is 2 8624669 - 1
has 2596285 decimal digits
takes 2.252 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LC6C24BE76987F74Cdouble-checked
PRPDC0C0C032BEB7C49verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272110.883566.6667%10000018250000.07341.7682%110.957067.2561%0.5894%
PrimeNet2640.412762.5000%3600010000000.03353.3043%0.446263.7391%1.2391%
GPU722686.911064.7059%5500012000000.04442.2937%6.955465.5154%0.8096%
Difference+4+103.9725+1.9608%+45000+625000+0.0290-0.5256%+104.0015+1.7406%+1.7406%

Known prime factors (1 factor, 87.8 bits, 0.00101772% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
86246692647428174160159321291824012787.77515347998712531224800
25 × 32 × 52 × 86743 × 139301 × 176413
2021-12-141393011764133,681,3000.05350.1073

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-11-09T00:00:00ANONYMOUSv4_computers40000390000---0.022--0.904%
2012-02-15T13:33:00bcp19Turion_x21000001825000---0.073--1.768%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-12-14T20:30:34masserManual testing37500037500027P-12787.7750.216


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-10-29T00:00:00Ethan O'Connorv4_computers21262--0.071--
1999-01-10T00:00:00ANONYMOUSv4_computers21263--0.185--
1999-10-15T00:00:00ANONYMOUSv4_computers21264--0.413--
2014-01-26T23:56:00lycornManual testing264265--0.433--
2015-05-25T09:34:00VictordeHollanderManual testing265266--0.866--
2016-02-03T20:13:18snme2pm1Manual testing266267--1.733--
2018-04-21T12:00:13monstManual testing267268--3.466--
2019-11-18T13:55:07mnd9Manual testing268269--6.932--
2021-08-22T16:46:35SRBaseManual testing269270--13.86--
2021-10-09T14:40:08Sid & AndyManual testing270271--27.73--
2021-10-17T07:25:18SRBaseManual testing271272--55.45--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.382 GHz-days
Estimated T-Level:0.300
DigitsB1CurvesCompleteFacMiss
20110006 / 1000.06094.148%
25500006 / 2800.02197.876%

New Calculation Method

Total ECM effort:2.382 GHz-days
Estimated T-Level:0.300
DigitsB1CompleteFacMiss
20110000.19482.403%
25500000.01798.266%
302500000.00199.892%


ECM Summary

B1B2factorcurvesGHz-days
50000500000062.382


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-12-01T00:00:00ANONYMOUSv4_computersC6C24BE76987F74C2.252
2002-12-25T00:00:00ANONYMOUSv4_computersC6C24BE76987F74C2.252


PRP results:
dateuseridcompidcofactorsres64PRP
2021-12-20T14:47:05mrhx
264742817416015932129182401
DC0C0C032BEB7C49no


P-1 factor-bounds graph:
B1 = 375000 (P-1 stage 1)
B1 = 100000, B2 = 1825000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 40000, B2 = 390000 (P-1 stage 2)
B1 = 40000 (P-1 stage 1)
103
104
105
106
103
104
105
106
107
TF factor-bounds graph:
272
271
270
269
268
267
266
265
264
263
262
250
260
270
280
290
2100
Last modified: 2021-12-20T14:47:05+00:00