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Forum: Wagstaff PRP Search 2019-06-27, 15:06
Replies: 28
Views: 8,619
Posted By GP2
I'm not the author, but I'm looking at the source...

I'm not the author, but I'm looking at the source code. The code special-cases each of the exponents 31, 61, 89,107, 127 for Mersenne, plus a bunch of specific Fermat exponents. Wagstaff shares the...
Forum: Wagstaff PRP Search 2019-06-26, 13:37
Replies: 28
Views: 8,619
Posted By GP2
The Double Mersenne Prime Search...

The Double Mersenne Prime Search (http://www.doublemersennes.org/download.php) uses a program called mmff.exe, which is derived from mfaktc.exe

As you mentioned, with mfaktc.exe it suffices to set...
Forum: Wagstaff PRP Search 2019-06-26, 11:26
Replies: 28
Views: 8,619
Posted By GP2
Yes. The smallest Wagstaff number that is not...

Yes. The smallest Wagstaff number that is not fully factored has exponent 1063.
Forum: Wagstaff PRP Search 2019-06-26, 11:20
Replies: 28
Views: 8,619
Posted By GP2
All Wagstaff factors are 2*k*p + 1 for some k,...

All Wagstaff factors are 2*k*p + 1 for some k, just like with Mersenne. And k is small enough for those factors that you could quickly find them even with a dumb Python script.
Forum: Wagstaff PRP Search 2019-06-26, 03:36
Replies: 28
Views: 8,619
Posted By GP2
W(W(31)) also has a factor. Here's what we have...

W(W(31)) also has a factor. Here's what we have so far:


3 3 prime
5 11 prime
7 43 prime
11 683 ...
Forum: Wagstaff PRP Search 2019-06-25, 23:15
Replies: 28
Views: 8,619
Posted By GP2
There are no double Wagstaff primes for p ≤ 23....

There are no double Wagstaff primes for p ≤ 23. All of these have known factors. For higher p I know of no PRP tests or even the most basic factoring attempts.


3 3 prime
5 11 ...
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