New Mersenne Prime (and more fish!)

[bearnol]

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

61 7061989643

866126853 100271784664656667

...

Last login: Tue Feb  5 13:56:47 on ttys010

Desmond:~ james$ time (echo '7061989643' | bc | tr -d '\\\n' ; echo) | ~/math/gmp-ecpp/atkin243.gmp* -q

random seed = 1360725035

error_shift = 1000

precision = 10000

Bmax = 2000

Dmax = 20

D = -7, dT = 1, T = 1 3375 

j = 7061986268

N[0] = 7061989643

a = 4656038184

b = 4467214805

m = 7062041072

q = 19190329

P = (3170681539, 4387835881)

P1 = (0, 1)

P2 = (1819879225, 1141990110)

proven prime

real 0m24.839s

user 0m5.922s

sys 0m0.072s

Desmond:~ james$ time (echo '100271784664656667' | bc | tr -d '\\\n' ; echo) | ~/math/gmp-ecpp/atkin243.gmp* -q

random seed = 1361058873

error_shift = 1000

precision = 10000

Bmax = 2000

Dmax = 20

N[0] = 100271784664656667

a = 0

b = 50613458890537454

m = 100271785219847479

q = 387149749883581

P = (2666464030, 70361538638429924)

P1 = (0, 1)

P2 = (63147904785392316, 63075998254226175)

Bmax = 2000

Dmax = 20

N[1] = 387149749883581

a = 0

b = 77555020968862

m = 387149711986828

q = 226668449641

P = (1567272549, 215779858067624)

P1 = (0, 1)

P2 = (354451618066428, 290596069764685)

Bmax = 2000

Dmax = 20

N[2] = 226668449641

a = 0

b = 26832972931

m = 226669327083

q = 25185480787

P = (3354180171, 130866187884)

P1 = (0, 1)

P2 = (92088830773, 75712168391)

Bmax = 2000

Dmax = 20

N[3] = 25185480787

a = 0

b = 10415220027

m = 25185188307

q = 259339

P = (2940614821, 24860637254)

P1 = (0, 1)

P2 = (17694286960, 14542020395)

proven prime

real 0m2.298s

user 0m0.607s

sys 0m0.009s

Desmond:~ james$ 

[bearnol]

Desmond:gmp-tf james$ time ./mpptf16.gmp* -P57885161 -S1 -T1000000000000

61 7061989643

866126853 100271784664656667

999999900000

real 25572m20.830s

user 6893m50.378s

sys 20m1.960s

[bearnol]

[Sun Sep 22 04:58:13 2013]

2^57885161+1/3/7061989643/100271784664656667 is not prime.  RES64: 2A1A20A00C4BC16D. Wd9: 58BF09CF,00000000