is 2 2589127 - 1
has 779405 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-LE4DB132EE1890878double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26823.021267.6471%32000001120000000.91808.0849%23.939270.2628%2.6157%
PrimeNet2590.029762.7119%110002000000.00212.6928%0.031863.7160%1.0041%
GPU722630.616465.0794%120002000000.00221.5291%0.618765.6133%0.5340%
Difference+5+22.4048+2.5677%+3188000+111800000+0.9158+6.5559%+23.3206+4.6494%+4.6494%

Known prime factors (1 factor, 71.7 bits, 0.00277027% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
258912739047530095567392223192271.726754067492548017
3 × 71 × 3540222969709
2020-07-19713540222969709201.3219,39936,231

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%
2011-02-21T18:03:00James Heinrichi7-9201750004112500---0.039--3.176%
2016-08-13T18:20:35mikrMSI320000011200000012---0.918--8.085%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-26T00:00:00ANONYMOUSv4_computers21259--0.030--
2016-02-23T16:29:17Mark RoseManual testing259260--0.030--
2009-01-31T06:04:00Sturle Sundebach.ifi260261--0.059--
2012-06-22T17:43:00Sebastian 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--1.443--
2015-11-06T09:16:15ramgeisManual testing265266--2.886--
2017-08-20T12:59:36Gordon SpenceManual testing266267--5.772--
2019-06-03T11:26:13TJAOIManual testing267268--11.54--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.974 GHz-days
Estimated T-Level:2.150
DigitsB1CurvesCompleteFacMiss
201100043 / 1000.43064.910%
255000043 / 2800.15485.740%

New Calculation Method

Total ECM effort:3.974 GHz-days
Estimated T-Level:2.150
DigitsB1CompleteFacMiss
20110001.38724.980%
25500000.12588.218%
302500000.00899.231%


ECM Summary

B1B2factorcurvesGHz-days
500005000000423.882
50000500000010.092


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-02T00:00:00PHeedev4_computersE4DB132EE18908780.180
2018-06-22T17:51:50kkmrkkblmbrbkoldE4DB132EE18908780.180


PRP results:
dateuseridcompidcofactorsres64PRP
2020-07-20T08:33:20Chang Chia-Tchehomura
3904753009556739222319
EE359C0C7A8976E5no
2020-07-21T06:55:38marssystemssystem03
3904753009556739222319
EE359C0C7A8976E5no


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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TF factor-bounds graph:
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Last modified: 2020-07-21T06:55:38+00:00