Contribution and Reservation

ECM, P-1, P+1

Look for prime factors by GMP-ECM first. Refer to the section "Efforts by ECM". Not only ECM but also P-1/P+1 may be helpful.

NFS

Use GGNFS and/or Msieve if GMP-ECM cannot find a factor. The SNFS difficulty of this composite number is 234.81-digit and the GNFS difficulty is 162.07-digit. GNFS may be faster than SNFS. It will take about 264 CPU-days to factor this composite number on 64-bit Opteron-2600MHz.

Steps of GNFS

1. Put factMsieve.pl to which $GGNFS_BIN_PATH and $NUM_CPUS were modified properly in the working directory 71111_233.
2. Put the following composite number file 71111_233.n in there too.
3. And then, run "perl factMsieve.pl 71111_233".

n: 1175096545584055105250951509988618729791632937145951352860247520445895686478618432283375088249068144836193263705482510866613839205023692202682641801126636599436267

Steps of SNFS

1. Put factMsieve.pl to which $GGNFS_BIN_PATH and $NUM_CPUS were modified properly in the working directory 71111_233.
2. Put the following polynomial file 71111_233.poly in there too.
3. And then, run "perl factMsieve.pl 71111_233".

n: 1175096545584055105250951509988618729791632937145951352860247520445895686478618432283375088249068144836193263705482510866613839205023692202682641801126636599436267
m: 200000000000000000000000000000000000000
deg: 6
c6: 100000
c0: -1
skew: 0.15
type: snfs
lss: 1
rlim: 57000000
alim: 57000000
lpbr: 30
lpba: 30
mfbr: 60
mfba: 60
rlambda: 2.7
alambda: 2.7

These parameters were not fully adjusted. The approximate expressions which were used for making the parameters are: deg=expt<=105?4:expt<=210?5:6 or expt<=144?4:6; d=log10(c[deg])+deg*log10(m)[digits]; time=10^(d/30-4)[hours]; skew=|c0/c[deg]|^(1/deg); rlim=round(7*10^(d/60+3)); lpbr=floor(d/25+21); mfbr=floor(d/8+31); rlambda=floor(d/25+18)/10;

See also

• How to contribute your factors

The efforts by ECM to find small factors of this 163-digit composite number so far are as follows. According to the reports, unknown prime factors of this composite number are probably 40-digit or more. Please report your efforts by ECM. (Anonymous reports are not acceptable)