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Message boards : General discussion : Favourite Prime Number.

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Joined: 7 Jan 12
Posts: 1050
ID: 126266
Credit: 2,659,503,119
RAC: 387,328
Discovered 7 mega primes2018 Tour de Primes largest primeFound 4 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (5,232,081)Cullen LLR Turquoise: Earned 5,000,000 credits (8,142,092)ESP LLR Turquoise: Earned 5,000,000 credits (6,237,477)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (6,466,498)PPS LLR Sapphire: Earned 20,000,000 credits (28,030,473)PSP LLR Turquoise: Earned 5,000,000 credits (5,053,061)SoB LLR Sapphire: Earned 20,000,000 credits (34,801,947)SR5 LLR Turquoise: Earned 5,000,000 credits (5,093,583)SGS LLR Turquoise: Earned 5,000,000 credits (5,000,646)TRP LLR Jade: Earned 10,000,000 credits (11,925,271)Woodall LLR Turquoise: Earned 5,000,000 credits (5,062,771)321 Sieve Turquoise: Earned 5,000,000 credits (5,025,452)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (7,892,369)Generalized Cullen/Woodall Sieve Turquoise: Earned 5,000,000 credits (5,515,338)PPS Sieve Double Gold: Earned 500,000,000 credits (774,689,510)TRP Sieve (suspended) Silver: Earned 100,000 credits (121,416)AP 26/27 Sapphire: Earned 20,000,000 credits (24,278,215)GFN Double Amethyst: Earned 1,000,000,000 credits (1,720,934,918)
Message 118407 - Posted: 6 Jun 2018 | 20:43:35 UTC

Apart from your own biggest Prime, has anyone got a favourite Prime? Ok I'll go 1st. I like Van Z's gfn20. Not because it's the biggest but because of its symmetry, 919444. Just sits well on the tongue. Hard to forget. Ok maybe I'm mad or OCD but order has an elegance does it not?
____________
My lucky number's 10590941048576+1 and 5641491616384+1 (GFN-14 Consecutive Prime)

Van ZimmermanProject donor
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Joined: 30 Aug 12
Posts: 1951
ID: 168418
Credit: 6,015,372,578
RAC: 4,168
Discovered the World's First GFN-20 prime!!!Discovered 2 mega primesFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de Primes321 LLR Sapphire: Earned 20,000,000 credits (20,089,185)Cullen LLR Sapphire: Earned 20,000,000 credits (21,197,588)ESP LLR Sapphire: Earned 20,000,000 credits (20,089,407)Generalized Cullen/Woodall LLR Sapphire: Earned 20,000,000 credits (21,873,609)PPS LLR Sapphire: Earned 20,000,000 credits (21,918,476)PSP LLR Sapphire: Earned 20,000,000 credits (20,117,197)SoB LLR Sapphire: Earned 20,000,000 credits (26,779,370)SR5 LLR Sapphire: Earned 20,000,000 credits (20,278,667)SGS LLR Sapphire: Earned 20,000,000 credits (20,055,153)TRP LLR Sapphire: Earned 20,000,000 credits (20,619,871)Woodall LLR Sapphire: Earned 20,000,000 credits (20,394,541)321 Sieve Sapphire: Earned 20,000,000 credits (24,315,505)Generalized Cullen/Woodall Sieve Sapphire: Earned 20,000,000 credits (20,373,251)PPS Sieve Double Amethyst: Earned 1,000,000,000 credits (1,051,222,753)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Jade: Earned 10,000,000 credits (10,189,695)TRP Sieve (suspended) Jade: Earned 10,000,000 credits (10,102,079)AP 26/27 Emerald: Earned 50,000,000 credits (60,248,786)GFN Double Ruby: Earned 2,000,000,000 credits (4,407,191,681)PSA Double Bronze: Earned 100,000,000 credits (198,313,575)
Message 118408 - Posted: 6 Jun 2018 | 21:02:00 UTC - in response to Message 118407.
Last modified: 6 Jun 2018 | 21:07:37 UTC

I like that one too. :)

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Joined: 7 Jan 12
Posts: 1050
ID: 126266
Credit: 2,659,503,119
RAC: 387,328
Discovered 7 mega primes2018 Tour de Primes largest primeFound 4 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (5,232,081)Cullen LLR Turquoise: Earned 5,000,000 credits (8,142,092)ESP LLR Turquoise: Earned 5,000,000 credits (6,237,477)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (6,466,498)PPS LLR Sapphire: Earned 20,000,000 credits (28,030,473)PSP LLR Turquoise: Earned 5,000,000 credits (5,053,061)SoB LLR Sapphire: Earned 20,000,000 credits (34,801,947)SR5 LLR Turquoise: Earned 5,000,000 credits (5,093,583)SGS LLR Turquoise: Earned 5,000,000 credits (5,000,646)TRP LLR Jade: Earned 10,000,000 credits (11,925,271)Woodall LLR Turquoise: Earned 5,000,000 credits (5,062,771)321 Sieve Turquoise: Earned 5,000,000 credits (5,025,452)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (7,892,369)Generalized Cullen/Woodall Sieve Turquoise: Earned 5,000,000 credits (5,515,338)PPS Sieve Double Gold: Earned 500,000,000 credits (774,689,510)TRP Sieve (suspended) Silver: Earned 100,000 credits (121,416)AP 26/27 Sapphire: Earned 20,000,000 credits (24,278,215)GFN Double Amethyst: Earned 1,000,000,000 credits (1,720,934,918)
Message 118409 - Posted: 6 Jun 2018 | 21:06:26 UTC - in response to Message 118408.

I like that one too. :)


:) no you're not allowed, it's your biggest! Apart from your biggest! :)
____________
My lucky number's 10590941048576+1 and 5641491616384+1 (GFN-14 Consecutive Prime)

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Joined: 30 Aug 12
Posts: 1951
ID: 168418
Credit: 6,015,372,578
RAC: 4,168
Discovered the World's First GFN-20 prime!!!Discovered 2 mega primesFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de Primes321 LLR Sapphire: Earned 20,000,000 credits (20,089,185)Cullen LLR Sapphire: Earned 20,000,000 credits (21,197,588)ESP LLR Sapphire: Earned 20,000,000 credits (20,089,407)Generalized Cullen/Woodall LLR Sapphire: Earned 20,000,000 credits (21,873,609)PPS LLR Sapphire: Earned 20,000,000 credits (21,918,476)PSP LLR Sapphire: Earned 20,000,000 credits (20,117,197)SoB LLR Sapphire: Earned 20,000,000 credits (26,779,370)SR5 LLR Sapphire: Earned 20,000,000 credits (20,278,667)SGS LLR Sapphire: Earned 20,000,000 credits (20,055,153)TRP LLR Sapphire: Earned 20,000,000 credits (20,619,871)Woodall LLR Sapphire: Earned 20,000,000 credits (20,394,541)321 Sieve Sapphire: Earned 20,000,000 credits (24,315,505)Generalized Cullen/Woodall Sieve Sapphire: Earned 20,000,000 credits (20,373,251)PPS Sieve Double Amethyst: Earned 1,000,000,000 credits (1,051,222,753)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Jade: Earned 10,000,000 credits (10,189,695)TRP Sieve (suspended) Jade: Earned 10,000,000 credits (10,102,079)AP 26/27 Emerald: Earned 50,000,000 credits (60,248,786)GFN Double Ruby: Earned 2,000,000,000 credits (4,407,191,681)PSA Double Bronze: Earned 100,000,000 credits (198,313,575)
Message 118410 - Posted: 6 Jun 2018 | 21:07:48 UTC

Ok, I would call out Tabaluga's 1955556^131072+1. Not so much for symmetry, but all those 5's.

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Joined: 7 Jan 12
Posts: 1050
ID: 126266
Credit: 2,659,503,119
RAC: 387,328
Discovered 7 mega primes2018 Tour de Primes largest primeFound 4 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (5,232,081)Cullen LLR Turquoise: Earned 5,000,000 credits (8,142,092)ESP LLR Turquoise: Earned 5,000,000 credits (6,237,477)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (6,466,498)PPS LLR Sapphire: Earned 20,000,000 credits (28,030,473)PSP LLR Turquoise: Earned 5,000,000 credits (5,053,061)SoB LLR Sapphire: Earned 20,000,000 credits (34,801,947)SR5 LLR Turquoise: Earned 5,000,000 credits (5,093,583)SGS LLR Turquoise: Earned 5,000,000 credits (5,000,646)TRP LLR Jade: Earned 10,000,000 credits (11,925,271)Woodall LLR Turquoise: Earned 5,000,000 credits (5,062,771)321 Sieve Turquoise: Earned 5,000,000 credits (5,025,452)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (7,892,369)Generalized Cullen/Woodall Sieve Turquoise: Earned 5,000,000 credits (5,515,338)PPS Sieve Double Gold: Earned 500,000,000 credits (774,689,510)TRP Sieve (suspended) Silver: Earned 100,000 credits (121,416)AP 26/27 Sapphire: Earned 20,000,000 credits (24,278,215)GFN Double Amethyst: Earned 1,000,000,000 credits (1,720,934,918)
Message 118411 - Posted: 6 Jun 2018 | 21:11:43 UTC - in response to Message 118410.

Ok, I would call out Tabaluga's 1955556^131072+1. Not so much for symmetry, but all those 5's.


Now you're talking, that's exactly what I mean. I'm with you on that. :)
____________
My lucky number's 10590941048576+1 and 5641491616384+1 (GFN-14 Consecutive Prime)

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Credit: 52,335,082
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Eliminated 1 conjecture "k"Found 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de Primes321 LLR Silver: Earned 100,000 credits (229,492)Cullen LLR Silver: Earned 100,000 credits (110,733)PPS LLR Ruby: Earned 2,000,000 credits (2,982,482)PSP LLR Silver: Earned 100,000 credits (104,385)SoB LLR Silver: Earned 100,000 credits (106,117)SR5 LLR Silver: Earned 100,000 credits (139,802)SGS LLR Amethyst: Earned 1,000,000 credits (1,073,792)TRP LLR Silver: Earned 100,000 credits (122,712)Woodall LLR Silver: Earned 100,000 credits (122,944)321 Sieve Silver: Earned 100,000 credits (104,900)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (2,000,599)Generalized Cullen/Woodall Sieve Gold: Earned 500,000 credits (515,556)PPS Sieve Jade: Earned 10,000,000 credits (11,215,485)TRP Sieve (suspended) Silver: Earned 100,000 credits (255,612)AP 26/27 Ruby: Earned 2,000,000 credits (2,575,874)GFN Sapphire: Earned 20,000,000 credits (23,152,487)PSA Turquoise: Earned 5,000,000 credits (7,522,050)
Message 118412 - Posted: 6 Jun 2018 | 21:22:45 UTC - in response to Message 118411.

