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(4·10231-1)/3 =
1(3)231<232>
= 2917 · 51824844853<11> · 23692560197239551081270833387477<32> · 1862546921637290351531952691671776489<37> · [199868835314352006303616101691173511035981142016504847269115886853153738185472417870991193724827260514112019164316369241384478739018564658717340450161<150>] (Serge Batalov / GMP-ECM 6.2 B1=1000000, sigma=330100060 for P32 / Jul 11, 2008) (Dmitry Domanov / ECMNET for P37 / Jul 1, 2009) SUBMIT/RESERVE

Status

Expression:(4·10231-1)/3
Composite Factor:199868835314352006303616101691173511035981142016504847269115
886853153738185472417870991193724827260514112019164316369241
384478739018564658717340450161
(150-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 231.90-digit and the GNFS difficulty is 149.30-digit. GNFS must be faster than SNFS. It will take about 54 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 13333_231.
  2. Put the following composite number file 13333_231.n in there too.
  3. And then, run "perl factMsieve.pl 13333_231".
13333_231.n
n: 199868835314352006303616101691173511035981142016504847269115886853153738185472417870991193724827260514112019164316369241384478739018564658717340450161

See also


Efforts by ECM

The efforts by ECM to find small factors of this 150-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 
403e6500suberiJul 25, 2008
500 / 0  
4511e6700Dmitry DomanovJul 11, 2009
700 / 4368  
/ 3668
5043e60 / 7377 (1046)  
/ 7377 (1046)  
5511e70 / 17722 (3060)  
/ 17722 (3060)  
6026e70 / 42006 (7623)  
/ 42006 (7623)  
Command line to find prime factors up to about 45-digit
echo 199868835314352006303616101691173511035981142016504847269115886853153738185472417870991193724827260514112019164316369241384478739018564658717340450161 | ecm -n -c 3668 11e6
Command line to find prime factors up to about 50-digit
echo 199868835314352006303616101691173511035981142016504847269115886853153738185472417870991193724827260514112019164316369241384478739018564658717340450161 | ecm -n -c 7377 43e6
Command line to find prime factors up to about 55-digit
echo 199868835314352006303616101691173511035981142016504847269115886853153738185472417870991193724827260514112019164316369241384478739018564658717340450161 | ecm -n -c 17722 11e7
Command line to find prime factors up to about 60-digit
echo 199868835314352006303616101691173511035981142016504847269115886853153738185472417870991193724827260514112019164316369241384478739018564658717340450161 | ecm -n -c 42006 26e7

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