## Other

drummers-lowrise

Message boards : General discussion : Largest prime in complete list of primes

 Subscribe SortOldest firstNewest firstHighest rated posts first
Author Message
profBolz

Joined: 8 Oct 15
Posts: 2
ID: 424137
Credit: 23,094,717
RAC: 0

Message 89766 - Posted: 16 Nov 2015 | 13:51:29 UTC

Do you know the largest prime for which every prime smaller then this is known?
In other words: What is the largest prime if you have a complete list of primes?

Michael Goetz
Volunteer moderator

Joined: 21 Jan 10
Posts: 13513
ID: 53948
Credit: 236,922,854
RAC: 0

Message 89767 - Posted: 16 Nov 2015 | 14:27:41 UTC - in response to Message 89766.

Do you know the largest prime for which every prime smaller then this is known?
In other words: What is the largest prime if you have a complete list of primes?

That's a difficult question to answer.

Please see https://primes.utm.edu/notes/faq/LongestList.html for an explanation.

If you want to see a list of the 50 million smallest primes, it's here: https://primes.utm.edu/lists/small/millions/.

Want more? Supposedly this links to the first 37 billion primes. I haven't counted. http://www.primos.mat.br/indexen.html

Lastly, according to https://en.wikipedia.org/wiki/List_of_prime_numbers, the Goldbach Conjecture verification project has computed all primes below 4*10^18. That's nearly 10^17 primes, but they were only computed, and not stored.
____________
My lucky number is 75898524288+1

Message boards : General discussion : Largest prime in complete list of primes