Contribution and Reservation

(64·10²⁹⁹-1)/9 =: 7(1)₂₉₉_<300>; = 3² · 2969 · 749171669900077_<15> · [35522490881093271661329585252950977328355983829259008052214897789518454045113897933243449260530339391447395099565727016988435909370824675255172788569185714160986064441971067235058833766415204488845576065957814052349748433017729447724077164421499942993371676681437437118176706331683_<281>] SUBMIT/RESERVE

Status

Expression:	(64·10²⁹⁹-1)/9
Composite Factor:	355224908810932716613295852529509773283559838292590080522148 977895184540451138979332434492605303393914473950995657270169 884359093708246752551727885691857141609860644419710672350588 337664152044888455760659578140523497484330177294477240771644 21499942993371676681437437118176706331683 (281-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 301.81-digit and the GNFS difficulty is 280.55-digit. SNFS must be faster than GNFS. It will take about 47862 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_299.
Put the following polynomial file 71111_299.poly in there too.
And then, run "perl factMsieve.pl 71111_299".

71111_299.poly ^*1

n: 35522490881093271661329585252950977328355983829259008052214897789518454045113897933243449260530339391447395099565727016988435909370824675255172788569185714160986064441971067235058833766415204488845576065957814052349748433017729447724077164421499942993371676681437437118176706331683
m: 200000000000000000000000000000000000000000000000000
deg: 6
c6: 1
c0: -10
skew: 1.47
type: snfs
lss: 1
rlim: 750000000
alim: 750000000
lpbr: 33
lpba: 33
mfbr: 68
mfba: 68
rlambda: 3.0
alambda: 3.0

*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 281-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	400	Serge Batalov	Jan 24, 2009
		770	Serge Batalov	Jan 26, 2009
		160	Serge Batalov	Jan 26, 2009
		1330 / 0
45	11e6	220	Serge Batalov	Jan 26, 2009
		130	Serge Batalov	Jan 26, 2009
		236	Serge Batalov	Jan 27, 2009
		500	Serge Batalov	Aug 20, 2009
		1086 / 4186
		/ 3100
50	43e6	0 / 7259 (884)
50	43e6	/ 7259 (884)
55	11e7	0 / 17691 (3012)
55	11e7	/ 17691 (3012)
60	26e7	0 / 41998 (7610)
60	26e7	/ 41998 (7610)

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

echo 35522490881093271661329585252950977328355983829259008052214897789518454045113897933243449260530339391447395099565727016988435909370824675255172788569185714160986064441971067235058833766415204488845576065957814052349748433017729447724077164421499942993371676681437437118176706331683 | ecm -n -c 3100 11e6

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

echo 35522490881093271661329585252950977328355983829259008052214897789518454045113897933243449260530339391447395099565727016988435909370824675255172788569185714160986064441971067235058833766415204488845576065957814052349748433017729447724077164421499942993371676681437437118176706331683 | ecm -n -c 7259 43e6

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

echo 35522490881093271661329585252950977328355983829259008052214897789518454045113897933243449260530339391447395099565727016988435909370824675255172788569185714160986064441971067235058833766415204488845576065957814052349748433017729447724077164421499942993371676681437437118176706331683 | ecm -n -c 17691 11e7

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

echo 35522490881093271661329585252950977328355983829259008052214897789518454045113897933243449260530339391447395099565727016988435909370824675255172788569185714160986064441971067235058833766415204488845576065957814052349748433017729447724077164421499942993371676681437437118176706331683 | ecm -n -c 41998 26e7

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