is 2 100559 - 1
has 30272 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
Actual267295.487474.6269%100000000065515158508801,153.201725.4496%1,448.689181.0842%
Target2440.000061.3636%12001440000.00004.1524%0.000162.9680%
Difference+23+295.4874+13.2632%+999998800+6551515706880+1,153.2016+21.2972%+1,448.6890+18.1162%

Known prime factors (2 factors, 47.0 bits, 0.04672405% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
100559201119617.6181
1
-111.737e-133.222e-96.558e-9
100559692650393929.3683444
22 × 3 × 7 × 41
2008-07-267411.241e-92.852e-84.590e-8

1 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-10-31kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 201119
skipped known factor: 692650393
--0.656--11.728%
2021-12-17Seth_TrManual testing10000000006551515850880-
skipped known factor: 201119
skipped known factor: 692650393
--1,153--25.450%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-26J FeitsmaManual testing??29.36895.30193e-100.0001.13185e-9
2018-11-01J.R. AllenManual testing252257--0.185--
2022-04-13LordJuliusManual testing2125717.61861.73676e-130.0003.70763e-13
2022-04-13LordJuliusManual testing2125746.985150.0000.0000.000
2022-04-13LordJuliusManual testing2125729.36891.24143e-90.0002.65018e-9
2018-11-01J.R. AllenManual testing257258--0.191--
2022-04-13LordJuliusManual testing257258--0.191--
2018-11-01J.R. AllenManual testing258259--0.382--
2022-04-13LordJuliusManual testing258259--0.382--
2018-11-01J.R. AllenManual testing259260--0.764--
2022-04-13LordJuliusManual testing259260--0.764--
2022-04-13LordJuliusManual testing260261--1.527--
2022-04-13LordJuliusManual testing261262--3.055--
2022-10-23LordJuliusManual testing262263--9.76--
2022-10-23LordJuliusManual testing263264--19.52--
2022-10-23LordJuliusManual testing264265--37.16--
2022-10-23LordJuliusManual testing265266--74.31--
2022-10-23LordJuliusManual testing266267--148.6--


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
250000250000005856.790
10000001000000001145.293


Lucas-Lehmer results:
No L-L results for M100559


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21Oliver KruseOliver-PC
201119
692650393
7DCBF2DF3364E3__no
2017-09-21Oliver KruseManual testing
201119
692650393
7DCBF2DF3364E3__no
2017-10-13kkmrkkblmbrbkManual testing
201119
692650393
7DCBF2DF3364E3__no
2020-04-17Oliver KruseAddPrpType5
201119
692650393
2E74D6612D0D78__no
2022-04-15LordJuliusWhiteBox
201119
692650393
2E74D6612D0D7840no
2022-05-12Jorge CoveiroManual testing
201119
2E74D6612D0D7840no


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 6551515850880 (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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109
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TF factor-bounds graph:
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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