Monday, August 14, 2006

135 digit mersenne residual

Ken's blog: More fun with factorization

Giving up for now of factoring the 135-digit leftover from M2281, taken to B1=94938494 via the auto-increment "-I 1" option and later runs at B2=3178397272066 (for 1 GB memory usage) with GMP ECM. The last command line was ecm/bin/ecm -one -c 0 -one -I 1 93168596 3e12 < 135-digit | tee 135-digit.8.log

Run 192 out of 0:
Using B1=94938494, B2=3178397272066, polynomial Dickson(30), sigma=2613019741
Step 1 took 503220ms
Step 2 took 446100ms

lf is the largest factor of m-1 : lf(m) = x=factor(m-1); y=matsize(x); x[y[1],1]

lf(lf(2^2281-1))

Hopefully gettable by GNFS in the future.

Turning attention to 2^1101+1.

No comments :