Will Edgington wrote:
>
> P-1 on P727 with B1=30, B2=1
> P727 stage 1 complete. 116 transforms. Time: 0.018 sec.
>(4659194 clocks)
> Stage 1 GCD complete. Time: 0.001 sec. (164887 clocks)
> P727 has a factor: 11633
>
> This meets all the criteria too....
> 1) 11633 is PRIME.
> 2) 2kp+1 = 2*(8)*727+1 = 11633
> 3) 8n+1 = 8*(1454)+1 = 11633
> 4) 2^p (mod n) = 2^727 (mod 11633) = 1
>
>11633 divides M1454 where 1454 = 2*727, but 11633 does not
>divide M727. Your #4 calculation has a bug, probably a
>rounding error; the correct result is 11631.
Well, I went back and did it by hand!! You're right about #4...
BTW, George wrote that what I got was a result of a parsing
error on the part of Prime95 (it did 2^727+1, not 2^727-1).
R = 1
727 = 1011010111
E=727 D=1 R= 2 A= 4
E=363 D=1 R= 8 A= 16
E=181 D=1 R= 128 A= 256
E= 90 D=0 R= 128 A= 7371
E= 45 D=1 R= 1215 A= 5531
E= 22 D=0 R= 1215 A= 8804
E= 11 D=1 R= 6133 A=11370
E= 5 D=1 R= 4008 A=11004
E= 2 D=0 R= 4008 A= 119
E= 1 D=1 R=11632 A= 2528
E= 0 *11632*
Eric
_________________________________________________________________
Unsubscribe & list info -- http://www.scruz.net/~luke/signup.htm
Mersenne Prime FAQ -- http://www.tasam.com/~lrwiman/FAQ-mers
