is 2 10400713 - 1
has 3130927 decimal digits
takes 3.398 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LBA3940CA649512FEdouble-checked
PRPC8334DFCAABE4F3APRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27291.948966.6667%15000000769926719101,993.642115.7085%2,085.591071.9028%5.2362%
PrimeNet2640.342262.5000%4500013000000.05373.7668%0.395963.9126%1.4126%
GPU722685.730864.7059%7000016000000.07262.6631%5.803565.6458%0.9399%
Difference+4+86.2180+1.9608%+14930000+76991071910+1,993.5695+13.0454%+2,079.7875+6.2570%+4.2963%

Known prime factors (1 factor, 127.7 bits, 0.00122733% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1040071326723065197584907348359940487576856563939127.65112846746755527677452670764248363
3 × 17 × 41143 × 65447 × 222043 × 1063747 × 396060793
2022-01-1110637473960607931.756e+1010.69719.090

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-02-18T00:00:00ANONYMOUSv4_computers105000735000---0.066--1.430%
2013-06-24T08:11:00NesowaEPC1300002567500---0.124--2.095%
2022-01-11T20:15:21LuminescenceMain150000007699267191039127.6511,9946.7953,98715.709%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-09-22T00:00:00veggiespamv4_computers21264--0.342--
2013-12-03T13:02:00sasakiManual testing264265--0.359--
2015-05-02T12:17:00ThaManual testing265266--0.718--
2015-12-11T23:18:39VictordeHollanderManual testing266267--1.437--
2017-09-25T21:59:02-Anonymous-Manual testing267268--2.874--
2017-11-03T22:51:54ramgeisManual testing268269--5.748--
2020-08-09T17:00:44ViliamFManual testing269270--11.50--
2021-08-12T16:36:36SRBaseManual testing270271--22.99--
2021-09-07T10:42:33Alex KruppaManual testing271272--45.98--


ECM factoring results:
Total ECM effort:0.993 GHz-days
Estimated T-Level:0.385
DigitsB1CompleteFacMiss
20110000.07792.596%
25500000.00799.291%


ECM Summary

B1B2factorcurvesGHz-days
50000500000020.993


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-05-20T00:00:00ANONYMOUSv4_computersBA3940CA649512FE3.398
2004-02-23T00:00:00ANONYMOUSv4_computersBA3940CA649512FE3.398


PRP results:
dateuseridcompidcofactorsres64PRP
2022-01-17T18:44:30Poaotencent-CNsh
267230651975849073483599404875768565639
C8334DFCAABE4F3Ano


P-1 factor-bounds graph:
B1 = 15000000, B2 = 76992671910 (P-1 stage 2)
B1 = 15000000 (P-1 stage 1)
B1 = 130000, B2 = 2567500 (P-1 stage 2)
B1 = 105000, B2 = 735000 (P-1 stage 2)
B1 = 130000 (P-1 stage 1)
B1 = 105000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-01-17T18:44:30+00:00