is 2 2142353 - 1
has 644913 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-L4022674AA623D55Edouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26827.822267.6471%25000001250000000.87467.9141%28.696870.2075%2.5604%
PrimeNet2580.017962.0690%90001700000.00172.7319%0.019663.1052%1.0362%
GPU722620.286864.5161%100001500000.00171.4879%0.288465.0441%0.5280%
Difference+6+27.5354+3.1309%+2490000+124850000+0.8730+6.4262%+28.4083+5.1634%+5.1634%

Known prime factors (1 factor, 74.0 bits, 0.00345621% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2142353194775461786816357267772374.0444545830257357596
22 × 3 × 378819188113133
2020-03-0843788191881131333,562.51,967,6823,675,081

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-07T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.225%
2010-11-02T22:12:00ANONYMOUSManual 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%
2011-01-24T14:23:00James Heinrichi7-9201300002632500---0.025--2.654%
2014-10-28T23:25:00Jocelyn LaroucheManual testing159960159960---0.015--1.044%
2016-06-04T03:37:01Jocelyn LaroucheManual testing17595652650006---0.043--3.265%
2016-11-13T02:06:36Jocelyn Larouchelow 4M211147211147---0.020--1.208%
2017-04-22T17:25:11Jocelyn Larouchelow 4M35191235191206---0.050--3.301%
2017-04-27T04:20:46Jocelyn Larouchelow 4M42229442229406---0.060--3.520%
2017-11-02T07:41:57mikrMSI250000012500000012---0.875--7.914%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-29T00:00:00ANONYMOUSv4_computers21258--0.018--
2016-02-23T16:29:06Mark RoseManual testing258260--0.054--
2009-01-04T14:27:00Sturle Sundefoster.ifi260261--0.072--
2009-01-06T20:04:00Sturle Sundeginjtje.ifi261262--0.143--
2013-09-07T11:35:00ramgeisManual testing262263--0.458--
2015-03-18T10:56:00VictordeHollanderManual testing263264--0.916--
2015-03-18T10:56:00VictordeHollanderManual testing264265--1.744--
2015-12-27T16:49:15ramgeisManual testing265266--3.488--
2016-10-29T15:24:11Gordon SpenceManual testing266267--6.976--
2019-04-15T13:43:12TJAOIManual testing267268--13.95--


ECM factoring results:

Old Calculation Method

Total ECM effort:5.289 GHz-days
Estimated T-Level:3.100
DigitsB1CurvesCompleteFacMiss
201100062 / 1000.62053.627%
255000062 / 2800.22180.106%

New Calculation Method

Total ECM effort:5.289 GHz-days
Estimated T-Level:3.100
DigitsB1CompleteFacMiss
20110002.00013.534%
25500000.18183.464%
302500000.01198.893%


ECM Summary

B1B2factorcurvesGHz-days
500005000000605.119
50000500000020.171


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-07T00:00:00ANONYMOUSv4_computers4022674AA623D55E0.141
2018-04-07T19:11:08kkmrkkblmbrbkold4022674AA623D55E0.141


PRP results:
dateuseridcompidcofactorsres64PRP
2020-03-09T15:12:05Niels_Mache_NextcloudSuperDry-X
19477546178681635726777
491F92677324EB16no
2020-03-09T16:24:38ATHec2-PRPCFDC
19477546178681635726777
491F92677324EB16no


P-1 factor-bounds graph:
B1 = 2500000, B2 = 125000000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 422294, B2 = 4222940 (P-1 stage 2)
B1 = 351912, B2 = 3519120 (P-1 stage 2)
B1 = 175956, B2 = 5265000 (P-1 stage 2)
B1 = 422294 (P-1 stage 1)
B1 = 351912 (P-1 stage 1)
B1 = 130000, B2 = 2632500 (P-1 stage 2)
B1 = 211147 (P-1 stage 1)
B1 = 175956 (P-1 stage 1)
B1 = 159960 (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: 2020-03-09T16:24:38+00:00