Contribution and Reservation

(64·10²⁶⁵-1)/9 =: 7(1)₂₆₅_<266>; = 7379339483_<10> · 36365271671_<11> · [264992228751521038868743541998557393119856588387281065504185858978808271283975560856597951973762743008304012860757952849075905675734861746803433374953624406144031785972315079874307161896806425492778664705548670297208732477057615923901675662176227_<246>] SUBMIT/RESERVE

Status

Expression:	(64·10²⁶⁵-1)/9
Composite Factor:	264992228751521038868743541998557393119856588387281065504185 858978808271283975560856597951973762743008304012860757952849 075905675734861746803433374953624406144031785972315079874307 161896806425492778664705548670297208732477057615923901675662 176227 (246-digit)
Status:	Not factored. Not reserved. You can submit its factors or reserve it for submitting in the future.

How to factor it

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.

SNFS

Use GGNFS and/or Msieve if GMP-ECM cannot find a factor. The SNFS difficulty of this composite number is 266.81-digit and the GNFS difficulty is 245.42-digit. SNFS must be faster than GNFS. It will take about 3261 CPU-days to factor this composite number on 64-bit Opteron-2600MHz.

Put factMsieve.pl to which $GGNFS_BIN_PATH and $NUM_CPUS were modified properly in the working directory 71111_265.
Put the following polynomial file 71111_265.poly in there too.
And then, run "perl factMsieve.pl 71111_265".

71111_265.poly ^*1

n: 264992228751521038868743541998557393119856588387281065504185858978808271283975560856597951973762743008304012860757952849075905675734861746803433374953624406144031785972315079874307161896806425492778664705548670297208732477057615923901675662176227
m: 200000000000000000000000000000000000000000000
deg: 6
c6: 10
c0: -1
skew: 0.68
type: snfs
lss: 1
rlim: 196000000
alim: 196000000
lpbr: 31
lpba: 31
mfbr: 64
mfba: 64
rlambda: 2.8
alambda: 2.8

*1 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;

Efforts by ECM

The efforts by ECM to find small factors of this 246-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)

Level	B1	Reported runs Total / Required runs (Required runs for lower level)	Name
40	3e6	450	Serge Batalov	Jan 25, 2009
		36	Serge Batalov	Jan 27, 2009
		486 / 486
45	11e6	536	Serge Batalov	Jan 27, 2009
		536 / 4371
		/ 3835
50	43e6	0 / 7415 (1094)
50	43e6	/ 7415 (1094)
55	11e7	0 / 17732 (3076)
55	11e7	/ 17732 (3076)
60	26e7	0 / 42008 (7627)
60	26e7	/ 42008 (7627)

Command line to find prime factors up to about 45-digit

echo 264992228751521038868743541998557393119856588387281065504185858978808271283975560856597951973762743008304012860757952849075905675734861746803433374953624406144031785972315079874307161896806425492778664705548670297208732477057615923901675662176227 | ecm -n -c 3835 11e6

Command line to find prime factors up to about 50-digit

echo 264992228751521038868743541998557393119856588387281065504185858978808271283975560856597951973762743008304012860757952849075905675734861746803433374953624406144031785972315079874307161896806425492778664705548670297208732477057615923901675662176227 | ecm -n -c 7415 43e6

Command line to find prime factors up to about 55-digit

echo 264992228751521038868743541998557393119856588387281065504185858978808271283975560856597951973762743008304012860757952849075905675734861746803433374953624406144031785972315079874307161896806425492778664705548670297208732477057615923901675662176227 | ecm -n -c 17732 11e7

Command line to find prime factors up to about 60-digit

echo 264992228751521038868743541998557393119856588387281065504185858978808271283975560856597951973762743008304012860757952849075905675734861746803433374953624406144031785972315079874307161896806425492778664705548670297208732477057615923901675662176227 | ecm -n -c 42008 26e7

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