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(53·10202-71)/9 =
5(8)2011<203>
= 3 · 19 · 857 · 1259 · 1004317 · 71365367 · 779769064987480193874703347294131196204883<42> · [17132771907515894174556863898939580232543643866401830701290571585218041096109532000936311816177590847856617333605840706370680024403860034243<140>] (Dmitry Domanov / ECMNET / Aug 20, 2009) SUBMIT/RESERVE

Status

Expression:(53·10202-71)/9
Composite Factor:171327719075158941745568638989395802325436438664018307012905
715852180410961095320009363118161775908478566173336058407063
70680024403860034243
(140-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 204.63-digit and the GNFS difficulty is 139.23-digit. GNFS must be faster than SNFS. It will take about 18 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 58881_202.
  2. Put the following composite number file 58881_202.n in there too.
  3. And then, run "perl factMsieve.pl 58881_202".
58881_202.n
n: 17132771907515894174556863898939580232543643866401830701290571585218041096109532000936311816177590847856617333605840706370680024403860034243

See also


Efforts by ECM

The efforts by ECM to find small factors of this 140-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  
4511e6937Dmitry DomanovAug 20, 2009
937 / 4475  
/ 3538
5043e60 / 7342 (1009)  
/ 7342 (1009)  
5511e70 / 17711 (3046)  
/ 17711 (3046)  
6026e70 / 42003 (7618)  
/ 42003 (7618)  
Command line to find prime factors up to about 45-digit
echo 17132771907515894174556863898939580232543643866401830701290571585218041096109532000936311816177590847856617333605840706370680024403860034243 | ecm -n -c 3538 11e6
Command line to find prime factors up to about 50-digit
echo 17132771907515894174556863898939580232543643866401830701290571585218041096109532000936311816177590847856617333605840706370680024403860034243 | ecm -n -c 7342 43e6
Command line to find prime factors up to about 55-digit
echo 17132771907515894174556863898939580232543643866401830701290571585218041096109532000936311816177590847856617333605840706370680024403860034243 | ecm -n -c 17711 11e7
Command line to find prime factors up to about 60-digit
echo 17132771907515894174556863898939580232543643866401830701290571585218041096109532000936311816177590847856617333605840706370680024403860034243 | ecm -n -c 42003 26e7

Submit polynomial for GNFS

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