To put aside it is (still) my largest prime, but when I found it it was like dream come true.
9*10^1009567-1 or 8 at the start and 9 up to the end, but there is 1009566 nines to the end :)
____________
271643232^131072+1 GENERALIZED FERMAT :)
93*10^1029523-1 REPDIGIT PRIME
31*332^367560+1 CRUS PRIME
Proud member of team Aggie The Pew. Go Aggie!

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Joined: 7 Jan 12
Posts: 1050
ID: 126266
Credit: 2,659,503,119
RAC: 387,328
Discovered 7 mega primes2018 Tour de Primes largest primeFound 4 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (5,232,081)Cullen LLR Turquoise: Earned 5,000,000 credits (8,142,092)ESP LLR Turquoise: Earned 5,000,000 credits (6,237,477)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (6,466,498)PPS LLR Sapphire: Earned 20,000,000 credits (28,030,473)PSP LLR Turquoise: Earned 5,000,000 credits (5,053,061)SoB LLR Sapphire: Earned 20,000,000 credits (34,801,947)SR5 LLR Turquoise: Earned 5,000,000 credits (5,093,583)SGS LLR Turquoise: Earned 5,000,000 credits (5,000,646)TRP LLR Jade: Earned 10,000,000 credits (11,925,271)Woodall LLR Turquoise: Earned 5,000,000 credits (5,062,771)321 Sieve Turquoise: Earned 5,000,000 credits (5,025,452)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (7,892,369)Generalized Cullen/Woodall Sieve Turquoise: Earned 5,000,000 credits (5,515,338)PPS Sieve Double Gold: Earned 500,000,000 credits (774,689,510)TRP Sieve (suspended) Silver: Earned 100,000 credits (121,416)AP 26/27 Sapphire: Earned 20,000,000 credits (24,278,215)GFN Double Amethyst: Earned 1,000,000,000 credits (1,720,934,918)
Message 118413 - Posted: 6 Jun 2018 | 21:29:11 UTC - in response to Message 118412.

To put aside it is (still) my largest prime, but when I found it it was like dream come true.
9*10^1009567-1 or 8 at the start and 9 up to the end, but there is 1009566 nines to the end :)


Awesome!, think your may win with that one hands down! Game over! Ah no, but that is ridiculously cool! :)
____________
My lucky number's 10590941048576+1 and 5641491616384+1 (GFN-14 Consecutive Prime)

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Posts: 2526
ID: 130544
Credit: 757,380,009
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Found 2 primes in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (5,008,573)Cullen LLR Turquoise: Earned 5,000,000 credits (5,005,909)ESP LLR Turquoise: Earned 5,000,000 credits (5,293,282)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (5,202,873)PPS LLR Turquoise: Earned 5,000,000 credits (5,200,064)PSP LLR Turquoise: Earned 5,000,000 credits (5,021,564)SoB LLR Turquoise: Earned 5,000,000 credits (8,851,996)SR5 LLR Turquoise: Earned 5,000,000 credits (5,000,482)SGS LLR Ruby: Earned 2,000,000 credits (3,921,970)TRP LLR Ruby: Earned 2,000,000 credits (3,501,055)Woodall LLR Ruby: Earned 2,000,000 credits (3,007,050)321 Sieve Amethyst: Earned 1,000,000 credits (1,686,942)Cullen/Woodall Sieve (suspended) Silver: Earned 100,000 credits (268,250)Generalized Cullen/Woodall Sieve Jade: Earned 10,000,000 credits (10,000,502)PPS Sieve Double Silver: Earned 200,000,000 credits (270,404,765)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Jade: Earned 10,000,000 credits (10,000,133)TRP Sieve (suspended) Jade: Earned 10,000,000 credits (10,000,970)AP 26/27 Double Bronze: Earned 100,000,000 credits (100,003,605)GFN Double Bronze: Earned 100,000,000 credits (100,000,025)PSA Double Silver: Earned 200,000,000 credits (200,000,001)
Message 118414 - Posted: 6 Jun 2018 | 21:31:45 UTC

Me too in terms of repdigit. Though I am also interested in binary-look primes, especially if they're palindromic...

mackerelProject donor
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Joined: 2 Oct 08
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Discovered 2 mega primesEliminated 1 conjecture "k"Found 3 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de PrimesFound 5 primes in the 2019 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (7,124,499)Cullen LLR Turquoise: Earned 5,000,000 credits (5,149,818)ESP LLR Turquoise: Earned 5,000,000 credits (6,403,926)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (5,122,074)PPS LLR Sapphire: Earned 20,000,000 credits (44,500,703)PSP LLR Jade: Earned 10,000,000 credits (10,128,604)SoB LLR Jade: Earned 10,000,000 credits (17,319,914)SR5 LLR Jade: Earned 10,000,000 credits (18,479,395)SGS LLR Turquoise: Earned 5,000,000 credits (6,702,766)TPS LLR (retired) Bronze: Earned 10,000 credits (34,130)TRP LLR Jade: Earned 10,000,000 credits (15,154,737)Woodall LLR Turquoise: Earned 5,000,000 credits (5,715,464)321 Sieve Turquoise: Earned 5,000,000 credits (8,326,385)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,383,853)Generalized Cullen/Woodall Sieve Sapphire: Earned 20,000,000 credits (20,626,419)PPS Sieve Emerald: Earned 50,000,000 credits (74,140,875)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,293,882)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,012,757)AP 26/27 Jade: Earned 10,000,000 credits (17,576,712)GFN Sapphire: Earned 20,000,000 credits (48,107,585)PSA Ruby: Earned 2,000,000 credits (2,939,755)
Message 118416 - Posted: 6 Jun 2018 | 21:50:17 UTC

467917 · 2^1993429 - 1

My first T5k prime, and highest ranking prime at the time of finding prime. It was part of the rieselsieve project, and one of my systems found it on Christmas eve. I only found out when I checked my e-mail on Christmas day. Best present ever.

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Joined: 7 Jan 12
Posts: 1050
ID: 126266
Credit: 2,659,503,119
RAC: 387,328
Discovered 7 mega primes2018 Tour de Primes largest primeFound 4 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (5,232,081)Cullen LLR Turquoise: Earned 5,000,000 credits (8,142,092)ESP LLR Turquoise: Earned 5,000,000 credits (6,237,477)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (6,466,498)PPS LLR Sapphire: Earned 20,000,000 credits (28,030,473)PSP LLR Turquoise: Earned 5,000,000 credits (5,053,061)SoB LLR Sapphire: Earned 20,000,000 credits (34,801,947)SR5 LLR Turquoise: Earned 5,000,000 credits (5,093,583)SGS LLR Turquoise: Earned 5,000,000 credits (5,000,646)TRP LLR Jade: Earned 10,000,000 credits (11,925,271)Woodall LLR Turquoise: Earned 5,000,000 credits (5,062,771)321 Sieve Turquoise: Earned 5,000,000 credits (5,025,452)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (7,892,369)Generalized Cullen/Woodall Sieve Turquoise: Earned 5,000,000 credits (5,515,338)PPS Sieve Double Gold: Earned 500,000,000 credits (774,689,510)TRP Sieve (suspended) Silver: Earned 100,000 credits (121,416)AP 26/27 Sapphire: Earned 20,000,000 credits (24,278,215)GFN Double Amethyst: Earned 1,000,000,000 credits (1,720,934,918)
Message 118417 - Posted: 6 Jun 2018 | 21:50:26 UTC - in response to Message 118414.

Me too in terms of repdigit. Though I am also interested in binary-look primes, especially if they're palindromic...


Any examples? Don't know much about this area.
____________
My lucky number's 10590941048576+1 and 5641491616384+1 (GFN-14 Consecutive Prime)

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Joined: 7 Jan 12
Posts: 1050
ID: 126266
Credit: 2,659,503,119
RAC: 387,328
Discovered 7 mega primes2018 Tour de Primes largest primeFound 4 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (5,232,081)Cullen LLR Turquoise: Earned 5,000,000 credits (8,142,092)ESP LLR Turquoise: Earned 5,000,000 credits (6,237,477)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (6,466,498)PPS LLR Sapphire: Earned 20,000,000 credits (28,030,473)PSP LLR Turquoise: Earned 5,000,000 credits (5,053,061)SoB LLR Sapphire: Earned 20,000,000 credits (34,801,947)SR5 LLR Turquoise: Earned 5,000,000 credits (5,093,583)SGS LLR Turquoise: Earned 5,000,000 credits (5,000,646)TRP LLR Jade: Earned 10,000,000 credits (11,925,271)Woodall LLR Turquoise: Earned 5,000,000 credits (5,062,771)321 Sieve Turquoise: Earned 5,000,000 credits (5,025,452)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (7,892,369)Generalized Cullen/Woodall Sieve Turquoise: Earned 5,000,000 credits (5,515,338)PPS Sieve Double Gold: Earned 500,000,000 credits (774,689,510)TRP Sieve (suspended) Silver: Earned 100,000 credits (121,416)AP 26/27 Sapphire: Earned 20,000,000 credits (24,278,215)GFN Double Amethyst: Earned 1,000,000,000 credits (1,720,934,918)
Message 118418 - Posted: 6 Jun 2018 | 21:58:40 UTC - in response to Message 118416.

467917 · 2^1993429 - 1

My first T5k prime, and highest ranking prime at the time of finding prime. It was part of the rieselsieve project, and one of my systems found it on Christmas eve. I only found out when I checked my e-mail on Christmas day. Best present ever.


Timing counts. How big was it and when?

Speaking of timing, I was hunting for gfn17low on the 4th june. Switched back to gfn18 when I saw one in the pipe and bang 18! But I had been on 18 since march, only switched to 17 low on the 2nd June or so. Almost missed it :)
____________
My lucky number's 10590941048576+1 and 5641491616384+1 (GFN-14 Consecutive Prime)

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Joined: 2 Oct 08
Posts: 2190
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Credit: 326,244,195
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Discovered 2 mega primesEliminated 1 conjecture "k"Found 3 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de PrimesFound 5 primes in the 2019 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (7,124,499)Cullen LLR Turquoise: Earned 5,000,000 credits (5,149,818)ESP LLR Turquoise: Earned 5,000,000 credits (6,403,926)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (5,122,074)PPS LLR Sapphire: Earned 20,000,000 credits (44,500,703)PSP LLR Jade: Earned 10,000,000 credits (10,128,604)SoB LLR Jade: Earned 10,000,000 credits (17,319,914)SR5 LLR Jade: Earned 10,000,000 credits (18,479,395)SGS LLR Turquoise: Earned 5,000,000 credits (6,702,766)TPS LLR (retired) Bronze: Earned 10,000 credits (34,130)TRP LLR Jade: Earned 10,000,000 credits (15,154,737)Woodall LLR Turquoise: Earned 5,000,000 credits (5,715,464)321 Sieve Turquoise: Earned 5,000,000 credits (8,326,385)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,383,853)Generalized Cullen/Woodall Sieve Sapphire: Earned 20,000,000 credits (20,626,419)PPS Sieve Emerald: Earned 50,000,000 credits (74,140,875)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,293,882)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,012,757)AP 26/27 Jade: Earned 10,000,000 credits (17,576,712)GFN Sapphire: Earned 20,000,000 credits (48,107,585)PSA Ruby: Earned 2,000,000 credits (2,939,755)
Message 118419 - Posted: 6 Jun 2018 | 22:04:10 UTC - in response to Message 118418.

