is 2 2362967 - 1
has 711324 decimal digits
takes 0.160 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L0F09A1E273EC11CEdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26825.224667.6471%30000001000000000.81157.8347%26.036170.1818%2.5348%
PrimeNet2590.032562.7119%100001700000.00182.4724%0.034363.6338%0.9219%
GPU722630.675465.0794%100001400000.00171.2707%0.677165.5231%0.4438%
Difference+5+24.5492+2.5677%+2990000+99860000+0.8099+6.5640%+25.3590+4.6587%+4.6587%

Known prime factors (1 factor, 79.1 bits, 0.00334899% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
23629676640403898508281827093532479.136140509873783854828
22 × 32 × 11 × 7251833 × 48928721
2020-08-19725183348928721102,1460.93281.4457

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-09-21T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.231%
2010-11-03T21:25:00Jocelyn LaroucheManual testing2000020000---0.002--0.260%
2010-12-23T22:36:00Oscar Östlin7501175011---0.007--0.683%
2011-01-22T15:17:00Oscar Östlin900001822500---0.018--2.297%
2014-08-07T10:52:00Jocelyn LaroucheManual testing117163117163---0.011--0.893%
2014-10-22T23:53:00Jocelyn LaroucheManual testing144326144326---0.014--1.004%
2015-08-30T20:11:00mikrMSI3000000100000000---0.812--7.835%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-01T00:00:00Phantomasv4_computers21259--0.032--
2016-02-23T16:29:12Mark RoseManual testing259260--0.032--
2009-01-14T20:59:00Sturle Sundeginjtje.ifi260261--0.065--
2012-05-30T14:43:00Sebastian HornbostelManual testing261262--0.130--
2013-01-23T08:26:00dbaughManual testing262263--0.415--
2015-03-09T12:35:00VictordeHollanderManual testing263264--0.831--
2015-03-09T12:35:00VictordeHollanderManual testing264265--1.581--
2015-10-29T11:36:26ramgeisManual testing265266--3.162--
2017-06-13T16:34:55Gordon SpenceManual testing266267--6.325--
2019-04-15T13:43:04TJAOIManual testing267268--12.65--


ECM factoring results:

Old Calculation Method

Total ECM effort:7.816 GHz-days
Estimated T-Level:4.400
DigitsB1CurvesCompleteFacMiss
201100088 / 1000.88041.295%
255000088 / 2800.31472.990%

New Calculation Method

Total ECM effort:7.816 GHz-days
Estimated T-Level:4.400
DigitsB1CompleteFacMiss
20110002.8395.850%
25500000.25777.371%
302500000.01698.433%


ECM Summary

B1B2factorcurvesGHz-days
500005000000817.194
50000500000070.622


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-26T00:00:00Phantomasv4_computers0F09A1E273EC11CE0.160
2018-05-11T08:21:23kkmrkkblmbrbkold0F09A1E273EC11CE0.160


PRP results:
dateuseridcompidcofactorsres64PRP
2020-08-22T07:01:11Chang Chia-Tchehomura
664040389850828182709353
CE3ED714F2DDF6B2no
2020-08-23T00:17:02marssystemsSYSTEM01
664040389850828182709353
CE3ED714F2DDF6B2no


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 = 144326 (P-1 stage 1)
B1 = 117163 (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)
102
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104
105
106
107
102
103
104
105
106
107
108
TF factor-bounds graph:
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267
266
265
264
263
262
261
260
259
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260
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2100
Last modified: 2020-08-23T00:17:02+00:00