mersenneforum.org - View Single Post - Largest known prime p such that 6p-1 and 6p+1 are prime?

Batalov · 2016-04-02, 01:30

This is easy to make with a modified NewPgen.
There is a sieve mode for triple sets, but you need to change the multiplier to 6 in the code (then use mode).
It is likely that you can easily find a p with at least 10,000 or 20,000 digits.

The proof of course will not be a problem, because p will be a helper for 6p-1 and 6p+1 regardless of their form.

2016-04-02, 01:30	#2
Batalov "Serge" Mar 2008 Phi(4,2^7658614+1)/2 31·317 Posts	This is easy to make with a modified NewPgen. There is a sieve mode for triple sets, but you need to change the multiplier to 6 in the code (then use mode). It is likely that you can easily find a p with at least 10,000 or 20,000 digits. The proof of course will not be a problem, because p will be a helper for 6p-1 and 6p+1 regardless of their form.