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(53·10205+1)/9 =
5(8)2049<206>
= 47 · 197 · 317 · 946474730253881<15> · 15947952781883519<17> · 5893032166055217751510000561<28> · [225557482025682395041829487227511886002877394226831482705760203234132362979671048985970167968945122453565017231935691344026266579564593242897<141>] SUBMIT/RESERVE

Status

Expression:(53·10205+1)/9
Composite Factor:225557482025682395041829487227511886002877394226831482705760
203234132362979671048985970167968945122453565017231935691344
026266579564593242897
(141-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 206.72-digit and the GNFS difficulty is 140.35-digit. GNFS must be faster than SNFS. It will take about 20 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 58889_205.
  2. Put the following composite number file 58889_205.n in there too.
  3. And then, run "perl factMsieve.pl 58889_205".
58889_205.n
n: 225557482025682395041829487227511886002877394226831482705760203234132362979671048985970167968945122453565017231935691344026266579564593242897

See also


Efforts by ECM

The efforts by ECM to find small factors of this 141-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 
403e6500Erik BrangerMay 6, 2009
1818Wataru SakaiJul 26, 2009
2318 / 2318  
4511e60 / 3963  
/ 3963
5043e60 / 7465 (1130)  
/ 7465 (1130)  
5511e70 / 17751 (3097)  
/ 17751 (3097)  
6026e70 / 42014 (7636)  
/ 42014 (7636)  
Command line to find prime factors up to about 45-digit
echo 225557482025682395041829487227511886002877394226831482705760203234132362979671048985970167968945122453565017231935691344026266579564593242897 | ecm -n -c 3963 11e6
Command line to find prime factors up to about 50-digit
echo 225557482025682395041829487227511886002877394226831482705760203234132362979671048985970167968945122453565017231935691344026266579564593242897 | ecm -n -c 7465 43e6
Command line to find prime factors up to about 55-digit
echo 225557482025682395041829487227511886002877394226831482705760203234132362979671048985970167968945122453565017231935691344026266579564593242897 | ecm -n -c 17751 11e7
Command line to find prime factors up to about 60-digit
echo 225557482025682395041829487227511886002877394226831482705760203234132362979671048985970167968945122453565017231935691344026266579564593242897 | ecm -n -c 42014 26e7

Submit polynomial for GNFS

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