is 2 658591 - 1
has 198256 decimal digits
takes 0.010 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L835FF2C211179D9Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual269181.276171.0145%49000000698522424600839.499919.6066%1,020.776076.6976%5.6831%
PrimeNet2400.000050.0000%60002400000.000420.9840%0.000460.4920%10.4920%
GPU722440.000054.5455%110004000000.000715.9828%0.000761.8104%7.2649%
Difference+25+181.2761+16.4690%+48989000+698522024600+839.4992+3.6238%+1,020.7753+14.8872%-1.5818%

Known prime factors (1 factor, 128.7 bits, 0.01953704% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
65859154110892514918284934232145358997020456939128.669410808016773067692499837876307124
22 × 32 × 1201 × 11069 × 1277651 × 40073167 × 16765600333
2022-10-1340073167167656003332.575e+1120.96037.587

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-01-02T00:00:00ANONYMOUSv4_computers2000200000---0.000--0.123%
2002-01-22T00:00:00ANONYMOUSv4_computers4096409600---0.001--0.281%
2002-03-10T00:00:00ANONYMOUSv4_computers8192819200---0.001--0.533%
2002-05-05T00:00:00ANONYMOUSv4_computers163841638400---0.002--0.903%
2002-07-14T00:00:00ANONYMOUSv4_computers327683276800---0.005--1.401%
2002-10-12T00:00:00ANONYMOUSv4_computers655366553600---0.009--2.032%
2003-06-06T00:00:00ANONYMOUSv4_computers13107213107200---0.018--2.788%
2011-07-12T13:44:00Jocelyn LaroucheManual testing342581342581---0.008--1.117%
2011-09-11T15:18:00Jocelyn LaroucheManual testing570969570969---0.013--1.429%
2012-06-19T02:42:00Jocelyn LaroucheManual testing658633658633---0.015--1.525%
2012-08-01T01:16:00Jocelyn LaroucheManual testing13171821317182---0.029--2.043%
2013-10-24T08:52:00David Campeaui5-2500k137000043840000---0.081--5.090%
2015-11-15T03:07:20Sid & AndyBullseye658591019757730012---0.374--7.520%
2022-01-22T18:47:56LordJuliusWhiteBox_v30810000000147195198150---176.9--15.840%
2022-10-13T08:25:21masserManual testing4900000069852242460039128.669839.50.0201,67919.607%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2022-09-03T22:51:14masserManual testing490000021070000027--0.406


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-01-25T00:00:00ANONYMOUSv4_computers253254--0.002--
2022-03-07T09:02:25LordJuliusManual testing254255--0.004--
2001-04-15T00:00:00ANONYMOUSv4_computers21256--0.015--
2001-12-22T00:00:00ANONYMOUSv4_computers21257--0.029--
2003-10-23T00:00:00ANONYMOUSv4_computers21258--0.058--
2008-10-12T02:04:00Sturle Sundedoak.ifi258259--0.058--
2008-10-12T02:43:00Sturle Sundedoak.ifi259260--0.117--
2011-01-26T04:36:00Sid & AndyToy_Soldier_2260261--0.233--
2015-05-29T08:42:00lycornManual testing261262--0.466--
2015-10-30T15:21:32Gordon SpenceManual testing262263--1.491--
2015-10-30T15:21:32Gordon SpenceManual testing263264--2.981--
2017-06-28T04:35:10Smok_bmvManual testing264265--5.673--
2017-07-31T04:37:01Smok_bmvManual testing265266--11.35--
2020-01-08T20:34:21Gordon SpenceManual testing266267--22.69--
2022-02-27T07:11:34LordJuliusManual testing267268--45.39--
2022-02-27T07:11:34LordJuliusManual testing268269--90.77--


ECM factoring results:
Total ECM effort:17.099 GHz-days
Estimated T-Level:26.433
DigitsB1CompleteFacMiss
201100023.8710.000%
25500003.0234.865%
302500000.28775.085%
3510000000.02297.835%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002814.796
2500002500000013611.61
2500003675000070.696


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-07-27T00:00:00ANONYMOUSv4_computers835FF2C211179D9D0.010
2015-04-11T15:43:00MadPooManual testing835FF2C211179D9D0.010


PRP results:
dateuseridcompidcofactorsres64PRP
2022-10-13T12:49:20masserhwell
541108925149182849342321453589970204569
964EE0E9B6FECA48no


P-1 factor-bounds graph:
B1 = 49000000, B2 = 698522424600 (P-1 stage 2)
B1 = 10000000, B2 = 147195198150 (P-1 stage 2)
B1 = 49000000 (P-1 stage 1)
B1 = 6585910, B2 = 197577300 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 6585910 (P-1 stage 1)
B1 = 1370000, B2 = 43840000 (P-1 stage 2)
B1 = 1370000 (P-1 stage 1)
B1 = 1317182 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 658633 (P-1 stage 1)
B1 = 570969 (P-1 stage 1)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 342581 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 8192, B2 = 819200 (P-1 stage 2)
B1 = 32768 (P-1 stage 1)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 16384 (P-1 stage 1)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 8192 (P-1 stage 1)
B1 = 4096 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-10-13T12:49:20+00:00