is 2 2591093 - 1
has 779997 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-L9FD81F4BEC8D7DB3double-checked
PRPC90FEC37DB550B1Averified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26823.003867.6471%32000001120000000.91808.0855%23.921870.2630%2.6159%
PrimeNet2590.029662.7119%110002000000.00212.6932%0.031863.7161%1.0042%
GPU722630.616065.0794%120002000000.00221.5293%0.618265.6134%0.5340%
Difference+5+22.3878+2.5677%+3188000+111800000+0.9158+6.5562%+23.3036+4.6496%+4.6496%

Known prime factors (1 factor, 73.3 bits, 0.00283004% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2591093118642205694897322591992373.3292289423916758243
3 × 47 × 2417 × 6717852319
2020-08-10241767178523191,199.036.81168.752

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-31T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.237%
2003-11-08T00:00:00Team Prime Ribv4_computers15000206250---0.003--0.767%
2010-11-15T22:51:00Jocelyn LaroucheManual testing2000020000---0.002--0.266%
2011-01-13T23:58:00Jocelyn LaroucheManual testing5000050000---0.005--0.533%
2011-02-22T14:17:00James Heinrichi7-9201750004112500---0.039--3.177%
2016-08-22T01:08:35mikrMSI320000011200000012---0.918--8.086%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-26T00:00:00ANONYMOUSv4_computers21259--0.030--
2016-02-23T16:29:17Mark RoseManual testing259260--0.030--
2009-02-02T02:56:00Sturle Sundeakerman.ifi260261--0.059--
2012-06-22T22:44:00Sebastian HornbostelManual testing261262--0.119--
2013-01-14T11:55:00dbaughManual testing262263--0.379--
2015-02-27T20:35:00VictordeHollanderManual testing263264--0.758--
2015-02-27T20:35:00VictordeHollanderManual testing264265--1.442--
2015-11-06T09:16:16ramgeisManual testing265266--2.884--
2017-08-20T12:59:36Gordon SpenceManual testing266267--5.768--
2019-05-20T13:24:25TJAOIManual testing267268--11.54--


ECM factoring results:

Old Calculation Method

Total ECM effort:4.899 GHz-days
Estimated T-Level:2.650
DigitsB1CurvesCompleteFacMiss
201100053 / 1000.53058.704%
255000053 / 2800.18982.727%

New Calculation Method

Total ECM effort:4.899 GHz-days
Estimated T-Level:2.650
DigitsB1CompleteFacMiss
20110001.71018.092%
25500000.15585.683%
302500000.01099.053%


ECM Summary

B1B2factorcurvesGHz-days
500005000000514.714
50000500000020.185


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-09-14T00:00:00vidmarv4_computers9FD81F4BEC8D7DB30.180
2018-06-23T05:06:53kkmrkkblmbrbkold9FD81F4BEC8D7DB30.180


PRP results:
dateuseridcompidcofactorsres64PRP
2020-08-10T03:45:08CrypticCluecruncher
11864220569489732259199
C90FEC37DB550B1Ano


P-1 factor-bounds graph:
B1 = 3200000, B2 = 112000000 (P-1 stage 2)
B1 = 3200000 (P-1 stage 1)
B1 = 175000, B2 = 4112500 (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)
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106
107
102
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104
105
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1010
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
259
250
260
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2100
Last modified: 2020-08-10T03:45:08+00:00