20190626, 11:26  #12 
Sep 2003
3·863 Posts 

20190626, 13:37  #13  
Sep 2003
3·863 Posts 
Quote:
As you mentioned, with mfaktc.exe it suffices to set the DWAGSTAFF flag to make it find Wagstaff factors instead of Mersenne factors. So maybe that will work with mmff.exe as well, and it might be possible to find a largeish factor for W(W(43)). Edit: from looking at the source code, it's not that simple. Last fiddled with by GP2 on 20190626 at 14:14 

20190626, 17:07  #14  
"Dylan"
Mar 2017
1122_{8} Posts 
Quote:
Code:
ABCD 2*$a*((2^p+1)/3)+1 (Of course, more work is needed to get the sieve to work.) 

20190626, 17:41  #15  
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36
E62_{16} Posts 
Quote:
Code:
n Phi_n(2) known factors of (2^Phi_n(2)+1)/3 Last fiddled with by sweety439 on 20190626 at 17:46 

20190626, 18:39  #16 
"Robert Gerbicz"
Oct 2005
Hungary
1615_{10} Posts 
The common generalization could be:
Code:
a(n)=polcyclo(h*n,2) for fixed h>0 integer. For h=2 a(a(p))=W(W(p)) if p and W(p)=(2^p+1)/3 is prime. And you can see this for h>2 also. Or you can even drop the n=p requirement (ofcourse in this case a(n)!=M(n) for h=1 etc.), note that we can see a(n)=prime or a(a(n))=prime for composite n values also. 
20190626, 19:45  #17  
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36
2·7·263 Posts 
Quote:
However, there are no known n such that Phi(n,2) is composite but Phi(Phi(n,2),2) is prime, also no known n such that Phi(n,2) is composite but Phi(2*Phi(n,2),2) is prime Last fiddled with by sweety439 on 20190626 at 19:51 

20190626, 19:58  #18 
"Robert Gerbicz"
Oct 2005
Hungary
64F_{16} Posts 

20190626, 21:37  #19 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
3·7·479 Posts 
Shhhhhh.... How dare you! You are arguing with the inventor of the Double Wagstaff primes. No one thought of that before, and now someone finally has.
{/sarcasm} 
20190627, 01:56  #20  
"Mark"
Apr 2003
Between here and the
3×23×101 Posts 
Quote:


20190627, 02:38  #21 
Jul 2003
7×89 Posts 
hi,
mmff does not (yet) run with nvidia turing cards 
20190627, 04:13  #22  
"Dylan"
Mar 2017
2·3^{3}·11 Posts 
Quote:
Exponents 31, 61, 89, 107, 127 for double Mersennes and Exponents <= 223 for Fermat numbers. Largest bit level it can test depends on the exponent (see lines 356455 of mfaktc.c in the source of mmff). 

Thread Tools  
Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Status of Wagstaff testing? and testing Mersenne primes for Wagstaffness  GP2  Wagstaff PRP Search  414  20201227 08:11 
Large gaps between Wagstaff prime exponents  Bobby Jacobs  Wagstaff PRP Search  2  20190303 19:37 
Statistical odds for prime in Wagstaff vs Mersenne  diep  Math  27  20100113 20:18 
30th Wagstaff prime  T.Rex  Math  0  20070904 07:10 
Silverman & Wagstaff on Joint Distribution of Ultimate and Penultimate Prime Factors  wblipp  Math  12  20060402 18:40 