PrimeGrid Badges

For discussion about badges, please see this thread.

PrimeGrid awards a variety of badges for various accomplishments.

Badge footnotes:
1) "Counter" badges. If you fulfill the badge requirements more than once, the badge will include a number showing how many times you've achieved that requirement. The counter goes up to 99.
2) One-of-a-kind badges and can only be earned by at most one person. For TdP badges, one can be earned each year.
3) One-of-a-kind badges that have already been awarded.
4) Although we're not explicitly searching for AP28, the software is capable of finding an AP28 and we may find an AP28 while searching for an AP27.
5) Although we're not currently searching for a GFN-23, we may do so in the future.

Credit Badges:

These badges are awarded in individual sub-projects for earning specific amounts of credit. The color and shape of the badge indicates the amount of credit needed to earn the badge. These are the credit thresholds for each badge. The text within the badge specifies the sub-project. The PPS-LLR subproject is used as an example:

bronze 10K
silver 100K
gold 500K
amethyst 1M
ruby 2M
turquoise 5M
jade 10M
sapphire 20M
emerald 50M
double bronze 100M
double silver 200M
double gold 500M
double amethyst 1B
double ruby 2B
double turquoise 5B
double jade 10B
double sapphire 20B
double emerald 50B

These are the different subproject badges, using the bronze/10K badge as an example:

321 LLR
Cullen LLR
ESP LLR (Extended Sierpinski Problem)
GCW LLR (Generalized Cullen Woodall)
PPS LLR (Includes PPS and PPSE, and PPS-Mega (Proth Prime Search [Extended | Mega]))
PSP LLR (Prime Sierpinski Problem)
SoB LLR (Seventeen or Bust, aka The Sierpinski Problem)
SR5 LLR (Sierpinski/Riesel Base 5)
SGS LLR (Sophie Germain Search)
TPS LLR (Twin Prime Search) (retired)
TRP LLR (The Riesel Problem)
Woodall LLR
321 Sieve (suspended)
Cullen Woodall Sieve (suspended)
Generalized Cullen Woodall Sieve (suspended)
PPS Sieve
ESP/PSP/SoB Sieve (Previously called the PSP Sieve) (suspended)
TRP Sieve (suspended)
AP27 (Arithmetic Progression of primes - 27)
Genefer, aka GFN -- Generalized Fermat Number prime search (including N=15 through N=22)
WW -- Wieferich and Wall-Sun-Sun
PSA (Project Staging Area): PRPNet and Manual Sieving


Tour de Primes badges:

Separate badges are awarded for each year's Tour de Primes (2018 badges are shown):

Found the most primes during TdP²
Found the largest prime during TdP (starting in 2016)²
Highest cumulative prime score during TdP²
Found the most primes during the TdP Mountain stage²
Found a prime during TdP (starting in 2018)¹
Found a mega prime during TdP (starting in 2018)¹
Found a prime during the TdP Mountain stage (starting in 2018)¹
Found a mega prime during the TdP Mountain stage (starting in 2018)¹


Significant discovery badges:

These badges are awarded for being the discoverer of a significant prime or primes:

Awarded for finding an AP26¹
Awarded for finding an AP27¹
Awarded for finding an AP28^1,4
Awarded for finding a mega prime¹
Awarded for finding a prime in one of the conjecture projects, and thereby eliminating a 'k'. The conjecture projects are SoB, PSP, ESP, TRP, and SR5.¹
Awarded for finding a twin prime¹
Awarded for finding a Sophie Germain prime pair¹
Awarded for finding a Fermat divisor. Projects that can find a prime which might be a Fermat divisor are PPS-DIV LLR, PPSE LLR, PPS LLR, PPS-MEGA LLR, 321 LLR (+1 tasks only), Cullen LLR, ESP LLR, PSP LLR, SoB LLR, and on PRPNet the 27 (+1 tasks only) and 121 (+1 tasks only) ports.¹
Awarded for finding a Wall-Sun-Sun prime¹
Awarded for finding a Wieferich prime¹

World First Badges

These badges are awarded to honor the discoverer of the very first example of a particular type of prime (or group of primes.) Only one person can earn each of these badges.

Some of the World First badges have already been earned. Many have yet to be earned. You could be the one.

Badges are awarded for being the first to discover:

Arithmetic Progression of primes of length N:
AP26 [AF>HFR>RR] Jim PROFIT 2010-04-12 20:03:44 UTC³
AP27 Robish 2019-09-23 06:25:41 UTC³
AP28 (available)^2,4

Generalized Fermat primes b^2^N+1:
GFN-19 Michael Goetz 2011-11-19 14:03:58³
GFN-20 Van Zimmerman 2017-08-29 14:15:23³
GFN-21 (available)²
GFN-22 (available)²
GFN-23 (available)^2,5

Generalized Cullen primes of base N:
Generalized Cullen base 13 (available)²
Generalized Cullen base 25 tng* 2019-09-02 03:39:59³
Generalized Cullen base 29 (available)²
Generalized Cullen base 41 zunewantan 2018-03-11 23:54:40³
Generalized Cullen base 47 (available)²
Generalized Cullen base 49 (available)²
Generalized Cullen base 53 zunewantan 2017-08-21 14:51:43³
Generalized Cullen base 55 (available)²
Generalized Cullen base 68 [SG]Puzzle-Peter 2010-05-25 18:16:49³
Generalized Cullen base 69 (available)²
Generalized Cullen base 73 (available)²
Generalized Cullen base 79 XAVER 2016-10-08 21:01:14³
Generalized Cullen base 101 (available)²
Generalized Cullen base 109 (available)²
Generalized Cullen base 113 MiHost 2012-01-29 08:10:03³
Generalized Cullen base 116 Scott Brown 2018-01-18 19:39:18³
Generalized Cullen base 121 (available)²

Generalized Woodall primes of base N:
Generalized Woodall base 13 Lennart SM5YMT 2009-12-07 08:32:59³
Generalized Woodall base 43 MiHost 2011-02-24 18:27:31³
Generalized Woodall base 104 Sideshow_Larry 2010-05-26 19:25:30³
Generalized Woodall base 121 unconnected 2010-05-19 04:45:00³

WW primes:
Wall-Sun-Sun