is 2 8616319 - 1
has 2593771 decimal digits
takes 2.250 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LE5087575B9B5F0A9double-checked
PRP7FA62B3F4CDC4526verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272110.991066.6667%10000018500000.07401.7740%111.064967.2580%0.5913%
PrimeNet2640.413162.5000%3600010000000.03353.3038%0.446663.7389%1.2389%
GPU722686.917764.7059%5500012000000.04442.2934%6.962165.5153%0.8094%
Difference+4+104.0733+1.9608%+45000+650000+0.0295-0.5194%+104.1028+1.7427%+1.7427%

Known prime factors (1 factor, 80.8 bits, 0.00093729% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
861631920470951082471959189332012580.760118791743216981400
23 × 32 × 52 × 3499 × 3877 × 4864901
2021-12-053877486490132,8480.10170.1874

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-11-16T00:00:00lozcsv4_computers40000520000---0.025--0.987%
2012-01-13T06:08:00bcp19Manual testing1000001850000---0.074--1.774%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-12-05T15:09:25masserManual testing375000862500027P-12580.7600.383


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-10-25T00:00:00ANONYMOUSv4_computers21262--0.071--
1999-04-23T00:00:00ANONYMOUSv4_computers21263--0.185--
1999-10-15T00:00:00ANONYMOUSv4_computers21264--0.413--
2013-11-05T08:17:00David CampeauManual testing264265--0.434--
2015-05-25T09:34:00VictordeHollanderManual testing265266--0.867--
2016-02-02T20:41:57snme2pm1Manual testing266267--1.735--
2018-04-21T08:30:12monstManual testing267268--3.469--
2019-11-20T05:04:55masserManual testing268269--6.938--
2021-08-21T15:36:24SRBaseManual testing269270--13.88--
2021-10-09T06:40:09Sid & AndyManual testing270271--27.75--
2021-10-15T18:23:03SRBaseManual testing271272--55.51--


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)
1999-11-24T00:00:00ANONYMOUSv4_computersE5087575B9B5F0A92.250
2002-11-24T00:00:00lozcsv4_computersE5087575B9B5F0A92.250


PRP results:
dateuseridcompidcofactorsres64PRP
2021-12-11T06:09:45LaurVZero818
2047095108247195918933201
7FA62B3F4CDC4526no


P-1 factor-bounds graph:
B1 = 375000, B2 = 8625000 (P-1 stage 2)
B1 = 375000 (P-1 stage 1)
B1 = 100000, B2 = 1850000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 40000, B2 = 520000 (P-1 stage 2)
B1 = 40000 (P-1 stage 1)
102
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104
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106
102
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: 2021-12-11T06:09:45+00:00