is 2 2240647 - 1
has 674502 decimal digits
takes 0.147 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
1 primality tests remaining
ResidueStatus
L-L188F297D5C536810double-checked
PRP2CA30A7A791372__verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26826.601667.6471%2000000650000000.51797.0402%27.119569.9248%2.2777%
PrimeNet2580.017162.0690%100001800000.00182.8727%0.019063.1586%1.0897%
GPU722620.274264.5161%110001900000.00201.6586%0.276265.1047%0.5885%
Difference+6+26.3274+3.1309%+1989000+64810000+0.5159+5.3816%+26.8434+4.8201%+4.8201%

Known prime factors (1 factor, 69.4 bits, 0.00309628% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
22406477664481720264493031992169.377171032780269817
61 × 3547 × 790475351
2021-02-12354779047535179.1204.10627.6687

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-27T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.228%
2010-11-10T22:07:00Jocelyn LaroucheManual testing3000030000---0.003--0.356%
2011-01-08T01:47:00markrtiny1000002050000---0.020--2.395%
2014-08-25T00:29:00ANONYMOUSManual testing128645128645---0.012--0.933%
2015-12-03T19:16:29Alexander DubrovinManual testing100000060000006---0.121--4.167%
2016-01-17T18:58:57Alexander DubrovinManual testing20000006500000012---0.518--7.040%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:09Mark RoseManual testing21260--0.069--
2009-01-11T04:50:00Sturle Sundehomilius.ifi260261--0.069--
2012-05-03T07:48:00Sebastian HornbostelManual testing261262--0.137--
2013-08-21T05:37:00David CampeauManual testing262263--0.438--
2015-03-10T10:44:00VictordeHollanderManual testing263264--0.876--
2015-03-10T10:44:00VictordeHollanderManual testing264265--1.668--
2015-10-25T20:35:13ramgeisManual testing265266--3.335--
2016-12-30T02:46:28Gordon SpenceManual testing266267--6.670--
2019-04-01T13:34:48TJAOIManual testing267268--13.34--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.843 GHz-days
Estimated T-Level:22.464
DigitsB1CurvesCompleteFacMiss
2011000138 / 1001.38024.984%
2550000138 / 2800.49361.034%

New Calculation Method

Total ECM effort:11.843 GHz-days
Estimated T-Level:22.464
DigitsB1CompleteFacMiss
20110004.4521.166%
25500000.40266.876%
302500000.02597.553%
3510000000.00199.887%


ECM Summary

B1B2factorcurvesGHz-days
50000500000013411.50
50000500000040.343


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-21T00:00:00ANONYMOUSv4_computers188F297D5C5368100.147
2018-04-21T19:34:35kkmrkkblmbrbkold188F297D5C5368100.147


PRP results:
dateuseridcompidcofactorsres64PRP
2021-02-12T21:59:53ViliamF3
766448172026449303199
2CA30A7A791372__no


P-1 factor-bounds graph:
B1 = 2000000, B2 = 65000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 1000000, B2 = 6000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 100000, B2 = 2050000 (P-1 stage 2)
B1 = 128645 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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109
TF factor-bounds graph:
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267
266
265
264
263
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261
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290
2100
Last modified: 2021-02-12T21:59:53+00:00