Timing counts. How big was it and when?


https://primes.utm.edu/primes/page.php?id=76544

Just over 600k digits in 2005. Today, even a PPS prime would be bigger. I suppose you could put that prime down as the one that got me addicted.

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Discovered 7 mega primes2018 Tour de Primes largest primeFound 4 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (5,232,081)Cullen LLR Turquoise: Earned 5,000,000 credits (8,142,092)ESP LLR Turquoise: Earned 5,000,000 credits (6,237,477)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (6,466,498)PPS LLR Sapphire: Earned 20,000,000 credits (28,030,473)PSP LLR Turquoise: Earned 5,000,000 credits (5,053,061)SoB LLR Sapphire: Earned 20,000,000 credits (34,801,947)SR5 LLR Turquoise: Earned 5,000,000 credits (5,093,583)SGS LLR Turquoise: Earned 5,000,000 credits (5,000,646)TRP LLR Jade: Earned 10,000,000 credits (11,925,271)Woodall LLR Turquoise: Earned 5,000,000 credits (5,062,771)321 Sieve Turquoise: Earned 5,000,000 credits (5,025,452)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (7,892,369)Generalized Cullen/Woodall Sieve Turquoise: Earned 5,000,000 credits (5,515,338)PPS Sieve Double Gold: Earned 500,000,000 credits (774,689,510)TRP Sieve (suspended) Silver: Earned 100,000 credits (121,416)AP 26/27 Sapphire: Earned 20,000,000 credits (24,278,215)GFN Double Amethyst: Earned 1,000,000,000 credits (1,720,934,918)
Message 118420 - Posted: 6 Jun 2018 | 22:19:52 UTC - in response to Message 118419.

Timing counts. How big was it and when?


https://primes.utm.edu/primes/page.php?id=76544

Just over 600k digits in 2005. Today, even a PPS prime would be bigger. I suppose you could put that prime down as the one that got me addicted.


2005? Well impressive for then! Moore's law has had many iterations since then so pc power was comparatively poor back then so fair play to you for getting it.
____________
My lucky number's 10590941048576+1 and 5641491616384+1 (GFN-14 Consecutive Prime)

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Discovered 7 mega primes2018 Tour de Primes largest primeFound 4 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (5,232,081)Cullen LLR Turquoise: Earned 5,000,000 credits (8,142,092)ESP LLR Turquoise: Earned 5,000,000 credits (6,237,477)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (6,466,498)PPS LLR Sapphire: Earned 20,000,000 credits (28,030,473)PSP LLR Turquoise: Earned 5,000,000 credits (5,053,061)SoB LLR Sapphire: Earned 20,000,000 credits (34,801,947)SR5 LLR Turquoise: Earned 5,000,000 credits (5,093,583)SGS LLR Turquoise: Earned 5,000,000 credits (5,000,646)TRP LLR Jade: Earned 10,000,000 credits (11,925,271)Woodall LLR Turquoise: Earned 5,000,000 credits (5,062,771)321 Sieve Turquoise: Earned 5,000,000 credits (5,025,452)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (7,892,369)Generalized Cullen/Woodall Sieve Turquoise: Earned 5,000,000 credits (5,515,338)PPS Sieve Double Gold: Earned 500,000,000 credits (774,689,510)TRP Sieve (suspended) Silver: Earned 100,000 credits (121,416)AP 26/27 Sapphire: Earned 20,000,000 credits (24,278,215)GFN Double Amethyst: Earned 1,000,000,000 credits (1,720,934,918)
Message 118421 - Posted: 6 Jun 2018 | 22:47:21 UTC

How about 288larsons 86884666^16384+1 is pretty cool?
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My lucky number's 10590941048576+1 and 5641491616384+1 (GFN-14 Consecutive Prime)

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321 LLR Jade: Earned 10,000,000 credits (16,641,816)Cullen LLR Ruby: Earned 2,000,000 credits (3,581,962)ESP LLR Silver: Earned 100,000 credits (320,505)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (19,199,470)PPS LLR Jade: Earned 10,000,000 credits (12,250,691)PSP LLR Turquoise: Earned 5,000,000 credits (5,946,152)SoB LLR Ruby: Earned 2,000,000 credits (2,826,524)SR5 LLR Gold: Earned 500,000 credits (734,744)SGS LLR Gold: Earned 500,000 credits (677,436)TRP LLR Ruby: Earned 2,000,000 credits (2,629,055)Woodall LLR Turquoise: Earned 5,000,000 credits (7,786,137)321 Sieve Bronze: Earned 10,000 credits (73,485)Cullen/Woodall Sieve (suspended) Silver: Earned 100,000 credits (244,068)Generalized Cullen/Woodall Sieve Bronze: Earned 10,000 credits (12,561)PPS Sieve Amethyst: Earned 1,000,000 credits (1,562,311)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Bronze: Earned 10,000 credits (24,974)TRP Sieve (suspended) Silver: Earned 100,000 credits (129,007)AP 26/27 Silver: Earned 100,000 credits (226,440)GFN Jade: Earned 10,000,000 credits (10,752,884)PSA Emerald: Earned 50,000,000 credits (79,302,762)
Message 118423 - Posted: 7 Jun 2018 | 0:39:25 UTC

Well aside from the FPS i've found I like 2.
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321 LLR Bronze: Earned 10,000 credits (71,075)Cullen LLR Silver: Earned 100,000 credits (106,188)ESP LLR Silver: Earned 100,000 credits (196,319)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (107,884)PPS LLR Silver: Earned 100,000 credits (229,792)PSP LLR Silver: Earned 100,000 credits (200,302)SoB LLR Ruby: Earned 2,000,000 credits (2,128,114)SR5 LLR Bronze: Earned 10,000 credits (23,535)SGS LLR Bronze: Earned 10,000 credits (72,204)TRP LLR Silver: Earned 100,000 credits (176,488)Woodall LLR Bronze: Earned 10,000 credits (36,435)321 Sieve Gold: Earned 500,000 credits (623,302)Generalized Cullen/Woodall Sieve Ruby: Earned 2,000,000 credits (2,000,299)PPS Sieve Bronze: Earned 10,000 credits (47,194)AP 26/27 Bronze: Earned 10,000 credits (88,946)GFN Silver: Earned 100,000 credits (297,213)PSA Silver: Earned 100,000 credits (232,200)
Message 118424 - Posted: 7 Jun 2018 | 1:06:50 UTC

19249*2^13018586+1 . Yes, it made more interested in all these searches.

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Discovered the World's First base 116 Generalized Cullen prime!!!Discovered 13 mega primesEliminated 7 conjecture "k"sDiscovered 1 Sophie Germain pairDiscovered 1 Fermat divisor2012 Tour de Primes highest prime count2012 Tour de Primes most Mountain Stage primes2015 Tour de Primes highest prime count2016 Tour de Primes highest prime countFound 23 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de PrimesFound 2 primes in the 2018 Tour de Primes Mountain Stage2019 Tour de Primes highest prime countFound 22 primes in the 2019 Tour de Primes321 LLR Double Bronze: Earned 100,000,000 credits (100,829,118)Cullen LLR Double Bronze: Earned 100,000,000 credits (103,870,990)ESP LLR Double Bronze: Earned 100,000,000 credits (114,443,502)Generalized Cullen/Woodall LLR Double Bronze: Earned 100,000,000 credits (108,461,080)PPS LLR Double Silver: Earned 200,000,000 credits (343,575,390)PSP LLR Double Bronze: Earned 100,000,000 credits (108,003,110)SoB LLR Double Bronze: Earned 100,000,000 credits (135,747,083)SR5 LLR Double Silver: Earned 200,000,000 credits (201,210,377)SGS LLR Double Bronze: Earned 100,000,000 credits (160,908,586)TPS LLR (retired) Silver: Earned 100,000 credits (235,439)TRP LLR Double Bronze: Earned 100,000,000 credits (121,443,822)Woodall LLR Double Bronze: Earned 100,000,000 credits (101,447,725)321 Sieve Double Silver: Earned 200,000,000 credits (203,510,966)Cullen/Woodall Sieve (suspended) Emerald: Earned 50,000,000 credits (83,794,448)Generalized Cullen/Woodall Sieve Double Silver: Earned 200,000,000 credits (285,139,652)PPS Sieve Double Ruby: Earned 2,000,000,000 credits (2,107,819,760)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Double Silver: Earned 200,000,000 credits (203,523,358)TRP Sieve (suspended) Double Silver: Earned 200,000,000 credits (201,489,157)AP 26/27 Double Bronze: Earned 100,000,000 credits (119,562,131)GFN Double Amethyst: Earned 1,000,000,000 credits (1,222,501,936)PSA Double Silver: Earned 200,000,000 credits (259,058,048)
Message 118425 - Posted: 7 Jun 2018 | 2:19:37 UTC


I have found numerous mega primes, an actual SGS prime, a large Fermat divisor, and my favorite prime number is...


