is 2 8605237 - 1
has 2590435 decimal digits
takes 2.247 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L37C7BD9A2B323330double-checked
PRP432C211374E2C4CCverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272111.133966.6667%10000018250000.07341.7675%111.207467.2558%0.5892%
PrimeNet2640.413662.5000%3600010000000.03353.3032%0.447163.7387%1.2387%
GPU722686.926664.7059%5500012000000.04442.2929%6.971065.5151%0.8093%
Difference+4+104.2073+1.9608%+45000+625000+0.0290-0.5254%+104.2363+1.7407%+1.7407%

Known prime factors (1 factor, 104.2 bits, 0.00121116% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
86052372367796879099409114301658348273732104.2231375788301414248738472664
23 × 13 × 73 × 1976243 × 91696987511669
2021-11-251976243916969875116691.625e+101,891,5063,532,805

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-11-09T00:00:00Matthewv4_computers40000420000---0.023--0.925%
2012-02-10T22:39:00bcp19Turion_x21000001825000---0.073--1.768%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-11-25T01:23:43masserManual testing375000862500027P+132104.2230.383


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-10-11T00:00:00ANONYMOUSv4_computers21262--0.071--
1998-12-27T00:00:00ANONYMOUSv4_computers21263--0.185--
2002-11-09T00:00:00Matthewv4_computers21264--0.414--
2013-11-04T06:39:00David CampeauManual testing264265--0.434--
2015-05-25T09:34:00VictordeHollanderManual testing265266--0.868--
2016-02-01T20:29:30snme2pm1Manual testing266267--1.737--
2018-04-25T11:45:10monstManual testing267268--3.474--
2019-11-09T19:20:04masserManual testing268269--6.947--
2021-08-22T16:41:41SRBaseManual testing269270--13.89--
2021-10-09T02:40:08Sid & AndyManual testing270271--27.79--
2021-10-15T18:24:44SRBaseManual testing271272--55.58--


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)
1999-12-30T00:00:00ANONYMOUSv4_computers37C7BD9A2B3233302.247
2003-05-11T00:00:00Scaliv4_computers37C7BD9A2B3233302.247


PRP results:
dateuseridcompidcofactorsres64PRP
2021-11-30T21:58:17Joe S.6700k
23677968790994091143016583482737
432C211374E2C4CCno


P-1 factor-bounds graph:
B1 = 375000, B2 = 8625000 (P+1 stage 2)
B1 = 375000 (P+1 stage 1)
B1 = 100000, B2 = 1825000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 40000, B2 = 420000 (P-1 stage 2)
B1 = 40000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
TF factor-bounds graph:
272
271
270
269
268
267
266
265
264
263
262
250
260
270
280
290
2100
2110
Last modified: 2021-11-30T21:58:17+00:00