Contribution and Reservation

(16·10²³⁵-7)/9 =: 1(7)₂₃₅_<236>; = [17777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777_<236>] RESERVED

Status

Expression:	(16·10²³⁵-7)/9
Composite Factor:	177777777777777777777777777777777777777777777777777777777777 777777777777777777777777777777777777777777777777777777777777 777777777777777777777777777777777777777777777777777777777777 77777777777777777777777777777777777777777777777777777777 (236-digit)
Status:	Not factored. Reserved by Dmitry Domanov 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.

SNFS

Use GGNFS and/or Msieve if GMP-ECM cannot find a factor. The SNFS difficulty of this composite number is 236.51-digit and the GNFS difficulty is 235.25-digit. SNFS must be faster than GNFS. It will take about 319 CPU-days to factor this composite number on 64-bit Opteron-2600MHz.

Put factMsieve.pl to which $GGNFS_BIN_PATH and $NUM_CPUS were modified properly in the working directory 17777_235.
Put the following polynomial file 17777_235.poly in there too.
And then, run "perl factMsieve.pl 17777_235".

17777_235.poly ^*1

n: 17777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
m: 2000000000000000000000000000000000000000
deg: 6
c6: 5
c0: -14
skew: 1.19
type: snfs
lss: 1
rlim: 61000000
alim: 61000000
lpbr: 30
lpba: 30
mfbr: 60
mfba: 60
rlambda: 2.7
alambda: 2.7

*1 These parameters were not fully adjusted. The approximate expressions which were used for making the parameters are: deg=expt<=105?4:expt<=210?5:6 or expt<=144?4:6; d=log10(c[deg])+deg*log10(m)[digits]; time=10^(d/30-4)[hours]; skew=|c0/c[deg]|^(1/deg); rlim=round(7*10^(d/60+3)); lpbr=floor(d/25+21); mfbr=floor(d/8+31); rlambda=floor(d/25+18)/10;

Efforts by ECM

The efforts by ECM to find small factors of this 236-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)

Level	B1	Reported runs Total / Required runs (Required runs for lower level)	Name
45	11e6	3820	Jo Yeong Uk	Aug 5, 2009
45	11e6	3820 / 0
50	43e6	1900	Dmitry Domanov	Aug 12, 2009
		1100	Dmitry Domanov	Aug 25, 2009
		3000 / 6585
		/ 3585
55	11e7	0 / 16437 (1487)
55	11e7	/ 16437 (1487)
60	26e7	0 / 41602 (7070)
60	26e7	/ 41602 (7070)
65	85e7	0 / 69325 (13477)
65	85e7	/ 69325 (13477)

Command line to find prime factors up to about 50-digit

echo 17777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777 | ecm -n -c 3585 43e6

Command line to find prime factors up to about 55-digit

echo 17777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777 | ecm -n -c 16437 11e7

Command line to find prime factors up to about 60-digit

echo 17777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777 | ecm -n -c 41602 26e7

Command line to find prime factors up to about 65-digit

echo 17777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777 | ecm -n -c 69325 85e7

Submit factors

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