2


It is the only even prime number. That is awfully special in my book. :)


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Discovered 8 mega primesEliminated 2 conjecture "k"sDiscovered 2 AP26sDiscovered 1 twin prime2017 Tour de Primes highest prime count2017 Tour de Primes most Mountain Stage primes2018 Tour de Primes most Mountain Stage primesFound 4 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de PrimesFound 4 primes in the 2018 Tour de Primes Mountain StageFound 1 mega prime in the 2018 Tour de Primes Mountain StageFound 1 prime in the 2019 Tour de PrimesFound 1 mega prime in the 2019 Tour de Primes321 LLR Emerald: Earned 50,000,000 credits (53,032,223)Cullen LLR Emerald: Earned 50,000,000 credits (58,024,172)ESP LLR Emerald: Earned 50,000,000 credits (57,379,107)Generalized Cullen/Woodall LLR Emerald: Earned 50,000,000 credits (85,728,504)PPS LLR Double Bronze: Earned 100,000,000 credits (115,374,037)PSP LLR Emerald: Earned 50,000,000 credits (51,603,689)SoB LLR Double Silver: Earned 200,000,000 credits (232,641,811)SR5 LLR Emerald: Earned 50,000,000 credits (67,207,513)SGS LLR Emerald: Earned 50,000,000 credits (57,865,907)TRP LLR Double Bronze: Earned 100,000,000 credits (123,475,873)Woodall LLR Emerald: Earned 50,000,000 credits (58,962,100)321 Sieve Double Bronze: Earned 100,000,000 credits (101,250,415)Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (30,879,764)Generalized Cullen/Woodall Sieve Double Bronze: Earned 100,000,000 credits (100,428,955)PPS Sieve Double Ruby: Earned 2,000,000,000 credits (3,008,139,439)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Double Bronze: Earned 100,000,000 credits (101,857,516)TRP Sieve (suspended) Emerald: Earned 50,000,000 credits (50,936,081)AP 26/27 Double Gold: Earned 500,000,000 credits (908,951,303)GFN Double Ruby: Earned 2,000,000,000 credits (4,389,533,963)PSA Double Turquoise: Earned 5,000,000,000 credits (5,551,431,200)
Message 118426 - Posted: 7 Jun 2018 | 3:05:29 UTC - in response to Message 118425.
Last modified: 7 Jun 2018 | 3:06:39 UTC


I have found numerous mega primes, an actual SGS prime, a large Fermat divisor, and my favorite prime number is...


2


It is the only even prime number. That is awfully special in my book. :)



I'll go with 2 as well -- same reason
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321 LLR Silver: Earned 100,000 credits (268,229)Cullen LLR Bronze: Earned 10,000 credits (98,851)ESP LLR Silver: Earned 100,000 credits (139,922)Generalized Cullen/Woodall LLR Bronze: Earned 10,000 credits (35,236)PPS LLR Amethyst: Earned 1,000,000 credits (1,893,206)SoB LLR Silver: Earned 100,000 credits (237,390)SR5 LLR Bronze: Earned 10,000 credits (16,010)TRP LLR Bronze: Earned 10,000 credits (71,060)Woodall LLR Silver: Earned 100,000 credits (109,455)PSA Turquoise: Earned 5,000,000 credits (7,614,290)
Message 118429 - Posted: 7 Jun 2018 | 7:37:30 UTC - in response to Message 118417.
Last modified: 7 Jun 2018 | 7:53:49 UTC

Me too in terms of repdigit. Though I am also interested in binary-look primes, especially if they're palindromic...


Any examples? Don't know much about this area.


Mersenne primes are all 1s in binary. Of course they are not searched here at PrimeGrid.

Many primes we search here have trivial binary expansions because they are based on a huge power of two. For example a 321 prime of the minus type is all 1s except for the second-most significant bit which is 0, so:

101111...11

And 321 plus type starts with 11 then has only 0s until it ends in a single 1, that is:

110000...001

Any Proth prime (PPS, EPS, MEGA) is similar; it has a short "arbitrary" word of initial digits (from the k), then a long string of 0s and a single 1 in the end.

/JeppeSN

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Message 118430 - Posted: 7 Jun 2018 | 7:50:51 UTC

I have many favorites, but the number F4 = 65537 is cool because it is thought to be the largest prime of the form 2^N + 1, and hence the last prime that needs only two 1s in its binary expansion. And in hexadecimal as well.

In decimal, GF(1,10) = 101 is thought to be the last prime with digit sum 2. No multidigt prime in base 10 can have a digit sum of 3. Many primes with decimal digit sum 4 can be found (expect infinitely many, A062339).

In the opposite direction, primes of decimal appearance 899999...9 was already mentioned by Crun-chi.

/JeppeSN

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Eliminated 1 conjecture "k"Found 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de Primes321 LLR Silver: Earned 100,000 credits (229,492)Cullen LLR Silver: Earned 100,000 credits (110,733)PPS LLR Ruby: Earned 2,000,000 credits (2,982,482)PSP LLR Silver: Earned 100,000 credits (104,385)SoB LLR Silver: Earned 100,000 credits (106,117)SR5 LLR Silver: Earned 100,000 credits (139,802)SGS LLR Amethyst: Earned 1,000,000 credits (1,073,792)TRP LLR Silver: Earned 100,000 credits (122,712)Woodall LLR Silver: Earned 100,000 credits (122,944)321 Sieve Silver: Earned 100,000 credits (104,900)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (2,000,599)Generalized Cullen/Woodall Sieve Gold: Earned 500,000 credits (515,556)PPS Sieve Jade: Earned 10,000,000 credits (11,215,485)TRP Sieve (suspended) Silver: Earned 100,000 credits (255,612)AP 26/27 Ruby: Earned 2,000,000 credits (2,575,874)GFN Sapphire: Earned 20,000,000 credits (23,152,487)PSA Turquoise: Earned 5,000,000 credits (7,522,050)
Message 118432 - Posted: 7 Jun 2018 | 10:07:44 UTC - in response to Message 118430.

In form k*10^n+1 my largest prime is 9×10^100613+1
But now I attacking on two fronts ( 4*10^n+1 and 9*10^n+1), so you can expect one ,bigger, soon :)
____________
271643232^131072+1 GENERALIZED FERMAT :)
93*10^1029523-1 REPDIGIT PRIME
31*332^367560+1 CRUS PRIME
Proud member of team Aggie The Pew. Go Aggie!

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Found 1 prime in the 2018 Tour de Primes321 LLR Gold: Earned 500,000 credits (506,942)Cullen LLR Gold: Earned 500,000 credits (500,523)ESP LLR Gold: Earned 500,000 credits (655,642)Generalized Cullen/Woodall LLR Gold: Earned 500,000 credits (539,100)PPS LLR Gold: Earned 500,000 credits (688,232)PSP LLR Gold: Earned 500,000 credits (561,629)SoB LLR Ruby: Earned 2,000,000 credits (3,659,676)SR5 LLR Gold: Earned 500,000 credits (505,810)SGS LLR Gold: Earned 500,000 credits (506,024)TRP LLR Gold: Earned 500,000 credits (963,625)Woodall LLR Gold: Earned 500,000 credits (506,044)321 Sieve Gold: Earned 500,000 credits (511,694)Generalized Cullen/Woodall Sieve Gold: Earned 500,000 credits (549,916)PPS Sieve Gold: Earned 500,000 credits (701,168)AP 26/27 Gold: Earned 500,000 credits (525,590)GFN Turquoise: Earned 5,000,000 credits (9,675,760)PSA Gold: Earned 500,000 credits (525,639)
Message 118439 - Posted: 7 Jun 2018 | 14:31:11 UTC

My favorite prime is 22699.

It's one of the remaining SoB k's and the one from the very first SoB task I had from PrimeGrid. I was very interested in the subject and made a lot of my own little research looking into divisors of 22699*2^n+1 and stuff.

But if you need more generic proof, why it's a good prime? Sure. Let's start from 2 being a quite unique prime and 69 being... let's say, a well known number.

Then 269 is prime.

Then 2269 is prime and so is 2699.

Finally, 22699 is prime.

Q. E. D.

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The "Shut up already!" badge:  This loud mouth has mansplained on the forums over 10 thousand times!  Sheesh!!!Discovered the World's First GFN-19 prime!!!Discovered 1 mega primeFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de Primes321 LLR Ruby: Earned 2,000,000 credits (2,063,182)Cullen LLR Ruby: Earned 2,000,000 credits (2,005,249)ESP LLR Ruby: Earned 2,000,000 credits (3,820,430)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,145,754)PPS LLR Ruby: Earned 2,000,000 credits (2,773,744)PSP LLR Ruby: Earned 2,000,000 credits (2,632,269)SoB LLR Sapphire: Earned 20,000,000 credits (34,158,496)SR5 LLR Turquoise: Earned 5,000,000 credits (8,293,415)SGS LLR Ruby: Earned 2,000,000 credits (2,012,781)TRP LLR Ruby: Earned 2,000,000 credits (2,737,347)Woodall LLR Ruby: Earned 2,000,000 credits (2,195,123)321 Sieve Turquoise: Earned 5,000,000 credits (5,046,112)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,170,256)Generalized Cullen/Woodall Sieve Turquoise: Earned 5,000,000 credits (5,059,304)PPS Sieve Sapphire: Earned 20,000,000 credits (20,110,788)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,035,522)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (2,051,121)AP 26/27 Turquoise: Earned 5,000,000 credits (7,090,096)GFN Emerald: Earned 50,000,000 credits (64,594,991)PSA Jade: Earned 10,000,000 credits (10,135,447)
Message 118440 - Posted: 7 Jun 2018 | 14:52:21 UTC

My favorite prime (other than my GFN-19), is 193*2^3329782+1.

It's the only known mega prime that is a Fermat divisor.

I was the one who manually ran the Fermat divisor tests for that prime, so I clearly remember looking at the result on my screen and thinking, "Whoa... does that really say what I think it says???" :)



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Message 118441 - Posted: 7 Jun 2018 | 15:58:59 UTC - in response to Message 118440.

My favorite prime (other than my GFN-19), is 193*2^3329782+1.

It's the only known mega prime that is a Fermat divisor.

I was the one who manually ran the Fermat divisor tests for that prime, so I clearly remember looking at the result on my screen and thinking, "Whoa... does that really say what I think it says???" :)


You remind me of 3*2^382449+1!
Transpose mega into 100,000-digit.
I will never forget the "Whoa!!!".

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Discovered 2 mega primesEliminated 1 conjecture "k"Found 3 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de PrimesFound 5 primes in the 2019 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (7,124,499)Cullen LLR Turquoise: Earned 5,000,000 credits (5,149,818)ESP LLR Turquoise: Earned 5,000,000 credits (6,403,926)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (5,122,074)PPS LLR Sapphire: Earned 20,000,000 credits (44,500,703)PSP LLR Jade: Earned 10,000,000 credits (10,128,604)SoB LLR Jade: Earned 10,000,000 credits (17,319,914)SR5 LLR Jade: Earned 10,000,000 credits (18,479,395)SGS LLR Turquoise: Earned 5,000,000 credits (6,702,766)TPS LLR (retired) Bronze: Earned 10,000 credits (34,130)TRP LLR Jade: Earned 10,000,000 credits (15,154,737)Woodall LLR Turquoise: Earned 5,000,000 credits (5,715,464)321 Sieve Turquoise: Earned 5,000,000 credits (8,326,385)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,383,853)Generalized Cullen/Woodall Sieve Sapphire: Earned 20,000,000 credits (20,626,419)PPS Sieve Emerald: Earned 50,000,000 credits (74,140,875)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,293,882)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,012,757)AP 26/27 Jade: Earned 10,000,000 credits (17,576,712)GFN Sapphire: Earned 20,000,000 credits (48,107,585)PSA Ruby: Earned 2,000,000 credits (2,939,755)
Message 118443 - Posted: 7 Jun 2018 | 17:06:17 UTC - in response to Message 118430.

