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(73·10218-1)/9 =
8(1)218<219>
= 1591428378077<13> · 20967915090247<14> · 5002497179422331219<19> · 8357770941727670041<19> · [581380801772620663589957104270790920705951648670483333270100379400666180579392718734203474866940732110012743524271669409591340889956843126137859221813790511<156>] SUBMIT/RESERVE

Status

Expression:(73·10218-1)/9
Composite Factor:581380801772620663589957104270790920705951648670483333270100
379400666180579392718734203474866940732110012743524271669409
591340889956843126137859221813790511
(156-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.

GNFS

Use GGNFS and/or Msieve if GMP-ECM cannot find a factor. The SNFS difficulty of this composite number is 222.66-digit and the GNFS difficulty is 155.76-digit. GNFS may be faster than SNFS. It will take about 109 CPU-days to factor this composite number on 64-bit Opteron-2600MHz.

  1. Put factMsieve.pl to which $GGNFS_BIN_PATH and $NUM_CPUS were modified properly in the working directory 81111_218.
  2. Put the following composite number file 81111_218.n in there too.
  3. And then, run "perl factMsieve.pl 81111_218".
81111_218.n
n: 581380801772620663589957104270790920705951648670483333270100379400666180579392718734203474866940732110012743524271669409591340889956843126137859221813790511

See also


Efforts by ECM

The efforts by ECM to find small factors of this 156-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)

LevelB1Reported runs
Total / Required runs
(Required runs for lower level)		Name 
403e60 / 0  
4511e6732Dmitry DomanovJun 7, 2009
732 / 4475  
/ 3743
5043e60 / 7389 (1067)  
/ 7389 (1067)  
5511e70 / 17724 (3065)  
/ 17724 (3065)  
6026e70 / 42006 (7624)  
/ 42006 (7624)  
Command line to find prime factors up to about 45-digit
echo 581380801772620663589957104270790920705951648670483333270100379400666180579392718734203474866940732110012743524271669409591340889956843126137859221813790511 | ecm -n -c 3743 11e6
Command line to find prime factors up to about 50-digit
echo 581380801772620663589957104270790920705951648670483333270100379400666180579392718734203474866940732110012743524271669409591340889956843126137859221813790511 | ecm -n -c 7389 43e6
Command line to find prime factors up to about 55-digit
echo 581380801772620663589957104270790920705951648670483333270100379400666180579392718734203474866940732110012743524271669409591340889956843126137859221813790511 | ecm -n -c 17724 11e7
Command line to find prime factors up to about 60-digit
echo 581380801772620663589957104270790920705951648670483333270100379400666180579392718734203474866940732110012743524271669409591340889956843126137859221813790511 | ecm -n -c 42006 26e7

Submit polynomial for GNFS

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