You wait around for ages for a prime ... and then 3 come along at once!

4063*2^2309263-1 (695162 digits)
4063*2^2310187-1 (695440 digits)
4063*2^2313843-1 (696540 digits)

[QUOTE=amphoria;429803]You wait around for ages for a prime ... and then 3 come along at once!

4063*2^2309263-1 (695162 digits)
4063*2^2310187-1 (695440 digits)
4063*2^2313843-1 (696540 digits)[/QUOTE]

This is closest triplet of primes in row I know!
Congratulations!
And in average you wait about 10 days between primes, not ages :)

[QUOTE=pepi37;429806]This is closest triplet of primes in row I know!
Congratulations!
And in average you wait about 10 days between primes, not ages :)[/QUOTE]

The reference was intended to be for k=4063 where the last prime was for n=738843, although in reality I was just stealing the saying about buses (at least in the UK).

[QUOTE=amphoria;430050]The reference was intended to be for k=4063 where the last prime was for n=738843, although in reality I was just stealing the saying about buses (at least in the UK).[/QUOTE]
So in whole world situation for buses is same: you wait it for ages ( or at least 10 days) :smile:

143*2^2007888-1 is prime! (604437 decimal digits) Time : 1351.837 sec. from SMD.

13*2[SUP]3527315[/SUP]-1. 1061829 digits.
That's 3 over 3M for k=13, and 5 over 2M!

[QUOTE=VBCurtis;431522]13*2[SUP]3527315[/SUP]-1. 1061829 digits.
That's 3 over 3M for k=13, and 5 over 2M![/QUOTE]

Congrats :banana:

[QUOTE=paulunderwood;431542]Congrats :banana:[/QUOTE]

:banana:

:chicken:

:rainbow:

:fireworks:

How do you do these things?

How to find a prime like the one above except 52*3^n+/-1, or some other k. b = 2 to 16 (the bases)

[QUOTE=PawnProver44;431612]
How to find a prime like the one above except 52*3^n+/-1, or some other k. b = 2 to 16 (the bases)[/QUOTE]

Efficiently, you sieve, then you use LLR. I am not sure about which sieve to use :smile:

If you are bent on finding a mega-prime, start with testing those.

(mods please feel free to detach this sub-thread)

4161*2^2240358-1 (674419 digits)

4161*2^2326875-1 (700463 digits)