In decimal, GF(1,10) = 101 is thought to be the last prime with digit sum 2. No multidigt prime in base 10 can have a digit sum of 3.

You made me think! Since the 1st one sounds unproven, then assuming the 2nd one is correct possible solutions must have factors. Am I good enough to work out a proof myself?... so that would be numbers either starting 2 ending 1 with variable number of zeros in between, or starting 1, ending 1, with a 1 in between, each separated by variable numbers of zeros...

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Message 118445 - Posted: 7 Jun 2018 | 17:34:53 UTC - in response to Message 118443.

In decimal, GF(1,10) = 101 is thought to be the last prime with digit sum 2. No multidigt prime in base 10 can have a digit sum of 3.

You made me think! Since the 1st one sounds unproven, then assuming the 2nd one is correct possible solutions must have factors. Am I good enough to work out a proof myself?... so that would be numbers either starting 2 ending 1 with variable number of zeros in between, or starting 1, ending 1, with a 1 in between, each separated by variable numbers of zeros...

think about divisibility by 3

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Message 118450 - Posted: 7 Jun 2018 | 21:07:58 UTC - in response to Message 118440.

My favorite prime (other than my GFN-19), is 193*2^3329782+1.

It's the only known mega prime that is a Fermat divisor.

I was the one who manually ran the Fermat divisor tests for that prime, so I clearly remember looking at the result on my screen and thinking, "Whoa... does that really say what I think it says???" :)

Good one! I wonder when that record will be beaten (by some PrimeGrid user for sure).

It is quite hard to imagine how huge megaprimes are, but try to think about the Fermat number whose primality status (composite!) is revealed by this number:

F_3329780 = 2^(2^3329780) + 1

/JeppeSN

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Message 118453 - Posted: 7 Jun 2018 | 21:28:41 UTC - in response to Message 118439.

My favorite prime is 22699.

It's one of the remaining SoB k's and the one from the very first SoB task I had from PrimeGrid. I was very interested in the subject and made a lot of my own little research looking into divisors of 22699*2^n+1 and stuff.

But if you need more generic proof, why it's a good prime? Sure. Let's start from 2 being a quite unique prime and 69 being... let's say, a well known number.

Then 269 is prime.

Then 2269 is prime and so is 2699.

Finally, 22699 is prime.

Q. E. D.


Very very cool.

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Message 118503 - Posted: 9 Jun 2018 | 8:29:16 UTC

How about this one, just got overnight,

131400000^16384+1,

Tidy. :)
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Message 118505 - Posted: 9 Jun 2018 | 11:11:30 UTC - in response to Message 118440.

It's the only known mega prime that is a Fermat divisor.

This also made me wonder:

What is the first Fermat number divisible by a megaprime? The first one that has a chance, is F_22.

And what is the last Fermat number divisible by a non-mega-prime (a prime that is too small to be a megaprime)? It must be less than F_3321922, because all factors of F_n are of form k*2^(n+2) + 1 with k>1. So all primes from F_3321922 and up have only megaprimes as prime divisors.

/JeppeSN

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The "Shut up already!" badge:  This loud mouth has mansplained on the forums over 10 thousand times!  Sheesh!!!Discovered the World's First GFN-19 prime!!!Discovered 1 mega primeFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de Primes321 LLR Ruby: Earned 2,000,000 credits (2,063,182)Cullen LLR Ruby: Earned 2,000,000 credits (2,005,249)ESP LLR Ruby: Earned 2,000,000 credits (3,820,430)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,145,754)PPS LLR Ruby: Earned 2,000,000 credits (2,773,744)PSP LLR Ruby: Earned 2,000,000 credits (2,632,269)SoB LLR Sapphire: Earned 20,000,000 credits (34,158,496)SR5 LLR Turquoise: Earned 5,000,000 credits (8,293,415)SGS LLR Ruby: Earned 2,000,000 credits (2,012,781)TRP LLR Ruby: Earned 2,000,000 credits (2,737,347)Woodall LLR Ruby: Earned 2,000,000 credits (2,195,123)321 Sieve Turquoise: Earned 5,000,000 credits (5,046,112)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,170,256)Generalized Cullen/Woodall Sieve Turquoise: Earned 5,000,000 credits (5,059,304)PPS Sieve Sapphire: Earned 20,000,000 credits (20,110,788)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,035,522)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (2,051,121)AP 26/27 Turquoise: Earned 5,000,000 credits (7,090,096)GFN Emerald: Earned 50,000,000 credits (64,594,991)PSA Jade: Earned 10,000,000 credits (10,135,447)
Message 118508 - Posted: 9 Jun 2018 | 12:53:49 UTC - in response to Message 118505.

It's the only known mega prime that is a Fermat divisor.

This also made me wonder:

What is the first Fermat number divisible by a megaprime? The first one that has a chance, is F_22.


I had to think about that one for a moment. :)

I don't think any of the searches we're doing, or any of the software, would be useful in answering that question. Certainly, PFGW, when checking for Fermat divisors, finds divisors MUCH larger than the prime being checked. For a prime with a million digits, it's looking at Fermat numbers around F_3300000, not F_22.


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Message 118513 - Posted: 9 Jun 2018 | 18:05:03 UTC - in response to Message 118505.

So all primes from F_3321922 and up have only megaprimes as prime divisors.


Of course, I meant all Fermat numbers from F_3321922 and up have only megaprimes as prime divisors. /JeppeSN

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Message 118514 - Posted: 9 Jun 2018 | 18:20:29 UTC - in response to Message 118508.

It's the only known mega prime that is a Fermat divisor.

This also made me wonder:

What is the first Fermat number divisible by a megaprime? The first one that has a chance, is F_22.


I had to think about that one for a moment. :)

I don't think any of the searches we're doing, or any of the software, would be useful in answering that question. Certainly, PFGW, when checking for Fermat divisors, finds divisors MUCH larger than the prime being checked. For a prime with a million digits, it's looking at Fermat numbers around F_3300000, not F_22.

I agree! Methods like the one used by David Bessel (Elliptic Curves Method (ECM) with Prime95 software) to find the first factor of F_22, or similar, could be used to find one more small factor, or a couple more, and then the cofactor can be tested, and if we are extremely lucky, that huge cofactor will be prime, a megaprime, and we will have F_22 divisible by a megaprime.

It would be really sensational to have F_22 completely factored like that (no Fermat number greater than F_11 has been completely factored).

I do not think we could find a megaprime factor of a "small" Fermat number like F_22 in any other way than eliminating some small factors and having enough luck that the huge cofactor after that is prime(?).

That megaprime would be expressible only as:
F_22 / [(3853959202444067657533632211*2^24 +1)*(other small factor)*...]


/JeppeSN

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Message 118541 - Posted: 10 Jun 2018 | 21:22:09 UTC

My favorite number is the 26th Eisenstein-Mersenne Norm prime: 3^2237561+3^1118781+1

My second favorite is the prime partitions number of a number which is square: partitions(14881^2)
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Message 118614 - Posted: 13 Jun 2018 | 20:04:34 UTC

6391936^131072+1 found by participant jess is a nice prime too. 6391936 is palindromic.

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Message 118615 - Posted: 13 Jun 2018 | 20:12:45 UTC - in response to Message 118614.

6391936^131072+1 found by participant jess is a nice prime too. 6391936 is palindromic.


Agreed! Like it. Might be best yet :) well for me anyway :)
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Message 118639 - Posted: 14 Jun 2018 | 10:42:13 UTC - in response to Message 118615.
Last modified: 14 Jun 2018 | 10:48:20 UTC

Ä°t is very rare. There are no another example of this property among gfn primes (except gfn14 and below I didnt checked them) May be there are other examples in other subprojects. This is a nice thread I think. Participants can discover interesting properties about their primes and share here. I like and I am interested in prime curios /The numbers which have interesting properties and related to primes. I noticed another nice example ;

9249*2^32767+1 a pps prime with 9868 digits. 32767=2^15-1 :)) 9249*2^(2^15-1)+1 is prime ! wow.
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3909127223745*2^1290000-1 is prime!
126055746^32768+1 is prime!
175894284^16384+1 is prime! (Private gfn server)
127511188^8192+1 is prime! (Private gfn server)

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Message 118644 - Posted: 14 Jun 2018 | 11:54:23 UTC

Are there any golden sequential pandigitals e.g.123456789×2^n? Or k×2^[pandigit]? Another mini-conjecture.

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Message 118651 - Posted: 14 Jun 2018 | 18:02:47 UTC - in response to Message 118644.
Last modified: 14 Jun 2018 | 18:07:22 UTC

e.g.123456789×2^n


123456789*2^1 - 1 is prime :P

Or k×2^[pandigit]?


I would imagine a number of this size would be difficult to check, since it would have at a minimum 37 million digits (123456789 * log10(2) +1 ~ 37,164,197), which is currently 10 million digits longer than the largest prime found. Perhaps in the future, but I wouldn't bank on making that sort of discovery anytime soon. I suppose there would "only" be 362 thousand numbers to check per k - 724 thousand if you wanted +1 and -1 - but it seems like a lot of work.

I think far more interesting would be a prime where the numbers come in order - something like 1 * 2^(345*678) - 9 or something. I haven't found any resources on them, and while I'd like to search for them, I'm unclear on the number theory of the divisors of the power of 2 and primality and that sort of thing.

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Message 118709 - Posted: 16 Jun 2018 | 16:12:57 UTC - in response to Message 118644.

If you go to https://primes.utm.edu/primes/search.php and search for 123456789 in description, and hit the box for all primes then there are a handful containing that sequence. Makes me wonder, how far have people searched 123456789*2^n +/- 1

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Discovered 7 mega primes2018 Tour de Primes largest primeFound 4 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (5,232,081)Cullen LLR Turquoise: Earned 5,000,000 credits (8,142,092)ESP LLR Turquoise: Earned 5,000,000 credits (6,237,477)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (6,466,498)PPS LLR Sapphire: Earned 20,000,000 credits (28,030,473)PSP LLR Turquoise: Earned 5,000,000 credits (5,053,061)SoB LLR Sapphire: Earned 20,000,000 credits (34,801,947)SR5 LLR Turquoise: Earned 5,000,000 credits (5,093,583)SGS LLR Turquoise: Earned 5,000,000 credits (5,000,646)TRP LLR Jade: Earned 10,000,000 credits (11,925,271)Woodall LLR Turquoise: Earned 5,000,000 credits (5,062,771)321 Sieve Turquoise: Earned 5,000,000 credits (5,025,452)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (7,892,369)Generalized Cullen/Woodall Sieve Turquoise: Earned 5,000,000 credits (5,515,338)PPS Sieve Double Gold: Earned 500,000,000 credits (774,689,510)TRP Sieve (suspended) Silver: Earned 100,000 credits (121,416)AP 26/27 Sapphire: Earned 20,000,000 credits (24,278,215)GFN Double Amethyst: Earned 1,000,000,000 credits (1,720,934,918)
Message 118710 - Posted: 16 Jun 2018 | 16:25:50 UTC - in response to Message 118709.

