is 2 2147737 - 1
has 646534 decimal digits
takes 0.141 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L2DA08BA0A827161Cdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26827.752467.6471%39814461234248401.00008.1859%28.752470.2954%2.6484%
PrimeNet2580.017962.0690%90001700000.00172.7332%0.019663.1057%1.0367%
GPU722620.286164.5161%100001500000.00171.4886%0.287765.0444%0.5282%
Difference+6+27.4664+3.1309%+3971446+123274840+0.9983+6.6973%+28.4647+5.2511%+5.2511%

Known prime factors (1 factor, 80.2 bits, 0.00373390% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
214773713832143508076524893165372580.194322016697297586364
22 × 19 × 4237061806547189
2020-08-04194237061806547189159,51722,008,35841,105,484

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-07T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.225%
2010-11-03T21:25:00Jocelyn LaroucheManual testing2000020000---0.002--0.254%
2010-12-30T22:20:00Jocelyn LaroucheManual testing3000030000---0.003--0.353%
2011-01-13T23:58:00Jocelyn LaroucheManual testing5000050000---0.005--0.512%
2011-01-22T00:40:00James Heinrichi7-9201300002632500---0.025--2.655%
2014-11-03T03:43:00Jocelyn LaroucheManual testing159885159885---0.015--1.044%
2016-06-07T06:22:16Jocelyn LaroucheManual testing17587352650006---0.043--3.265%
2017-04-22T17:25:09Jocelyn Larouchelow 4M35174635174606---0.050--3.301%
2017-04-27T01:16:35nordiManual testing398144612342484012---1.000--8.186%
2017-04-27T04:20:43Jocelyn Larouchelow 4M42209542209506---0.060--3.521%
2017-05-08T05:55:47Jocelyn Larouchelow 4M50651450651406---0.072--3.747%
2017-05-13T16:00:10Jocelyn Larouchelow 4M60781660781606---0.086--3.981%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-29T00:00:00ANONYMOUSv4_computers21258--0.018--
2016-02-23T16:29:07Mark RoseManual testing258260--0.054--
2009-01-05T07:18:00Sturle Sundeginjtje.ifi260261--0.072--
2009-01-08T10:24:00Sturle Sundebuxtehude.ifi261262--0.143--
2013-09-07T11:35:00ramgeisManual testing262263--0.457--
2015-03-18T10:56:00VictordeHollanderManual testing263264--0.914--
2015-03-18T10:56:00VictordeHollanderManual testing264265--1.740--
2016-02-15T06:01:01YxinityManual testing265266--3.479--
2016-10-29T15:24:12Gordon SpenceManual testing266267--6.959--
2019-04-15T13:43:11TJAOIManual testing267268--13.92--


ECM factoring results:

Old Calculation Method

Total ECM effort:9.131 GHz-days
Estimated T-Level:21.911
DigitsB1CurvesCompleteFacMiss
2011000107 / 1001.07034.117%
2550000107 / 2800.38268.193%

New Calculation Method

Total ECM effort:9.131 GHz-days
Estimated T-Level:21.911
DigitsB1CompleteFacMiss
20110004.1151.632%
25500000.38168.333%
302500000.02497.627%
3510000000.00199.888%


ECM Summary

B1B2factorcurvesGHz-days
5000050000001058.961
50000500000020.171


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-14T00:00:00ANONYMOUSv4_computers2DA08BA0A827161C0.141
2018-04-08T19:03:05kkmrkkblmbrbkold2DA08BA0A827161C0.141


PRP results:
dateuseridcompidcofactorsres64PRP
2020-08-05T00:13:12CrypticCluecruncher
1383214350807652489316537
31976844B788D03Dno
2020-08-05T16:26:25marssystemsSYSTEM01
1383214350807652489316537
31976844B788D03Dno


P-1 factor-bounds graph:
B1 = 3981446, B2 = 123424840 (P-1 stage 2)
B1 = 3981446 (P-1 stage 1)
B1 = 607816, B2 = 6078160 (P-1 stage 2)
B1 = 506514, B2 = 5065140 (P-1 stage 2)
B1 = 422095, B2 = 4220950 (P-1 stage 2)
B1 = 607816 (P-1 stage 1)
B1 = 351746, B2 = 3517460 (P-1 stage 2)
B1 = 506514 (P-1 stage 1)
B1 = 175873, B2 = 5265000 (P-1 stage 2)
B1 = 422095 (P-1 stage 1)
B1 = 351746 (P-1 stage 1)
B1 = 130000, B2 = 2632500 (P-1 stage 2)
B1 = 175873 (P-1 stage 1)
B1 = 159885 (P-1 stage 1)
B1 = 130000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2020-08-05T16:26:25+00:00