is 2 101279 - 1
has 30489 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-daysProbability
Actual267293.386874.6269%100000000065472000594001,152.444025.4571%1,445.830881.0861%
Target2440.000061.3636%1200180000.00004.1591%0.000062.9706%
Difference+23+293.3867+13.2632%+999998800+6547200041400+1,152.4440+21.2981%+1,445.8307+18.1156%

Known prime factors (1 factor, 33.5 bits, 0.03311674% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
101279124921569771133.54061672
23 × 13 × 593
-135931.524e-81.437e-71.955e-7

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-11-02kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 12492156977
--0.656--11.734%
2021-12-17Seth_TrManual testing10000000006547200059400-
skipped known factor: 12492156977
--1,152--25.457%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2018-10-25J.R. AllenManual testing252257--0.184--
2022-04-13LordJuliusManual testing2125733.540111.52412e-80.0003.25095e-8
2018-11-02J.R. AllenManual testing257258--0.190--
2022-04-13LordJuliusManual testing257258--0.190--
2018-11-02J.R. AllenManual testing258259--0.379--
2022-04-13LordJuliusManual testing258259--0.379--
2018-11-02J.R. AllenManual testing259260--0.758--
2022-04-13LordJuliusManual testing259260--0.758--
2022-04-13LordJuliusManual testing260261--1.517--
2022-04-13LordJuliusManual testing261262--3.033--
2022-12-08LordJuliusManual testing262263--9.69--
2022-12-08LordJuliusManual testing263264--19.39--


ECM factoring results:
Total ECM effort:12.598 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 M101279


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21Oliver KruseOllaptop
12492156977
5DB6193963BD3D__no
2017-09-21Oliver KruseManual testing
12492156977
5DB6193963BD3D__no
2017-10-13kkmrkkblmbrbkManual testing
12492156977
5DB6193963BD3D__no
2020-04-17Oliver KruseAddPrpType5
12492156977
B964D231CD8070__no
2022-04-15LordJuliusWhiteBox
12492156977
B964D231CD80706Dno
2022-12-08LordJuliusWhiteBox
12492156977
B964D231CD80706Dno


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 6547200059400 (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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106
107
108
109
100
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102
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109
1010
1011
1012
1013
TF factor-bounds graph:
264
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262
261
260
259
258
257
this exponent TF target: 44
TF double-checked to: 67.8
ECM T-Level=30.76 ~= 86-bit
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290
Last modified: 2023-04-26T21:34:10+00:00