If you go to https://primes.utm.edu/primes/search.php and search for 123456789 in description, and hit the box for all primes then there are a handful containing that sequence. Makes me wonder, how far have people searched 123456789*2^n +/- 1


Wow there's quite a few including

123456789123456789 · 105513 + 1

New subproject? :)
____________
My lucky number's 10590941048576+1 and 5641491616384+1 (GFN-14 Consecutive Prime)

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Joined: 7 Jan 12
Posts: 1050
ID: 126266
Credit: 2,659,503,119
RAC: 387,328
Discovered 7 mega primes2018 Tour de Primes largest primeFound 4 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (5,232,081)Cullen LLR Turquoise: Earned 5,000,000 credits (8,142,092)ESP LLR Turquoise: Earned 5,000,000 credits (6,237,477)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (6,466,498)PPS LLR Sapphire: Earned 20,000,000 credits (28,030,473)PSP LLR Turquoise: Earned 5,000,000 credits (5,053,061)SoB LLR Sapphire: Earned 20,000,000 credits (34,801,947)SR5 LLR Turquoise: Earned 5,000,000 credits (5,093,583)SGS LLR Turquoise: Earned 5,000,000 credits (5,000,646)TRP LLR Jade: Earned 10,000,000 credits (11,925,271)Woodall LLR Turquoise: Earned 5,000,000 credits (5,062,771)321 Sieve Turquoise: Earned 5,000,000 credits (5,025,452)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (7,892,369)Generalized Cullen/Woodall Sieve Turquoise: Earned 5,000,000 credits (5,515,338)PPS Sieve Double Gold: Earned 500,000,000 credits (774,689,510)TRP Sieve (suspended) Silver: Earned 100,000 credits (121,416)AP 26/27 Sapphire: Earned 20,000,000 credits (24,278,215)GFN Double Amethyst: Earned 1,000,000,000 credits (1,720,934,918)
Message 119324 - Posted: 7 Jul 2018 | 18:03:29 UTC

I got this one, would have been a beaut, but alas not prime

2244422^524288+1 :(
____________
My lucky number's 10590941048576+1 and 5641491616384+1 (GFN-14 Consecutive Prime)

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Joined: 25 Nov 09
Posts: 2751
ID: 50683
Credit: 52,335,082
RAC: 5,270
Eliminated 1 conjecture "k"Found 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de Primes321 LLR Silver: Earned 100,000 credits (229,492)Cullen LLR Silver: Earned 100,000 credits (110,733)PPS LLR Ruby: Earned 2,000,000 credits (2,982,482)PSP LLR Silver: Earned 100,000 credits (104,385)SoB LLR Silver: Earned 100,000 credits (106,117)SR5 LLR Silver: Earned 100,000 credits (139,802)SGS LLR Amethyst: Earned 1,000,000 credits (1,073,792)TRP LLR Silver: Earned 100,000 credits (122,712)Woodall LLR Silver: Earned 100,000 credits (122,944)321 Sieve Silver: Earned 100,000 credits (104,900)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (2,000,599)Generalized Cullen/Woodall Sieve Gold: Earned 500,000 credits (515,556)PPS Sieve Jade: Earned 10,000,000 credits (11,215,485)TRP Sieve (suspended) Silver: Earned 100,000 credits (255,612)AP 26/27 Ruby: Earned 2,000,000 credits (2,575,874)GFN Sapphire: Earned 20,000,000 credits (23,152,487)PSA Turquoise: Earned 5,000,000 credits (7,522,050)
Message 119342 - Posted: 8 Jul 2018 | 16:01:47 UTC - in response to Message 118710.
Last modified: 8 Jul 2018 | 16:04:09 UTC

If you go to https://primes.utm.edu/primes/search.php and search for 123456789 in description, and hit the box for all primes then there are a handful containing that sequence. Makes me wonder, how far have people searched 123456789*2^n +/- 1


Wow there's quite a few including

123456789123456789 · 105513 + 1

New subproject? :)


Home subproject: even this is Primegrid forum, and we are all members of Primegrid, dont be afraid to start new sieve, make your own project, find your own prime.Even Primegrid give you chance to find primes in many projects it is still and only just grain of sand on whole beach of primes. :)
123456789*2 ^n+/-1 is also interesting
or
11111111111*2^n +/-1
Possibilities are endless
____________
271643232^131072+1 GENERALIZED FERMAT :)
93*10^1029523-1 REPDIGIT PRIME
31*332^367560+1 CRUS PRIME
Proud member of team Aggie The Pew. Go Aggie!

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Joined: 7 Jan 12
Posts: 1050
ID: 126266
Credit: 2,659,503,119
RAC: 387,328
Discovered 7 mega primes2018 Tour de Primes largest primeFound 4 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (5,232,081)Cullen LLR Turquoise: Earned 5,000,000 credits (8,142,092)ESP LLR Turquoise: Earned 5,000,000 credits (6,237,477)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (6,466,498)PPS LLR Sapphire: Earned 20,000,000 credits (28,030,473)PSP LLR Turquoise: Earned 5,000,000 credits (5,053,061)SoB LLR Sapphire: Earned 20,000,000 credits (34,801,947)SR5 LLR Turquoise: Earned 5,000,000 credits (5,093,583)SGS LLR Turquoise: Earned 5,000,000 credits (5,000,646)TRP LLR Jade: Earned 10,000,000 credits (11,925,271)Woodall LLR Turquoise: Earned 5,000,000 credits (5,062,771)321 Sieve Turquoise: Earned 5,000,000 credits (5,025,452)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (7,892,369)Generalized Cullen/Woodall Sieve Turquoise: Earned 5,000,000 credits (5,515,338)PPS Sieve Double Gold: Earned 500,000,000 credits (774,689,510)TRP Sieve (suspended) Silver: Earned 100,000 credits (121,416)AP 26/27 Sapphire: Earned 20,000,000 credits (24,278,215)GFN Double Amethyst: Earned 1,000,000,000 credits (1,720,934,918)
Message 122179 - Posted: 7 Nov 2018 | 1:32:27 UTC

Got this today 304442222^16384+1

Sweet! :) symmetry.
____________
My lucky number's 10590941048576+1 and 5641491616384+1 (GFN-14 Consecutive Prime)

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Joined: 13 Aug 10
Posts: 7047
ID: 65483
Credit: 3,955,557,092
RAC: 104,533
Discovered 1 mega primeFound 2 primes in the 2018 Tour de PrimesFound 2 primes in the 2019 Tour de Primes321 LLR Ruby: Earned 2,000,000 credits (2,148,880)Cullen LLR Ruby: Earned 2,000,000 credits (2,773,730)ESP LLR Ruby: Earned 2,000,000 credits (3,406,634)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (3,356,142)PPS LLR Jade: Earned 10,000,000 credits (14,148,757)PSP LLR Ruby: Earned 2,000,000 credits (2,084,850)SoB LLR Turquoise: Earned 5,000,000 credits (5,014,268)SR5 LLR Jade: Earned 10,000,000 credits (11,169,992)SGS LLR Turquoise: Earned 5,000,000 credits (6,132,465)TRP LLR Turquoise: Earned 5,000,000 credits (6,568,836)Woodall LLR Ruby: Earned 2,000,000 credits (3,612,313)321 Sieve Sapphire: Earned 20,000,000 credits (45,553,842)Cullen/Woodall Sieve (suspended) Double Bronze: Earned 100,000,000 credits (127,922,665)Generalized Cullen/Woodall Sieve Sapphire: Earned 20,000,000 credits (30,984,158)PPS Sieve Double Ruby: Earned 2,000,000,000 credits (2,046,474,557)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Turquoise: Earned 5,000,000 credits (8,134,964)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (7,013,696)AP 26/27 Double Bronze: Earned 100,000,000 credits (106,338,986)GFN Double Bronze: Earned 100,000,000 credits (152,016,870)PSA Double Amethyst: Earned 1,000,000,000 credits (1,370,700,486)
Message 122180 - Posted: 7 Nov 2018 | 1:45:39 UTC

Fav number is 7 and a prime.

Dad
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Joined: 28 Feb 18
Posts: 284
ID: 984171
Credit: 182,080,291
RAC: 642
Discovered 2 mega primes321 LLR Gold: Earned 500,000 credits (503,707)Cullen LLR Amethyst: Earned 1,000,000 credits (1,001,529)ESP LLR Gold: Earned 500,000 credits (502,172)Generalized Cullen/Woodall LLR Amethyst: Earned 1,000,000 credits (1,028,459)PPS LLR Turquoise: Earned 5,000,000 credits (7,989,101)PSP LLR Gold: Earned 500,000 credits (566,759)SoB LLR Ruby: Earned 2,000,000 credits (2,047,598)SR5 LLR Amethyst: Earned 1,000,000 credits (1,014,245)SGS LLR Amethyst: Earned 1,000,000 credits (1,343,649)TRP LLR Amethyst: Earned 1,000,000 credits (1,279,172)Woodall LLR Amethyst: Earned 1,000,000 credits (1,017,620)321 Sieve Amethyst: Earned 1,000,000 credits (1,005,090)Generalized Cullen/Woodall Sieve Sapphire: Earned 20,000,000 credits (32,970,234)PPS Sieve Sapphire: Earned 20,000,000 credits (31,771,675)AP 26/27 Ruby: Earned 2,000,000 credits (2,179,177)GFN Emerald: Earned 50,000,000 credits (87,116,853)PSA Turquoise: Earned 5,000,000 credits (8,743,250)
Message 122181 - Posted: 7 Nov 2018 | 1:48:20 UTC

Mine is

555*2^3563328+1

because it's got 555 and it's my first (and only) Mega
____________


Tonight's lucky numbers are

555*2^3563328+1 (PPS-MEGA)

and

58523466^131072+1 (GFN-17 MEGA)

Chara34122
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Joined: 11 Feb 17
Posts: 37
ID: 490242
Credit: 6,642,896
RAC: 1,371
321 LLR Bronze: Earned 10,000 credits (71,075)Cullen LLR Silver: Earned 100,000 credits (106,188)ESP LLR Silver: Earned 100,000 credits (196,319)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (107,884)PPS LLR Silver: Earned 100,000 credits (229,792)PSP LLR Silver: Earned 100,000 credits (200,302)SoB LLR Ruby: Earned 2,000,000 credits (2,128,114)SR5 LLR Bronze: Earned 10,000 credits (23,535)SGS LLR Bronze: Earned 10,000 credits (72,204)TRP LLR Silver: Earned 100,000 credits (176,488)Woodall LLR Bronze: Earned 10,000 credits (36,435)321 Sieve Gold: Earned 500,000 credits (623,302)Generalized Cullen/Woodall Sieve Ruby: Earned 2,000,000 credits (2,000,299)PPS Sieve Bronze: Earned 10,000 credits (47,194)AP 26/27 Bronze: Earned 10,000 credits (88,946)GFN Silver: Earned 100,000 credits (297,213)PSA Silver: Earned 100,000 credits (232,200)
Message 122184 - Posted: 7 Nov 2018 | 5:24:13 UTC
Last modified: 7 Nov 2018 | 5:35:10 UTC

If we talk about the relatively small primes, my favourite from them is 333667. It's probably the largest unique period prime without digits 0 1 9. Also this is the largest prime divisor of the "magic number" 12345679 and of course 111111111. And for its "almost symmetry".

