is 2 8579873 - 1
has 2582800 decimal digits
takes 2.240 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LF815EEF740B6E099double-checked
PRP8ADDBA75AABD1707PRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272111.462466.6667%156000062760555013.50467.8129%124.967069.2710%2.6043%
PrimeNet2640.414862.5000%3600010000000.03353.3016%0.448463.7381%1.2381%
GPU722686.947164.7059%5500012000000.04442.2918%6.991565.5148%0.8089%
Difference+4+104.5154+1.9608%+1505000+626405550+13.4601+5.5211%+117.9755+3.7562%+1.7954%

Known prime factors (1 factor, 123.3 bits, 0.00143734% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
85798731329346150911053329545657002891562589738123.322774688710958223582998056616276
22 × 29 × 43 × 18839 × 37039 × 69877 × 70667 × 45074693
2022-01-1070667450746931.635e+100.95511.7366

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-08-07T17:39:00Carsten Kossendeyleela45000708750---0.031--1.118%
2012-05-15T09:25:00bcp19Toshiba-740Q1000001825000---0.073--1.767%
2022-01-10T17:26:14firejugglerMaison156000062760555038123.32213.504.48127.017.813%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-10-18T00:00:00ANONYMOUSv4_computers21262--0.072--
1999-05-02T00:00:00ANONYMOUSv4_computers21263--0.186--
1999-10-21T00:00:00ANONYMOUSv4_computers21264--0.415--
2013-11-03T06:13:00David CampeauManual testing264265--0.435--
2015-05-25T09:34:00VictordeHollanderManual testing265266--0.871--
2016-01-27T22:10:27snme2pm1Manual testing266267--1.742--
2018-04-05T00:15:14monstManual testing267268--3.484--
2019-12-13T12:43:31TJAOIManual testing268269--6.968--
2021-08-20T17:12:30SRBaseManual testing269270--13.94--
2021-09-01T16:42:03SRBaseManual testing270271--27.87--
2021-11-09T11:41:29Lisander ViaeneManual testing271272--55.74--


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)
1999-12-30T00:00:00ANONYMOUSv4_computersF815EEF740B6E0992.240
2003-02-02T00:00:00ANONYMOUSv4_computersF815EEF740B6E0992.240


PRP results:
dateuseridcompidcofactorsres64PRP
2022-01-11T09:23:53LordJuliusWhiteBox
13293461509110533295456570028915625897
8ADDBA75AABD1707no


P-1 factor-bounds graph:
B1 = 1560000, B2 = 627605550 (P-1 stage 2)
B1 = 1560000 (P-1 stage 1)
B1 = 100000, B2 = 1825000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 45000, B2 = 708750 (P-1 stage 2)
B1 = 45000 (P-1 stage 1)
103
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106
107
103
104
105
106
107
108
109
TF factor-bounds graph:
272
271
270
269
268
267
266
265
264
263
262
250
260
270
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2100
2110
2120
2130
Last modified: 2022-01-11T09:23:53+00:00