is 2 8423879 - 1
has 2535841 decimal digits
takes 2.200 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L7BA4995E461E3AEBdouble-checked
PRPE752A99366F83FEEverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272113.526566.6667%1023734307120071.00004.6970%114.526568.2323%1.5657%
PrimeNet2640.422562.5000%340009000000.03073.1759%0.453363.6909%1.1909%
GPU722687.075764.7059%5000011000000.04062.1891%7.116365.4785%0.7726%
Difference+4+106.4508+1.9608%+973734+29612007+0.9594+2.5079%+107.4102+2.7538%+2.7538%

Known prime factors (1 factor, 74.7 bits, 0.00088662% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
8423879304289619095712095897932374.6881806113425274224
24 × 11 × 276977 × 37050037
2021-12-0527697737050037566.640.86341.4274

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-10-07T00:00:00Team Prime Ribv4_computers45000675000---0.030--1.099%
2012-07-26T12:21:00bcp19Toshiba-740Q1000001825000---0.073--1.762%
2021-12-05T10:57:56GdSManual testing102373430712007122374.6881.0004.3992.0004.697%
2021-12-05T11:01:40mognutsManual testing60000018000000---0.586--3.980%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-09-27T00:00:00ANONYMOUSv4_computers21261--0.036--
1998-10-04T00:00:00ANONYMOUSv4_computers21262--0.073--
1998-12-21T00:00:00Mark Dv4_computers21263--0.189--
2000-08-10T00:00:00ANONYMOUSv4_computers21264--0.423--
2014-03-18T14:31:00lycornManual testing264265--0.444--
2014-12-03T21:51:00David CampeauManual testing264265--0.444--
2015-05-25T09:22:00VictordeHollanderManual testing265266--0.887--
2016-01-06T20:19:36snme2pm1Manual testing266267--1.774--
2018-03-04T07:15:10monstManual testing267268--3.548--
2020-01-10T12:42:40TJAOIManual testing268269--7.097--
2021-08-19T15:51:53SRBaseManual testing269270--14.19--
2021-08-26T16:04:05SRBaseManual testing270271--28.39--
2021-10-05T16:25:55SRBaseManual testing271272--56.77--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.191 GHz-days
Estimated T-Level:0.150
DigitsB1CurvesCompleteFacMiss
20110003 / 1000.03097.030%
25500003 / 2800.01198.932%

New Calculation Method

Total ECM effort:1.191 GHz-days
Estimated T-Level:0.150
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000031.191


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-08-10T00:00:00ANONYMOUSv4_computers7BA4995E461E3AEB2.200
2002-10-12T00:00:00Team Prime Ribv4_computers7BA4995E461E3AEB2.200


PRP results:
dateuseridcompidcofactorsres64PRP
2021-12-10T14:50:31ATHec2-PRPCF
30428961909571209589793
E752A99366F83FEEno


P-1 factor-bounds graph:
B1 = 1023734, B2 = 30712007 (P-1 stage 2)
B1 = 600000, B2 = 18000000 (P-1 stage 2)
B1 = 1023734 (P-1 stage 1)
B1 = 600000 (P-1 stage 1)
B1 = 100000, B2 = 1825000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 45000, B2 = 675000 (P-1 stage 2)
B1 = 45000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-12-10T14:50:31+00:00