Margus
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Posts: 10
ID: 974681
Credit: 66,513,076
RAC: 1,162
Found 2 primes in the 2019 Tour de Primes321 LLR Amethyst: Earned 1,000,000 credits (1,004,300)Cullen LLR Ruby: Earned 2,000,000 credits (2,000,179)ESP LLR Amethyst: Earned 1,000,000 credits (1,191,040)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,005,014)PPS LLR Jade: Earned 10,000,000 credits (10,404,145)PSP LLR Amethyst: Earned 1,000,000 credits (1,587,462)SoB LLR Ruby: Earned 2,000,000 credits (2,021,218)SR5 LLR Jade: Earned 10,000,000 credits (10,024,503)SGS LLR Ruby: Earned 2,000,000 credits (2,020,903)TRP LLR Ruby: Earned 2,000,000 credits (2,464,430)Woodall LLR Amethyst: Earned 1,000,000 credits (1,391,400)321 Sieve Amethyst: Earned 1,000,000 credits (1,653,398)Generalized Cullen/Woodall Sieve Ruby: Earned 2,000,000 credits (2,203,942)PPS Sieve Turquoise: Earned 5,000,000 credits (5,005,935)AP 26/27 Turquoise: Earned 5,000,000 credits (5,029,492)GFN Turquoise: Earned 5,000,000 credits (6,738,651)PSA Turquoise: Earned 5,000,000 credits (9,767,063)
Message 122186 - Posted: 7 Nov 2018 | 7:39:43 UTC - in response to Message 122184.

If we talk about the relatively small primes, my favourite from them is 333667. It's probably the largest unique period prime without digits 0 1 9. Also this is the largest prime divisor of the "magic number" 12345679 and of course 111111111. And for its "almost symmetry".

https://primes.utm.edu/curios/page.php/333667.html

Michael Millerick
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Joined: 4 Feb 09
Posts: 634
ID: 35074
Credit: 126,264,270
RAC: 139
321 LLR Amethyst: Earned 1,000,000 credits (1,063,954)Cullen LLR Gold: Earned 500,000 credits (665,748)ESP LLR Amethyst: Earned 1,000,000 credits (1,025,432)Generalized Cullen/Woodall LLR Gold: Earned 500,000 credits (589,484)PPS LLR Turquoise: Earned 5,000,000 credits (5,561,462)PSP LLR Amethyst: Earned 1,000,000 credits (1,134,556)SoB LLR Amethyst: Earned 1,000,000 credits (1,064,898)SR5 LLR Amethyst: Earned 1,000,000 credits (1,043,015)SGS LLR Amethyst: Earned 1,000,000 credits (1,072,821)TRP LLR Amethyst: Earned 1,000,000 credits (1,026,807)Woodall LLR Amethyst: Earned 1,000,000 credits (1,042,977)321 Sieve Ruby: Earned 2,000,000 credits (2,096,785)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,911,344)Generalized Cullen/Woodall Sieve Ruby: Earned 2,000,000 credits (2,077,092)PPS Sieve Sapphire: Earned 20,000,000 credits (45,225,274)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,034,014)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (2,070,774)AP 26/27 Amethyst: Earned 1,000,000 credits (1,913,157)GFN Ruby: Earned 2,000,000 credits (4,388,283)PSA Sapphire: Earned 20,000,000 credits (47,256,391)
Message 122187 - Posted: 7 Nov 2018 | 8:12:43 UTC

19 -- I've just always thought it was a good number.
____________

Chara34122
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Joined: 11 Feb 17
Posts: 37
ID: 490242
Credit: 6,642,896
RAC: 1,371
321 LLR Bronze: Earned 10,000 credits (71,075)Cullen LLR Silver: Earned 100,000 credits (106,188)ESP LLR Silver: Earned 100,000 credits (196,319)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (107,884)PPS LLR Silver: Earned 100,000 credits (229,792)PSP LLR Silver: Earned 100,000 credits (200,302)SoB LLR Ruby: Earned 2,000,000 credits (2,128,114)SR5 LLR Bronze: Earned 10,000 credits (23,535)SGS LLR Bronze: Earned 10,000 credits (72,204)TRP LLR Silver: Earned 100,000 credits (176,488)Woodall LLR Bronze: Earned 10,000 credits (36,435)321 Sieve Gold: Earned 500,000 credits (623,302)Generalized Cullen/Woodall Sieve Ruby: Earned 2,000,000 credits (2,000,299)PPS Sieve Bronze: Earned 10,000 credits (47,194)AP 26/27 Bronze: Earned 10,000 credits (88,946)GFN Silver: Earned 100,000 credits (297,213)PSA Silver: Earned 100,000 credits (232,200)
Message 122321 - Posted: 9 Nov 2018 | 14:07:04 UTC - in response to Message 122186.
Last modified: 9 Nov 2018 | 14:07:24 UTC

Thanks!!!

What about primes that make numbers after 271129 non-Sierpinski? Really like them.

271169*2^1725+1 and 271463*2^1805+1 (so, between 271129 and 271577 there is nothing missed).

324169*2^15802+1 and 327679*2^24046+1 (the same thing about 322523 and 327737).

TheCruelLogician
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Joined: 24 May 18
Posts: 109
ID: 1019105
Credit: 40,360,773
RAC: 5,111
Found 1 prime in the 2019 Tour de Primes321 LLR Bronze: Earned 10,000 credits (15,725)Cullen LLR Bronze: Earned 10,000 credits (34,191)ESP LLR Amethyst: Earned 1,000,000 credits (1,015,362)Generalized Cullen/Woodall LLR Gold: Earned 500,000 credits (651,908)PPS LLR Ruby: Earned 2,000,000 credits (2,619,556)PSP LLR Bronze: Earned 10,000 credits (25,763)SoB LLR Amethyst: Earned 1,000,000 credits (1,465,433)SR5 LLR Silver: Earned 100,000 credits (278,040)SGS LLR Silver: Earned 100,000 credits (339,744)TRP LLR Gold: Earned 500,000 credits (565,318)Woodall LLR Bronze: Earned 10,000 credits (18,231)321 Sieve Silver: Earned 100,000 credits (128,076)Generalized Cullen/Woodall Sieve Ruby: Earned 2,000,000 credits (2,366,124)PPS Sieve Jade: Earned 10,000,000 credits (13,834,584)AP 26/27 Jade: Earned 10,000,000 credits (10,188,360)GFN Turquoise: Earned 5,000,000 credits (6,814,357)
Message 122538 - Posted: 16 Nov 2018 | 3:29:46 UTC - in response to Message 118420.

Timing counts. How big was it and when?


https://primes.utm.edu/primes/page.php?id=76544

Just over 600k digits in 2005. Today, even a PPS prime would be bigger. I suppose you could put that prime down as the one that got me addicted.


2005? Well impressive for then! Moore's law has had many iterations since then so pc power was comparatively poor back then so fair play to you for getting it.


looks over at the Apple //e that shares my desk with the computer I run PG on... (8700K/1080Ti)
____________
Historian by education, philosopher by inclination, contrarian by nature.


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Joined: 16 Feb 10
Posts: 702
ID: 55391
Credit: 544,880,366
RAC: 18,924
Discovered 2 mega primesFound 1 prime in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (5,090,406)Cullen LLR Gold: Earned 500,000 credits (776,297)ESP LLR Ruby: Earned 2,000,000 credits (2,160,301)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,056,207)PPS LLR Jade: Earned 10,000,000 credits (10,631,176)PSP LLR Ruby: Earned 2,000,000 credits (3,777,949)SoB LLR Sapphire: Earned 20,000,000 credits (20,233,229)SR5 LLR Turquoise: Earned 5,000,000 credits (5,978,312)SGS LLR Ruby: Earned 2,000,000 credits (2,932,085)TRP LLR Turquoise: Earned 5,000,000 credits (7,021,680)Woodall LLR Amethyst: Earned 1,000,000 credits (1,693,614)321 Sieve Turquoise: Earned 5,000,000 credits (9,475,479)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,571,178)Generalized Cullen/Woodall Sieve Emerald: Earned 50,000,000 credits (50,009,610)PPS Sieve Double Silver: Earned 200,000,000 credits (233,250,224)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Jade: Earned 10,000,000 credits (10,165,888)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,071,454)AP 26/27 Ruby: Earned 2,000,000 credits (2,544,827)GFN Sapphire: Earned 20,000,000 credits (48,678,064)PSA Double Bronze: Earned 100,000,000 credits (102,762,384)
Message 122669 - Posted: 19 Nov 2018 | 13:26:15 UTC - in response to Message 122538.
Last modified: 19 Nov 2018 | 13:28:11 UTC

Timing counts. How big was it and when?


https://primes.utm.edu/primes/page.php?id=76544

Just over 600k digits in 2005. Today, even a PPS prime would be bigger. I suppose you could put that prime down as the one that got me addicted.


