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Forum: Operazione Doppi Mersennes 2012-09-27, 18:36
Replies: 284
Views: 57,029
Posted By gd_barnes
That all depends on whether you want to find a...

That all depends on whether you want to find a world record prime of the form 2*k*M43112609+1 or find a factor of MM43112609. It would be very cool to find a world record prime that is not a...
Forum: Operazione Doppi Mersennes 2012-09-25, 09:42
Replies: 284
Views: 57,029
Posted By gd_barnes
Ah, I get it now. k==(0 or 1 mod 4) is a...

Ah, I get it now. k==(0 or 1 mod 4) is a necessary requirement for a factor of MM43112609. It is not a necessary requirement for the form 2*k*M43112609+1 to be prime.

Based on this, can anyone...
Forum: Operazione Doppi Mersennes 2012-09-25, 04:35
Replies: 284
Views: 57,029
Posted By gd_barnes
Can you explain why factors of MMp of the form...

Can you explain why factors of MMp of the form q=2k*Mp+1 must be k=0,1 (mod 4) where Mp=M43112609 ?

I personally did some trial factoring on all k<=50 and could find no factor < 10M for k=30. ...
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