is 2 2596213 - 1
has 781538 decimal digits
takes 0.180 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L30C72286EA0CB30Edouble-checked
PRP849F40B77A52524Everified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26822.958467.6471%32000001120000000.91808.0871%23.876470.2635%2.6164%
PrimeNet2590.029662.7119%110002000000.00212.6942%0.031763.7165%1.0046%
GPU722630.614765.0794%120002000000.00221.5299%0.617065.6136%0.5342%
Difference+5+22.3436+2.5677%+3188000+111800000+0.9158+6.5572%+23.2594+4.6499%+4.6499%

Known prime factors (1 factor, 68.8 bits, 0.00265184% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
25962135310179764317172865032168.847102267798603527
17 × 12251 × 491041781
2021-03-041225149104178137.2482.69185.0254

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-31T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.238%
2003-11-08T00:00:00Team Prime Ribv4_computers15000206250---0.003--0.767%
2010-11-16T23:08:00Jocelyn LaroucheManual testing2000020000---0.002--0.266%
2011-01-15T02:57:00Jocelyn LaroucheManual testing5000050000---0.005--0.533%
2011-04-15T00:46:00James HeinrichWHS1750004156250---0.039--3.185%
2016-08-22T06:17:10mikrMSI320000011200000012---0.918--8.087%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-26T00:00:00ANONYMOUSv4_computers21259--0.030--
2016-02-23T16:29:17Mark RoseManual testing259260--0.030--
2009-01-31T23:43:00Sturle Sundedietrich.ifi260261--0.059--
2012-06-23T09:44:00Sebastian HornbostelManual testing261262--0.118--
2013-01-14T11:55:00dbaughManual testing262263--0.378--
2015-02-27T20:35:00VictordeHollanderManual testing263264--0.756--
2015-02-27T20:35:00VictordeHollanderManual testing264265--1.439--
2015-11-06T09:16:17ramgeisManual testing265266--2.878--
2017-08-21T17:34:51Gordon SpenceManual testing266267--5.757--
2019-04-01T13:34:43TJAOIManual testing267268--11.51--


ECM factoring results:

Old Calculation Method

Total ECM effort:9.338 GHz-days
Estimated T-Level:21.804
DigitsB1CurvesCompleteFacMiss
2011000101 / 1001.01036.237%
2550000101 / 2800.36169.673%

New Calculation Method

Total ECM effort:9.338 GHz-days
Estimated T-Level:21.804
DigitsB1CompleteFacMiss
20110003.2583.846%
25500000.29474.493%
302500000.01898.203%


ECM Summary

B1B2factorcurvesGHz-days
500005000000968.876
50000500000050.462


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-02-12T00:00:00ANONYMOUSv4_computers30C72286EA0CB30E0.180
1999-04-02T00:00:00ANONYMOUSv4_computers30C72286EA0CB30E0.180
2018-06-24T23:42:51kkmrkkblmbrbkold30C72286EA0CB30E0.180


PRP results:
dateuseridcompidcofactorsres64PRP
2021-03-05T16:01:08mrhw
531017976431717286503
849F40B77A52524Eno


P-1 factor-bounds graph:
B1 = 3200000, B2 = 112000000 (P-1 stage 2)
B1 = 3200000 (P-1 stage 1)
B1 = 175000, B2 = 4156250 (P-1 stage 2)
B1 = 175000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 15000, B2 = 206250 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
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106
107
102
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104
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109
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
259
250
260
270
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2100
Last modified: 2021-04-05T11:56:39+00:00