is 2 8609129 - 1
has 2591607 decimal digits
takes 2.248 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L1F71B13D8196364Bdouble-checked
PRP31AD46D3A0D8EDC2verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272111.083766.6667%10000018500000.07401.7737%111.157667.2579%0.5912%
PrimeNet2640.413462.5000%3600010000000.03353.3034%0.447063.7388%1.2388%
GPU722686.923564.7059%5500012000000.04442.2931%6.967965.5152%0.8093%
Difference+4+104.1602+1.9608%+45000+650000+0.0295-0.5193%+104.1897+1.7427%+1.7427%

Known prime factors (1 factor, 89.2 bits, 0.00103633% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
86091297204271413273009419653167032789.21941840884329140668119
3 × 1907 × 56779 × 275573 × 467417
2021-11-2827557346741716,387,7140.10830.2123

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-12-09T00:00:00ANONYMOUSv4_computers4000040000---0.015--0.309%
2012-05-31T18:40:00Oscar Östlin55000852500---0.037--1.246%
2012-10-17T16:00:00NesowaWork1000001850000---0.074--1.774%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-11-28T15:42:23masserManual testing375000862500027P-12789.2190.383


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-11-07T00:00:00ANONYMOUSv4_computers21262--0.071--
1999-04-02T00:00:00ANONYMOUSv4_computers21263--0.185--
1999-12-30T00:00:00ANONYMOUSv4_computers21264--0.413--
2013-11-04T06:39:00David CampeauManual testing264265--0.434--
2015-05-25T09:34:00VictordeHollanderManual testing265266--0.868--
2016-02-01T20:29:32snme2pm1Manual testing266267--1.736--
2018-04-05T23:45:11monstManual testing267268--3.472--
2019-11-13T13:49:40masserManual testing268269--6.944--
2021-08-20T16:43:38SRBaseManual testing269270--13.89--
2021-08-27T17:16:17SRBaseManual testing270271--27.78--
2021-10-05T16:13:37SRBaseManual testing271272--55.55--


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)
2000-04-12T00:00:00Warpedv4_computers1F71B13D8196364B2.248
2003-01-16T00:00:00ANONYMOUSv4_computers1F71B13D8196364B2.248


PRP results:
dateuseridcompidcofactorsres64PRP
2021-12-04T14:20:50LaurVZero818
720427141327300941965316703
31AD46D3A0D8EDC2no


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 = 55000, B2 = 852500 (P-1 stage 2)
B1 = 55000 (P-1 stage 1)
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: 2021-12-04T14:20:50+00:00