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(56·10203-11)/9 =
6(2)2021<204>
= 3 · 461 · 1637 · 4358258327<10> · 21911707348983780097057<23> · 26211159664343673296609<23> · [109799214862188846194900866904053446391476264035199832160941456078105544697822335548687983974229870585560605756637236241149829830647078164470601<144>] SUBMIT/RESERVE

Status

Expression:(56·10203-11)/9
Composite Factor:109799214862188846194900866904053446391476264035199832160941
456078105544697822335548687983974229870585560605756637236241
149829830647078164470601
(144-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 206.15-digit and the GNFS difficulty is 143.04-digit. GNFS may be faster than SNFS. It will take about 27 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 62221_203.
  2. Put the following composite number file 62221_203.n in there too.
  3. And then, run "perl factMsieve.pl 62221_203".
62221_203.n
n: 109799214862188846194900866904053446391476264035199832160941456078105544697822335548687983974229870585560605756637236241149829830647078164470601

See also


Efforts by ECM

The efforts by ECM to find small factors of this 144-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 
403e62500Dmitry DomanovJun 12, 2009
2500 / 2318  
4511e60 / 3922  
/ 3922
5043e60 / 7458 (1118)  
/ 7458 (1118)  
5511e70 / 17750 (3094)  
/ 17750 (3094)  
6026e70 / 42014 (7635)  
/ 42014 (7635)  
Command line to find prime factors up to about 45-digit
echo 109799214862188846194900866904053446391476264035199832160941456078105544697822335548687983974229870585560605756637236241149829830647078164470601 | ecm -n -c 3922 11e6
Command line to find prime factors up to about 50-digit
echo 109799214862188846194900866904053446391476264035199832160941456078105544697822335548687983974229870585560605756637236241149829830647078164470601 | ecm -n -c 7458 43e6
Command line to find prime factors up to about 55-digit
echo 109799214862188846194900866904053446391476264035199832160941456078105544697822335548687983974229870585560605756637236241149829830647078164470601 | ecm -n -c 17750 11e7
Command line to find prime factors up to about 60-digit
echo 109799214862188846194900866904053446391476264035199832160941456078105544697822335548687983974229870585560605756637236241149829830647078164470601 | ecm -n -c 42014 26e7

Submit polynomial for GNFS

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