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(16·10227-1)/3 =
5(3)227<228>
= 41 · 1101419432827217431<19> · 837939824157522113713403<24> · 50951806998599951488548848592191<32> · [276623909222459955262062365246498315145753233845762190081926880984539629653558336897979021461117054738370602081856376552137256435890922353288561621777151<153>] (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=2751728905 for P32 / Nov 1, 2008) SUBMIT/RESERVE

Status

Expression:(16·10227-1)/3
Composite Factor:276623909222459955262062365246498315145753233845762190081926
880984539629653558336897979021461117054738370602081856376552
137256435890922353288561621777151
(153-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.

NFS

Use GGNFS and/or Msieve if GMP-ECM cannot find a factor. The SNFS difficulty of this composite number is 228.20-digit and the GNFS difficulty is 152.44-digit. GNFS must be faster than SNFS. It will take about 87 CPU-days to factor this composite number on 64-bit Opteron-2600MHz.

Steps of GNFS

  1. Put factMsieve.pl to which $GGNFS_BIN_PATH and $NUM_CPUS were modified properly in the working directory 53333_227.
  2. Put the following composite number file 53333_227.n in there too.
  3. And then, run "perl factMsieve.pl 53333_227".
53333_227.n
n: 276623909222459955262062365246498315145753233845762190081926880984539629653558336897979021461117054738370602081856376552137256435890922353288561621777151

See also


Efforts by ECM

The efforts by ECM to find small factors of this 153-digit composite number so far are as follows. According to the reports, unknown prime factors of this composite number are probably 45-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 
4511e61500Serge BatalovJan 5, 2009
2888Wataru SakaiJan 5, 2010
4388 / 0  
5043e62687Wataru SakaiJan 11, 2010
2687 / 6553  
/ 3866
5511e70 / 16533 (1604)  
/ 16533 (1604)  
6026e70 / 41633 (7112)  
/ 41633 (7112)  
6585e70 / 69332 (13487)  
/ 69332 (13487)  
Command line to find prime factors up to about 50-digit
echo 276623909222459955262062365246498315145753233845762190081926880984539629653558336897979021461117054738370602081856376552137256435890922353288561621777151 | ecm -n -c 3866 43e6
Command line to find prime factors up to about 55-digit
echo 276623909222459955262062365246498315145753233845762190081926880984539629653558336897979021461117054738370602081856376552137256435890922353288561621777151 | ecm -n -c 16533 11e7
Command line to find prime factors up to about 60-digit
echo 276623909222459955262062365246498315145753233845762190081926880984539629653558336897979021461117054738370602081856376552137256435890922353288561621777151 | ecm -n -c 41633 26e7
Command line to find prime factors up to about 65-digit
echo 276623909222459955262062365246498315145753233845762190081926880984539629653558336897979021461117054738370602081856376552137256435890922353288561621777151 | ecm -n -c 69332 85e7

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