is 2 634211 - 1
has 190917 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-L62907FE74D245EA2double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual269188.244671.0145%51000000728120893500875.070419.6598%1,063.315076.7130%5.6985%
PrimeNet2400.000050.0000%60002200000.000420.6446%0.000460.3223%10.3223%
GPU722440.000054.5455%110004000000.000715.9126%0.000761.7784%7.2330%
Difference+25+188.2446+16.4690%+50989000+728120493500+875.0697+3.7472%+1,063.3143+14.9345%-1.5345%

Known prime factors (1 factor, 137.0 bits, 0.02160717% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
63421117851138744330740403532133534895803881935342137.035140735013617950022969738253790109316
22 × 32 × 7 × 16417 × 38447 × 2345257 × 13308167 × 28348930543
2022-10-0313308167283489305432.466e+1134.30663.557

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-12-31T00:00:00Alex Kruppav4_computers200040000---8.96776e-5--0.070%
2001-05-27T00:00:00Alex Kruppav4_computers1000004000000---0.007--2.035%
2002-05-11T00:00:00ANONYMOUSv4_computers163841638400---0.002--0.896%
2002-07-06T00:00:00ANONYMOUSv4_computers327683276800---0.005--1.392%
2002-10-07T00:00:00ANONYMOUSv4_computers655366553600---0.009--2.020%
2003-05-26T00:00:00ANONYMOUSv4_computers13107213107200---0.018--2.773%
2011-02-01T23:31:00Jocelyn LaroucheManual testing20000002000000---0.044--2.386%
2013-10-26T02:39:00David Campeaui5-2500k208000070720000---0.128--5.752%
2015-11-14T15:07:38Sid & AndyWoody634211019026330012---0.361--7.428%
2020-11-24T21:34:13Carlos PinhoHomeComputer4500019750006---0.003--1.381%
2022-10-03T12:49:19masserhwell5100000072812089350042137.035875.10.0191,75019.660%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2022-08-30T15:11:10masserManual testing510000021930000027--0.423


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-01-12T00:00:00ANONYMOUSv4_computers253254--0.002--
2022-03-07T09:01:56LordJuliusManual testing254255--0.004--
2001-04-15T00:00:00ANONYMOUSv4_computers21256--0.015--
2001-10-25T00:00:00ANONYMOUSv4_computers21257--0.030--
2003-10-31T00:00:00ANONYMOUSv4_computers21258--0.061--
2008-10-17T17:26:00Sturle Sundebuxtehude.ifi258259--0.061--
2008-10-17T18:08:00Sturle Sundebuxtehude.ifi259260--0.121--
2010-08-12T17:29:00Architects Cubedm1_tt260261--0.242--
2015-06-06T08:32:00lycornManual testing261262--0.484--
2015-10-13T09:13:22Gordon SpenceManual testing262263--1.548--
2015-10-13T09:13:22Gordon SpenceManual testing263264--3.096--
2017-06-23T08:32:07Smok_bmvManual testing264265--5.891--
2017-07-20T04:41:14Smok_bmvManual testing265266--11.78--
2017-09-20T04:38:41Smok_bmvManual testing266267--23.57--
2017-09-21T04:32:31Smok_bmvManual testing267268--47.13--
2018-04-02T04:40:02Smok_bmvManual testing268269--94.26--


ECM factoring results:
Total ECM effort:21.409 GHz-days
Estimated T-Level:26.658
DigitsB1CompleteFacMiss
201100028.4970.000%
25500003.5532.863%
302500000.33271.784%
3510000000.02597.529%
4030000000.00299.842%


ECM Summary

B1B2factorcurvesGHz-days
5000050000003666.228
2500002500000014912.68
25000025426810572.504


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2015-04-11T05:58:00MadPooManual testing62907FE74D245EA20.010


PRP results:
dateuseridcompidcofactorsres64PRP
2022-10-03T13:04:52masserhwell
178511387443307404035321335348958038819353
1B8B235CE13526D0no


P-1 factor-bounds graph:
B1 = 51000000, B2 = 728120893500 (P-1 stage 2)
B1 = 51000000 (P-1 stage 1)
B1 = 6342110, B2 = 190263300 (P-1 stage 2)
B1 = 6342110 (P-1 stage 1)
B1 = 2080000, B2 = 70720000 (P-1 stage 2)
B1 = 2080000 (P-1 stage 1)
B1 = 2000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 100000, B2 = 4000000 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 45000, B2 = 1975000 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 45000 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 16384 (P-1 stage 1)
B1 = 2000, B2 = 40000 (P-1 stage 2)
B1 = 2000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-10-03T13:04:52+00:00