is 2 8538269 - 1
has 2570276 decimal digits
takes 2.229 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L24CBBFF3D6A9DA2Ddouble-checked
PRP07D47D4B64B0D281PRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272112.005666.6667%10000003303257107.17196.7995%119.177468.9332%2.2665%
PrimeNet2640.416962.5000%3600010000000.03353.2991%0.450463.7372%1.2372%
GPU722686.980964.7059%5500012000000.04442.2900%7.025465.5141%0.8082%
Difference+4+105.0247+1.9608%+945000+329125710+7.1274+4.5095%+112.1521+3.4191%+1.4583%

Known prime factors (1 factor, 129.7 bits, 0.00151937% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
8538269112704386116280811381477331561046339063940129.72865999552202138871111625395944451
73 × 419 × 8011 × 26267 × 192611 × 792299 × 67194961
2021-12-16792299671949612.192e+101.66972.5888

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-07-25T00:00:00ANONYMOUSv4_computers950001543750---0.066--1.672%
2021-11-14T18:41:02onlinegameManual testing244000244000---0.092--0.977%
2021-12-16T04:13:58firejugglerManual testing100000033032571040129.7287.1724.45914.346.800%
2021-12-15T16:40:14onlinegameManual testing4000000040000000---15.14--5.900%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-10-04T00:00:00ANONYMOUSv4_computers21262--0.072--
1998-11-07T00:00:00ANONYMOUSv4_computers21263--0.187--
2000-03-08T00:00:00oerwinv4_computers21264--0.417--
2014-01-29T14:02:00lycornManual testing264265--0.438--
2015-05-25T09:33:00VictordeHollanderManual testing265266--0.875--
2016-01-21T20:45:45snme2pm1Manual testing266267--1.750--
2018-04-01T11:45:09monstManual testing267268--3.501--
2020-01-03T12:08:02TJAOIManual testing268269--7.002--
2021-08-20T16:50:55SRBaseManual testing269270--14.00--
2021-08-27T17:08:26SRBaseManual testing270271--28.01--
2021-10-24T07:47:17SRBaseManual testing271272--56.01--


ECM factoring results:
Total ECM effort:1.191 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000031.191


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-08-17T00:00:00ANONYMOUSv4_computers24CBBFF3D6A9DA2D2.229
2002-10-26T00:00:00Team Prime Ribv4_computers24CBBFF3D6A9DA2D2.229


PRP results:
dateuseridcompidcofactorsres64PRP
2021-12-16T08:09:44firejugglerMaison
1127043861162808113814773315610463390639
07D47D4B64B0D281no


P-1 factor-bounds graph:
B1 = 40000000 (P-1 stage 1)
B1 = 1000000, B2 = 330325710 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 244000 (P-1 stage 1)
B1 = 95000, B2 = 1543750 (P-1 stage 2)
B1 = 95000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-12-16T08:09:44+00:00