2005? Well impressive for then! Moore's law has had many iterations since then so pc power was comparatively poor back then so fair play to you for getting it.


looks over at the Apple //e that shares my desk with the computer I run PG on... (8700K/1080Ti)

Apple iPad 2 As Fast As The Cray-2 Super Computer on LINPACK benchmark* (Phoronix, 2012)
* With recursive/parallel LU factorization on the iPad 2
- Cray-2 released 1985
- iPad 2 released 2011

TheCruelLogician
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Joined: 24 May 18
Posts: 109
ID: 1019105
Credit: 40,360,773
RAC: 5,111
Found 1 prime in the 2019 Tour de Primes321 LLR Bronze: Earned 10,000 credits (15,725)Cullen LLR Bronze: Earned 10,000 credits (34,191)ESP LLR Amethyst: Earned 1,000,000 credits (1,015,362)Generalized Cullen/Woodall LLR Gold: Earned 500,000 credits (651,908)PPS LLR Ruby: Earned 2,000,000 credits (2,619,556)PSP LLR Bronze: Earned 10,000 credits (25,763)SoB LLR Amethyst: Earned 1,000,000 credits (1,465,433)SR5 LLR Silver: Earned 100,000 credits (278,040)SGS LLR Silver: Earned 100,000 credits (339,744)TRP LLR Gold: Earned 500,000 credits (565,318)Woodall LLR Bronze: Earned 10,000 credits (18,231)321 Sieve Silver: Earned 100,000 credits (128,076)Generalized Cullen/Woodall Sieve Ruby: Earned 2,000,000 credits (2,366,124)PPS Sieve Jade: Earned 10,000,000 credits (13,834,584)AP 26/27 Jade: Earned 10,000,000 credits (10,188,360)GFN Turquoise: Earned 5,000,000 credits (6,814,357)
Message 122711 - Posted: 20 Nov 2018 | 1:18:13 UTC - in response to Message 122669.

I'd rather have the Cray than any Apple product that wasn't designed by Woz.
____________
Historian by education, philosopher by inclination, contrarian by nature.


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Posts: 702
ID: 55391
Credit: 544,880,366
RAC: 18,924
Discovered 2 mega primesFound 1 prime in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (5,090,406)Cullen LLR Gold: Earned 500,000 credits (776,297)ESP LLR Ruby: Earned 2,000,000 credits (2,160,301)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,056,207)PPS LLR Jade: Earned 10,000,000 credits (10,631,176)PSP LLR Ruby: Earned 2,000,000 credits (3,777,949)SoB LLR Sapphire: Earned 20,000,000 credits (20,233,229)SR5 LLR Turquoise: Earned 5,000,000 credits (5,978,312)SGS LLR Ruby: Earned 2,000,000 credits (2,932,085)TRP LLR Turquoise: Earned 5,000,000 credits (7,021,680)Woodall LLR Amethyst: Earned 1,000,000 credits (1,693,614)321 Sieve Turquoise: Earned 5,000,000 credits (9,475,479)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,571,178)Generalized Cullen/Woodall Sieve Emerald: Earned 50,000,000 credits (50,009,610)PPS Sieve Double Silver: Earned 200,000,000 credits (233,250,224)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Jade: Earned 10,000,000 credits (10,165,888)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,071,454)AP 26/27 Ruby: Earned 2,000,000 credits (2,544,827)GFN Sapphire: Earned 20,000,000 credits (48,678,064)PSA Double Bronze: Earned 100,000,000 credits (102,762,384)
Message 122716 - Posted: 20 Nov 2018 | 5:14:08 UTC - in response to Message 122711.

I'd rather have the Cray than any Apple product that wasn't designed by Woz.

Good luck fitting the Cray on your desk beside the 8700K/1080Ti

TheCruelLogician
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Joined: 24 May 18
Posts: 109
ID: 1019105
Credit: 40,360,773
RAC: 5,111
Found 1 prime in the 2019 Tour de Primes321 LLR Bronze: Earned 10,000 credits (15,725)Cullen LLR Bronze: Earned 10,000 credits (34,191)ESP LLR Amethyst: Earned 1,000,000 credits (1,015,362)Generalized Cullen/Woodall LLR Gold: Earned 500,000 credits (651,908)PPS LLR Ruby: Earned 2,000,000 credits (2,619,556)PSP LLR Bronze: Earned 10,000 credits (25,763)SoB LLR Amethyst: Earned 1,000,000 credits (1,465,433)SR5 LLR Silver: Earned 100,000 credits (278,040)SGS LLR Silver: Earned 100,000 credits (339,744)TRP LLR Gold: Earned 500,000 credits (565,318)Woodall LLR Bronze: Earned 10,000 credits (18,231)321 Sieve Silver: Earned 100,000 credits (128,076)Generalized Cullen/Woodall Sieve Ruby: Earned 2,000,000 credits (2,366,124)PPS Sieve Jade: Earned 10,000,000 credits (13,834,584)AP 26/27 Jade: Earned 10,000,000 credits (10,188,360)GFN Turquoise: Earned 5,000,000 credits (6,814,357)
Message 122758 - Posted: 20 Nov 2018 | 19:15:40 UTC - in response to Message 122716.

Plenty of space in this room.
____________
Historian by education, philosopher by inclination, contrarian by nature.


Profile Nicholas Peter Bamber
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Joined: 23 Dec 18
Posts: 53
ID: 1087751
Credit: 1,736,566
RAC: 753
321 LLR Silver: Earned 100,000 credits (105,572)Cullen LLR Silver: Earned 100,000 credits (159,131)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (159,927)PPS LLR Silver: Earned 100,000 credits (136,928)SGS LLR Silver: Earned 100,000 credits (102,937)Woodall LLR Silver: Earned 100,000 credits (205,147)321 Sieve Silver: Earned 100,000 credits (195,163)Generalized Cullen/Woodall Sieve Silver: Earned 100,000 credits (104,315)PPS Sieve Silver: Earned 100,000 credits (249,454)AP 26/27 Silver: Earned 100,000 credits (125,333)GFN Silver: Earned 100,000 credits (152,166)PSA Bronze: Earned 10,000 credits (40,493)
Message 124157 - Posted: 3 Jan 2019 | 0:33:19 UTC - in response to Message 122758.
Last modified: 3 Jan 2019 | 0:37:36 UTC

My favourite prime is 1327, because it has quite a large gap of 34 following it.

By the way my favourite number is 1001 because it is sphenic and palindromic. Still looking for the fabled sphenic prime though.

dukebg
Volunteer tester
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Joined: 21 Nov 17
Posts: 232
ID: 950482
Credit: 22,083,013
RAC: 5
Found 1 prime in the 2018 Tour de Primes321 LLR Gold: Earned 500,000 credits (506,942)Cullen LLR Gold: Earned 500,000 credits (500,523)ESP LLR Gold: Earned 500,000 credits (655,642)Generalized Cullen/Woodall LLR Gold: Earned 500,000 credits (539,100)PPS LLR Gold: Earned 500,000 credits (688,232)PSP LLR Gold: Earned 500,000 credits (561,629)SoB LLR Ruby: Earned 2,000,000 credits (3,659,676)SR5 LLR Gold: Earned 500,000 credits (505,810)SGS LLR Gold: Earned 500,000 credits (506,024)TRP LLR Gold: Earned 500,000 credits (963,625)Woodall LLR Gold: Earned 500,000 credits (506,044)321 Sieve Gold: Earned 500,000 credits (511,694)Generalized Cullen/Woodall Sieve Gold: Earned 500,000 credits (549,916)PPS Sieve Gold: Earned 500,000 credits (701,168)AP 26/27 Gold: Earned 500,000 credits (525,590)GFN Turquoise: Earned 5,000,000 credits (9,675,760)PSA Gold: Earned 500,000 credits (525,639)
Message 124171 - Posted: 3 Jan 2019 | 11:06:21 UTC - in response to Message 124157.
Last modified: 3 Jan 2019 | 11:06:43 UTC

Still looking for the fabled sphenic prime though.

Not sure there's a joke i'm missing, but sphenic numbers are composite by definition.

Profile Nicholas Peter Bamber
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Joined: 23 Dec 18
Posts: 53
ID: 1087751
Credit: 1,736,566
RAC: 753
321 LLR Silver: Earned 100,000 credits (105,572)Cullen LLR Silver: Earned 100,000 credits (159,131)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (159,927)PPS LLR Silver: Earned 100,000 credits (136,928)SGS LLR Silver: Earned 100,000 credits (102,937)Woodall LLR Silver: Earned 100,000 credits (205,147)321 Sieve Silver: Earned 100,000 credits (195,163)Generalized Cullen/Woodall Sieve Silver: Earned 100,000 credits (104,315)PPS Sieve Silver: Earned 100,000 credits (249,454)AP 26/27 Silver: Earned 100,000 credits (125,333)GFN Silver: Earned 100,000 credits (152,166)PSA Bronze: Earned 10,000 credits (40,493)
Message 124172 - Posted: 3 Jan 2019 | 11:12:45 UTC - in response to Message 124171.

Still looking for the fabled sphenic prime though.

Not sure there's a joke i'm missing, but sphenic numbers are composite by definition.


Yeah I have a fondness for oxymorons that sound more plausible on account of the obscurity of the words. "Sceptical omphalist" would be another example.

wolfemancs
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Joined: 25 Jun 09
Posts: 83
ID: 42483
Credit: 9,923,599
RAC: 0
321 LLR Silver: Earned 100,000 credits (113,597)Cullen LLR Silver: Earned 100,000 credits (224,304)ESP LLR Silver: Earned 100,000 credits (441,787)PPS LLR Silver: Earned 100,000 credits (117,225)PSP LLR Amethyst: Earned 1,000,000 credits (1,390,544)SoB LLR Amethyst: Earned 1,000,000 credits (1,966,668)SR5 LLR Silver: Earned 100,000 credits (157,374)SGS LLR Silver: Earned 100,000 credits (117,446)TRP LLR Silver: Earned 100,000 credits (237,230)Woodall LLR Silver: Earned 100,000 credits (309,305)321 Sieve Silver: Earned 100,000 credits (200,118)Cullen/Woodall Sieve (suspended) Bronze: Earned 10,000 credits (12,820)Generalized Cullen/Woodall Sieve Gold: Earned 500,000 credits (559,780)PPS Sieve Amethyst: Earned 1,000,000 credits (1,650,670)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,000,343)TRP Sieve (suspended) Gold: Earned 500,000 credits (528,122)AP 26/27 Gold: Earned 500,000 credits (700,724)GFN Silver: Earned 100,000 credits (195,536)
Message 124324 - Posted: 4 Jan 2019 | 22:59:33 UTC - in response to Message 124172.


Yeah I have a fondness for oxymorons that sound more plausible on account of the obscurity of the words. "Sceptical omphalist" would be another example.

If you have a fondness for sphenic numbers, the wikipedia page for them needs updating. They have the largest sphenic number known as of Jan of 2018, but there's a new biggest prime since then.

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Message boards : General discussion : Favourite Prime Number.

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