is 2 100811 - 1
has 30348 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
Actual267294.748874.6269%100000000065882729612701,159.654625.4609%1,454.403381.0871%
Target2440.000061.3636%12001440000.00004.1548%0.000162.9689%
Difference+23+294.7487+13.2632%+999998800+6588272817270+1,159.6546+21.3061%+1,454.4033+18.1182%

Known prime factors (2 factors, 47.6 bits, 0.04723159% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
100811201623617.6211
1
-111.732e-133.222e-96.558e-9
10081110687982231029.9935301
32 × 19 × 31
2008-07-2619318.140e-106.333e-81.246e-7

1 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-10-31kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 201623
skipped known factor: 1068798223
--0.656--11.730%
2021-12-16Seth_TrManual testing10000000006588272961270-
skipped known factor: 201623
skipped known factor: 1068798223
--1,160--25.461%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-26J FeitsmaManual testing??29.993101.04576e-100.0002.23185e-10
2018-10-25J.R. AllenManual testing252257--0.184--
2022-04-13LordJuliusManual testing2125729.993108.14032e-100.0001.73730e-9
2022-04-13LordJuliusManual testing2125717.62161.73242e-130.0003.69732e-13
2022-04-13LordJuliusManual testing2125747.615150.0000.0000.001
2018-11-01J.R. AllenManual testing257258--0.190--
2022-04-13LordJuliusManual testing257258--0.190--
2018-11-01J.R. AllenManual testing258259--0.381--
2022-04-13LordJuliusManual testing258259--0.381--
2018-11-01J.R. AllenManual testing259260--0.762--
2022-04-13LordJuliusManual testing259260--0.762--
2018-11-29ANONYMOUSManual testing260261--1.524--
2022-04-13LordJuliusManual testing260261--1.524--
2018-11-29ANONYMOUSManual testing261262--3.047--
2022-04-13LordJuliusManual testing261262--3.047--
2022-10-25LordJuliusManual testing262263--9.74--
2022-10-25LordJuliusManual testing263264--19.48--
2022-10-25LordJuliusManual testing264265--37.06--
2022-10-25LordJuliusManual testing265266--74.13--
2022-10-25LordJuliusManual testing266267--148.3--


ECM factoring results:
Total ECM effort:12.736 GHz-days
Estimated T-Level:30.766
DigitsB1CompleteFacMiss
201100082.9900.000%
255000013.0390.000%
302500001.56121.003%
3510000000.15385.797%
4030000000.01398.726%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002810.652
250000250000005856.791
10000001000000001145.293


Lucas-Lehmer results:
No L-L results for M100811


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21Oliver KruseOliver-PC
201623
1068798223
70EF5DED395202__no
2017-09-21Oliver KruseManual testing
201623
1068798223
70EF5DED395202__no
2017-10-13kkmrkkblmbrbkManual testing
201623
1068798223
70EF5DED395202__no
2020-04-17Oliver KruseAddPrpType5
201623
1068798223
44DA8F0C5BF676__no
2022-04-15LordJuliusWhiteBox
201623
1068798223
44DA8F0C5BF6762Eno
2022-05-12Jorge CoveiroManual testing
201623
44DA8F0C5BF6762Eno


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 6588272961270 (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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107
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109
100
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109
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1013
TF factor-bounds graph:
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264
263
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261
260
259
258
257
2
this exponent TF target: 44
TF double-checked to: 67.8
ECM T-Level=30.77 ~= 86-bit
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Last modified: 2023-06-05T21:50:05+00:00