is 2 101027 - 1
has 30413 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267294.118674.6269%100000000065481126410701,152.604225.4544%1,446.722881.0854%6.4586%
PrimeNet2400.000057.5000%1100190000.00008.0790%0.000060.9336%3.4336%
GPU722440.000061.3636%1200180000.00004.1568%0.000062.9697%1.6060%
Difference+23+294.1186+13.2632%+999998800+6548112623070+1,152.6042+21.2976%+1,446.7228+18.1158%+4.8526%

Known prime factors (2 factors, 129.0 bits, 0.12771680% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
101027969253039929.8524797
32 × 13 × 41
-13417.351e-104.680e-88.525e-8
1010277161407525333614252292617783033099.1763544303763020585710895413
3 × 383 × 499 × 44988589 × 137406725167
2021-12-17449885891374067251671.754e+1224.26045.054

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
10102769412160074470751028883325034672701281739129.028
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-11-02T22:05:59kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 969253039
--0.656--11.732%
2021-12-17T21:18:05Seth_TrManual testing100000000065481126410703099.1761,1530.0002,30525.454%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2018-10-21T04:59:57J.R. AllenManual testing252257--0.184--
2022-04-13T17:48:14LordJuliusManual testing2125729.85297.35062e-100.0001.52555e-9
2018-10-21T04:59:57J.R. AllenManual testing257258--0.190--
2022-04-13T17:48:14LordJuliusManual testing257258--0.190--
2018-10-21T04:59:57J.R. AllenManual testing258259--0.380--
2022-04-13T17:48:14LordJuliusManual testing258259--0.380--
2018-10-21T04:59:57J.R. AllenManual testing259260--0.760--
2022-04-13T17:48:14LordJuliusManual testing259260--0.760--
2022-04-13T17:48:14LordJuliusManual testing260261--1.520--
2022-04-13T17:48:14LordJuliusManual testing261262--3.041--
2022-11-07T17:34:57LordJuliusManual testing262263--9.72--
2022-11-07T17:34:57LordJuliusManual testing263264--19.43--
2022-11-07T17:34:57LordJuliusManual testing264265--36.98--
2022-11-07T17:34:57LordJuliusManual testing265266--73.97--
2022-11-07T17:34:57LordJuliusManual testing266267--147.9--


ECM factoring results:
Total ECM effort:12.597 GHz-days
Estimated T-Level:30.756
DigitsB1CompleteFacMiss
201100082.4900.000%
255000012.9390.000%
302500001.54521.330%
3510000000.15185.963%
4030000000.01398.746%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002810.652
250000250000005856.791
10000001000000001115.154


Lucas-Lehmer results:
No L-L results for M101027


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T20:55:09Oliver KruseOllaptop
969253039
EA442566DBF203__no
2017-09-21T21:40:12Oliver KruseManual testing
969253039
EA442566DBF203__no
2017-10-13T09:55:36kkmrkkblmbrbkManual testing
969253039
EA442566DBF203__no
2020-04-17T15:27:59Oliver KruseAddPrpType5
969253039
508B174D3FE0D8__no
2021-12-17T22:33:41SRJ2877LTOS
969253039
716140752533361425229261778303
508B174D3FE0D833no
2022-04-15T06:47:04LordJuliusWhiteBox
969253039
716140752533361425229261778303
508B174D3FE0D833no


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 6548112641070 (P-1 stage 2)
B1 = 1000000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-11-07T17:34:57+00:00