20190624, 07:39  #12 
Sep 2002
Database er0rr
3339_{10} Posts 

20190624, 08:40  #13 
Sep 2002
Database er0rr
3339_{10} Posts 

20190624, 14:28  #14 
Apr 2019
315_{8} Posts 

20190625, 06:21  #15 
Sep 2002
Database er0rr
3^{2}·7·53 Posts 
M58133053441 has no factors below 2^81.
There is not much hope that this number can be LL/PRP'ed in the near future. Even is the software existed it would require a big iron machine to be tied up for decades. 
20190625, 08:08  #16 
Apr 2019
5·41 Posts 
Well, yeah to put things in perspective it has ~6.77x as many bits as F33, which is still out of reach.

20190625, 15:09  #17  
Einyen
Dec 2003
Denmark
B52_{16} Posts 
Quote:


20190625, 15:43  #18 
Feb 2017
Nowhere
2^{2}·839 Posts 

20190625, 16:24  #19  
Sep 2002
Database er0rr
3^{2}×7×53 Posts 
Quote:
Code:
p=607;s=Mod(4,p);for(k=1,3,s=s^22;print(s)) Mod(14, 607) Mod(194, 607) Mod(0, 607) It also works for say 8191, but that is the value of a Mersenne prime. Last fiddled with by paulunderwood on 20190625 at 16:25 

20190625, 16:29  #20 
Sep 2002
Database er0rr
3339_{10} Posts 

20190625, 16:57  #21 
Sep 2002
Database er0rr
6413_{8} Posts 
Code:
p=58133053441;e=lift(Mod(2,p^21)^p);Mod(Mod(1,p)*x,x^24*x+1)^(e) Mod(Mod(1, 58133053441), x^2  4*x + 1) 
20190625, 18:37  #22 
Sep 2002
Database er0rr
3^{2}×7×53 Posts 
Out of curiosity, how long would it take to test M665972737 on an average AVX2 desktop?
Code:
? p=665972737;e=lift(Mod(2,p^21)^p)%p;Mod(Mod(1,p)*x,x^24*x+1)^(e) Mod(Mod(1, 665972737)*x, x^2  4*x + 1) Additionally: Code:
? p=607;e=lift(Mod(2,p^21)^p)%p;lift(lift(Mod(Mod(1,p)*x,x^24*x+1)^(e))) 606*x + 4 ? p=60651732991;e=lift(Mod(2,p^21)^p)%p;lift(lift(Mod(Mod(1,p)*x,x^24*x+1)^(e))) 60651732990*x + 4 Last fiddled with by paulunderwood on 20190625 at 19:18 
Thread Tools  
Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
The "one billion minus 999,994,000" digits prime number  a1call  Miscellaneous Math  179  20151112 14:59 
question range 1 billion to 2 billion?  Unregistered  Information & Answers  7  20100812 06:25 
Billion digit prime?  lfm  Operation Billion Digits  6  20090107 01:17 
Factoring a 617digit number?  Shakaru  Factoring  2  20050223 19:22 
10,000,000 digit number  Unregistered  Software  3  20040303 19:20 