Contribution and Reservation

(64·10²⁹³-1)/9 =: 7(1)₂₉₃_<294>; = 3 · 296347 · [799863123423004238399703850678552632680732509649286265887749958788302351760055060577758631054260839613821084866852159924132982743328047987788089763139282790232521459765197680546916408929521935558777504199593844503359362629070100379072631195986586795334648358299685966239027346445339541271_<288>] SUBMIT/RESERVE

Status

Expression:	(64·10²⁹³-1)/9
Composite Factor:	799863123423004238399703850678552632680732509649286265887749 958788302351760055060577758631054260839613821084866852159924 132982743328047987788089763139282790232521459765197680546916 408929521935558777504199593844503359362629070100379072631195 986586795334648358299685966239027346445339541271 (288-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.

SNFS

Use GGNFS and/or Msieve if GMP-ECM cannot find a factor. The SNFS difficulty of this composite number is 295.81-digit and the GNFS difficulty is 287.90-digit. SNFS must be faster than GNFS. It will take about 30199 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 71111_293.
Put the following polynomial file 71111_293.poly in there too.
And then, run "perl factMsieve.pl 71111_293".

71111_293.poly ^*1

n: 799863123423004238399703850678552632680732509649286265887749958788302351760055060577758631054260839613821084866852159924132982743328047987788089763139282790232521459765197680546916408929521935558777504199593844503359362629070100379072631195986586795334648358299685966239027346445339541271
m: 20000000000000000000000000000000000000000000000000
deg: 6
c6: 1
c0: -10
skew: 1.47
type: snfs
lss: 1
rlim: 600000000
alim: 600000000
lpbr: 32
lpba: 32
mfbr: 67
mfba: 67
rlambda: 2.9
alambda: 2.9

*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 288-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)

Level	B1	Reported runs Total / Required runs (Required runs for lower level)	Name
40	3e6	250	Serge Batalov	Jan 24, 2009
		200	Serge Batalov	Jan 25, 2009
		450 / 0
45	11e6	550	Serge Batalov	Jan 27, 2009
		500	Serge Batalov	Aug 20, 2009
		1050 / 4141
		/ 3091
50	43e6	22	Lionel Debroux	Nov 27, 2009
		22 / 7248 (904)
		/ 7226 (882)
55	11e7	22	Lionel Debroux	Nov 26, 2009
		22 / 17692 (3020)
		/ 17670 (2998)
60	26e7	0 / 41989 (7601)
60	26e7	/ 41989 (7601)

Command line to find prime factors up to about 45-digit

echo 799863123423004238399703850678552632680732509649286265887749958788302351760055060577758631054260839613821084866852159924132982743328047987788089763139282790232521459765197680546916408929521935558777504199593844503359362629070100379072631195986586795334648358299685966239027346445339541271 | ecm -n -c 3091 11e6

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

echo 799863123423004238399703850678552632680732509649286265887749958788302351760055060577758631054260839613821084866852159924132982743328047987788089763139282790232521459765197680546916408929521935558777504199593844503359362629070100379072631195986586795334648358299685966239027346445339541271 | ecm -n -c 7226 43e6

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

echo 799863123423004238399703850678552632680732509649286265887749958788302351760055060577758631054260839613821084866852159924132982743328047987788089763139282790232521459765197680546916408929521935558777504199593844503359362629070100379072631195986586795334648358299685966239027346445339541271 | ecm -n -c 17670 11e7

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

echo 799863123423004238399703850678552632680732509649286265887749958788302351760055060577758631054260839613821084866852159924132982743328047987788089763139282790232521459765197680546916408929521935558777504199593844503359362629070100379072631195986586795334648358299685966239027346445339541271 | ecm -n -c 41989 26e7

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