is 2 2358011 - 1
has 709833 decimal digits
takes 0.159 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L2FC80C44EB1FBA1Cdouble-checked
PRPD479BC2FCA059264verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26950.630368.1159%30000001000000000.81157.2163%51.441870.4168%2.3009%
PrimeNet2580.016362.0690%110002000000.00213.0505%0.018463.2261%1.1571%
GPU722620.260564.5161%130002200000.00241.8367%0.262965.1679%0.6517%
Difference+7+50.3698+3.5998%+2987000+99780000+0.8092+5.3796%+51.1789+5.2489%+5.2489%

Known prime factors (1 factor, 77.3 bits, 0.00328004% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
23580111917602929271366061257532477.34440661450037157716
22 × 32 × 13 × 17 × 199 × 25682364839
2021-06-121992568236483918,813137.06256.00

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-09-21T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.186%
2010-11-03T21:25:00Jocelyn LaroucheManual testing2000020000---0.002--0.218%
2010-12-22T09:55:00Oscar Östlin7501175011---0.007--0.588%
2011-01-23T09:41:00Oscar Östlin900001822500---0.018--2.033%
2014-08-07T10:52:00Jocelyn LaroucheManual testing117220117220---0.011--0.776%
2014-10-22T23:53:00Jocelyn LaroucheManual testing144440144440---0.014--0.875%
2015-08-11T21:20:00mikrMSI3000000100000000---0.812--7.216%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:12Mark RoseManual testing21260--0.065--
2009-01-17T06:54:00Sturle Sundekinner.ifi260261--0.065--
2012-05-29T20:37:00Sebastian HornbostelManual testing261262--0.130--
2013-12-04T21:14:00Jerry HallettManual testing262263--0.416--
2015-03-06T11:15:00VictordeHollanderManual testing263264--0.833--
2015-03-06T11:15:00VictordeHollanderManual testing264265--1.585--
2015-10-29T11:36:24ramgeisManual testing265266--3.169--
2017-06-13T16:34:54Gordon SpenceManual testing266267--6.338--
2019-04-29T13:20:25TJAOIManual testing267268--12.68--
2021-06-10T09:22:18TJAOIManual testing268269--25.35--


ECM factoring results:

Old Calculation Method

Total ECM effort:12.254 GHz-days
Estimated T-Level:22.464
DigitsB1CurvesCompleteFacMiss
2011000138 / 1001.38024.984%
2550000138 / 2800.49361.034%

New Calculation Method

Total ECM effort:12.254 GHz-days
Estimated T-Level:22.464
DigitsB1CompleteFacMiss
20110004.4521.166%
25500000.40266.876%
302500000.02597.553%
3510000000.00199.887%


ECM Summary

B1B2factorcurvesGHz-days
50000500000013311.81
50000500000050.444


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-26T00:00:00ANONYMOUSv4_computers2FC80C44EB1FBA1C0.159
2018-05-10T15:18:26kkmrkkblmbrbkold2FC80C44EB1FBA1C0.159


PRP results:
dateuseridcompidcofactorsres64PRP
2021-06-13T07:30:35ZacHFX5950X
191760292927136606125753
D479BC2FCA059264no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 90000, B2 = 1822500 (P-1 stage 2)
B1 = 144440 (P-1 stage 1)
B1 = 117220 (P-1 stage 1)
B1 = 90000 (P-1 stage 1)
B1 = 75011 (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: 2021-06-13T07:30:35+00:00