POST LOTS AND LOTS OF PRIMES HERE - Page 162

amphoria · 2016-03-22, 19:17

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)

pepi37 · 2016-03-22, 19:33

Quote:

Originally Posted by amphoria

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)

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

amphoria · 2016-03-25, 19:23

Quote:

Originally Posted by pepi37

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

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).

pepi37 · 2016-03-25, 20:35

Quote:

Originally Posted by amphoria

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).

So in whole world situation for buses is same: you wait it for ages ( or at least 10 days)

pinhodecarlos · 2016-04-09, 06:35

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

VBCurtis · 2016-04-14, 01:43

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

paulunderwood · 2016-04-14, 10:17

Quote:

Originally Posted by VBCurtis

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

Congrats

PawnProver44 · 2016-04-15, 06:47

Quote:

Originally Posted by paulunderwood

Congrats

: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)

paulunderwood · 2016-04-15, 11:52

Quote:

Originally Posted by PawnProver44

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

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

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

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

amphoria · 2016-04-22, 12:53

4161*2^2240358-1 (674419 digits)

amphoria · 2016-04-26, 11:29

4161*2^2326875-1 (700463 digits)

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2016-03-22, 19:17	#1772
amphoria "Dave" Sep 2005 UK 101011011000₂ Posts	You wait around for ages for a prime ... and then 3 come along at once! 40632^2309263-1 (695162 digits) 40632^2310187-1 (695440 digits) 4063*2^2313843-1 (696540 digits)

2016-04-09, 06:35	#1776
pinhodecarlos "Carlos Pinho" Oct 2011 Milton Keynes, UK 3·17·97 Posts	143*2^2007888-1 is prime! (604437 decimal digits) Time : 1351.837 sec. from SMD.

2016-04-14, 01:43	#1777
VBCurtis "Curtis" Feb 2005 Riverside, CA 2²·1,217 Posts	13*2^3527315-1. 1061829 digits. That's 3 over 3M for k=13, and 5 over 2M!

2016-04-22, 12:53	#1781
amphoria "Dave" Sep 2005 UK 2³·347 Posts	4161*2^2240358-1 (674419 digits)

2016-04-26, 11:29	#1782
amphoria "Dave" Sep 2005 UK AD8₁₆ Posts	4161*2^2326875-1 (700463 digits)