is 2 8639051 - 1
has 2600614 decimal digits
takes 2.256 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L1A775D98BA4B7496double-checked
PRP62898C66ADBB9268PRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272110.698966.6667%2000000182801850038.42399.1397%149.122969.7132%3.0466%
PrimeNet2640.412062.5000%3600010000000.03353.3052%0.445563.7395%1.2395%
GPU722686.899564.7059%5500012000000.04442.2943%6.943965.5157%0.8098%
Difference+4+103.7995+1.9608%+1945000+1826818500+38.3795+6.8454%+142.1789+4.1976%+2.2368%

Known prime factors (1 factor, 148.4 bits, 0.00171789% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
863905147392552430662020515398729520689887746947916945148.40927429258393463599482974883190694144384
27 × 7 × 11 × 37 × 113 × 4157 × 769159 × 856901 × 1386947 × 175164679
2021-12-2813869471751646791.882e+104.10986.7486

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-11-16T00:00:00ANONYMOUSv4_computers4000040000---0.015--0.309%
2012-06-06T02:51:00James Heinrich3930K2050004356250---0.163--2.516%
2021-12-28T00:23:07masserManual testing2000000182801850045148.40938.424.51276.859.140%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-11-14T00:00:00ANONYMOUSv4_computers21262--0.071--
1998-11-21T00:00:00ANONYMOUSv4_computers21263--0.185--
1998-12-13T00:00:00ANONYMOUSv4_computers21263--0.185--
1999-10-15T00:00:00ANONYMOUSv4_computers21264--0.412--
2012-06-03T18:53:00James HeinrichManual testing264265--0.432--
2015-05-25T09:34:00VictordeHollanderManual testing265266--0.865--
2016-02-04T20:52:34snme2pm1Manual testing266267--1.730--
2018-04-22T04:30:11monstManual testing267268--3.460--
2020-05-21T01:20:10chuenkitManual testing268269--6.920--
2021-08-31T20:29:08SRBaseManual testing269270--13.84--
2021-09-01T15:59:02ChuckGPU72_TF270271--27.68--
2021-10-08T19:24:40SRBaseManual testing271272--55.36--


ECM factoring results:
Total ECM effort:2.382 GHz-days
Estimated T-Level:1.154
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
50000500000062.382


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-11-24T00:00:00ebravickv4_computers1A775D98BA4B74962.256
2002-12-09T00:00:00ANONYMOUSv4_computers40C14B6C72D06E__2.256
2003-04-19T00:00:00ANONYMOUSv4_computers1A775D98BA4B74962.256


PRP results:
dateuseridcompidcofactorsres64PRP
2022-01-01T22:01:26Oliver KruseThreadripper-PC
473925524306620205153987295206898877469479169
62898C66ADBB9268no


P-1 factor-bounds graph:
B1 = 2000000, B2 = 1828018500 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 205000, B2 = 4356250 (P-1 stage 2)
B1 = 205000 (P-1 stage 1)
B1 = 40000 (P-1 stage 1)
103
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105
106
107
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
272
271
270
269
268
267
266
265
264
263
262
250
260
270
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290
2100
2110
2120
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Last modified: 2022-01-01T22:01:26+00:00