Mersenneplustwo Google Group

Re: New Mersenne Prime (and more fish!)

bear...@gmail.com (bearnol) — Sat, 23 Feb 2013 09:46:32 UT

Desmond:gmp-tf james$ time ./mpptf16.gmp* -P57885161 -S1 -T1000000000000
61 7061989643
866126853 100271784664656667
999999900000
real 25572m20.830s
user 6893m50.378s
sys 20m1.960s

New Mersenne Prime (and more fish!)

bear...@gmail.com (bearnol) — Tue, 05 Feb 2013 14:58:25 UT

Congratulations to the Great Internet Mersenne Prime Search, who today
released their latest Mersenne Prime discovery, M57885161.
I have already found a couple of factors of (M+2)57885161 (using 2kp
trial-factoring algorithm) :
Desmond:gmp-tf james$ time ./mpptf16.gmp* -P57885161 -S1 -T1000000000000

38-digit factor of (M+2)216091 by ECM by yoyo@home!

bear...@gmail.com (bearnol) — Mon, 21 Nov 2011 13:13:19 UT

Congratulations! (and thanks!) to user shauge of yoyo@home,
who today found the following 38-digit factor:
107041033330938851369193320895 53661899
[link]
? (2^216091+1)%10704103333093885 136919332089553661899
%1 = 0
Desmond:~ james$ time echo '10704103333093885136919332089 553661899' |

Another data point for WEP... (14-digit factor)

bear...@gmail.com (bearnol) — Fri, 14 Oct 2011 20:03:27 UT

P4253 T5313294 residue=1079770259597969062464 0873804907 base=245313293
factor=37876820097827

Re: 23-digit factor of (M+2)32582657 by ECM by mprime255

bear...@gmail.com (bearnol) — Tue, 15 Mar 2011 11:22:31 UT

... with thanks to ATH (on mersenneforum)!
J

Re:23-digit factor of (M+2)32582657 by ECM by mprime255

bear...@gmail.com (bearnol) — Tue, 15 Mar 2011 10:54:45 UT

Desmond:~ james$ gp
GP/PARI CALCULATOR Version 2.3.5 (released)
i386 running darwin (ix86 kernel) 32-bit version
compiled: Mar 1 2010, gcc-4.0.1 (Apple Inc. build 5490)
(readline v6.1 enabled, extended help available)

Re: 45-digit factor of (M+2)23209 by ECM by yoyo@home!

bear...@gmail.com (bearnol) — Tue, 15 Mar 2011 10:52:40 UT

All current cofactors composite

bear...@gmail.com (bearnol) — Sun, 13 Feb 2011 02:43:35 UT

[Thu Jul 23 12:37:11 2009]
2^859433+1/known_factors is not prime. RES64: 1A2DFA00169CA483. Wd9:
A6494E21,00000000
Known factors used for PRP test were:
3,1718867,268143097,2297335424 65352507,420207925254975651347 3
[Thu Jul 23 17:57:03 2009]
2^1257787+1/known_factors is not prime. RES64: 073F2401A07156BC. Wd9:

23-digit factor of (M+2)32582657 by ECM by mprime255

bear...@gmail.com (bearnol) — Mon, 06 Dec 2010 11:42:32 UT

[Mon Dec 6 01:56:07 2010]
ECM found a factor in curve #51, stage #2
Sigma=1483035008190041, B1=11000, B2=1100000.
2^32582657+1 has a factor: 13526662966442476828963

Desmond:math james$ gp
GP/PARI CALCULATOR Version 2.3.5 (released)
i386 running darwin (ix86 kernel) 32-bit version

Re: 45-digit factor of (M+2)23209 by ECM by yoyo@home!

bear...@gmail.com (bearnol) — Mon, 06 Dec 2010 11:09:59 UT

Details of the lucky curve:

Desmond:~ james$ /Applications/sage/sage ; exit;
------------------------------ ------------------------------ ----------
------------------------------ ------------------------------ ----------
sage: def FindGroupOrder(p,s):
....: K = GF(p)
....: v = K(4*s)

45-digit factor of (M+2)23209 by ECM by yoyo@home!

bear...@gmail.com (bearnol) — Sun, 05 Dec 2010 09:07:42 UT

Congratulations! (and thanks!) to user [P3D] Crashtest of yoyo@home,
who today found the following 45-digit factor:

128201605404515119370139202836 664201936768339

[link]
[P3D] Crashtest

random seed = 1292328207
iter = 1000
Bmax = 2000
error_shift = 1000

ERRATUM: repeated factors of (M+2)43112609

bear...@gmail.com (bearnol) — Wed, 28 Apr 2010 11:49:23 UT

Two previously cited factors of (M+2)43112609 were in fact composite,
and combinations of other, already discovered, smaller factors. [The
main website page _should_ now have been corrected, as of today,
currently showing only 5 distinct factors of (M+2)43112609, rather
than 7].
Many thanks to Karim Belabas and Robert Holmes, on the PARI-dev list

Two new factors of (M+2)25964951 by P-1 by mprime255-OSX

bear...@gmail.com (bearnol) — Tue, 06 Apr 2010 23:09:14 UT

[Tue Apr 6 23:07:19 2010]
P-1 found a factor in stage #2, B1=250000, B2=25000000.
2^25964951+1 has a factor:
275101007985619313911021416426 482301936417228578241363
Desmond:Desktop james$ gp
GP/PARI CALCULATOR Version 2.3.5 (released)
i386 running darwin (ix86 kernel) 32-bit version

Re: Another factor of (M+2)9941 by ECMNet - update

bear...@gmail.com (bearnol) — Mon, 08 Mar 2010 15:15:48 UT

sage: p=5349043632739184474732667264 1668581779
sage: FindGroupOrder(p,883077734)
2^2 * 3^3 * 19 * 1723 * 11003 * 12781 * 45491 * 66643 * 400643 *
88572719

Re: Factor of (M+2)9941 by ECMNet - update

bear...@gmail.com (bearnol) — Mon, 08 Mar 2010 15:12:45 UT

sage: p=2937581555281521885883181942 758904369
sage: FindGroupOrder(p,1953495724)
2^3 * 3^2 * 31 * 53 * 239 * 271 * 61751 * 106693 * 176849 * 463579 *
709817