is 2 2340739 - 1
has 704633 decimal digits
takes 0.158 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L6AE05431150B944Bdouble-checked
PRP77E61C8101E767D4verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26825.464167.6471%50000003050000002.09089.5589%27.555070.7397%3.0926%
PrimeNet2580.016462.0690%110002000000.00213.0465%0.018563.2245%1.1556%
GPU722620.262564.5161%130002000000.00231.7851%0.264765.1495%0.6334%
Difference+6+25.2017+3.1309%+4987000+304800000+2.0886+7.7739%+27.2902+5.5901%+5.5901%

Known prime factors (1 factor, 72.9 bits, 0.00311606% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
234073990521589975872353926712272.9391933611350429765
5 × 163 × 607 × 3908614933
2021-03-016073908614933456.7720.86038.960

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-09-21T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.231%
2010-10-09T20:18:00Oscar Östlin40000620000---0.007--1.430%
2011-01-18T00:06:00Jocelyn LaroucheManual testing5000050000---0.005--0.522%
2012-01-09T16:04:00Squeeky_SquirrelP4_26001550003565000---0.033--2.972%
2016-01-02T00:34:06mikrMSI300000010000000012---0.812--7.827%
2021-05-03T04:45:41ViliamF35000000305000000---2.091--9.559%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:12Mark RoseManual testing21260--0.066--
2009-01-13T22:35:00Sturle Sundegimo.ifi260261--0.066--
2012-05-28T16:43:00Sebastian HornbostelManual testing261262--0.131--
2013-01-23T08:26:00dbaughManual testing262263--0.419--
2015-03-06T11:15:00VictordeHollanderManual testing263264--0.839--
2015-03-06T11:15:00VictordeHollanderManual testing264265--1.596--
2015-10-25T20:35:19ramgeisManual testing265266--3.192--
2017-06-11T03:37:59Gordon SpenceManual testing266267--6.385--
2019-03-18T11:45:40TJAOIManual testing267268--12.77--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.265 GHz-days
Estimated T-Level:22.268
DigitsB1CurvesCompleteFacMiss
2011000127 / 1001.27027.904%
2550000127 / 2800.45463.484%

New Calculation Method

Total ECM effort:11.265 GHz-days
Estimated T-Level:22.268
DigitsB1CompleteFacMiss
20110004.0971.663%
25500000.37069.055%
302500000.02397.746%
3510000000.00199.896%


ECM Summary

B1B2factorcurvesGHz-days
50000500000012611.18
50000500000010.089


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-16T00:00:00ANONYMOUSv4_computers6AE05431150B944B0.158
2018-05-08T00:49:56kkmrkkblmbrbkold6AE05431150B944B0.158


PRP results:
dateuseridcompidcofactorsres64PRP
2021-03-02T17:37:42Cork3tits
9052158997587235392671
77E61C8101E767D4no


P-1 factor-bounds graph:
B1 = 5000000, B2 = 305000000 (P-1 stage 2)
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 3000000 (P-1 stage 1)
B1 = 155000, B2 = 3565000 (P-1 stage 2)
B1 = 155000 (P-1 stage 1)
B1 = 40000, B2 = 620000 (P-1 stage 2)
B1 = 50000 (P-1 stage 1)
B1 = 40000 (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: 2021-05-03T04:45:41+00:00