is 2 100649 - 1
has 30299 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
Actual267295.223274.6269%1000000000409829158338607,197.825228.1109%7,493.048481.7595%
Target2440.000061.3636%12001440000.00004.1533%0.000162.9683%
Difference+23+295.2232+13.2632%+999998800+40982915689860+7,197.8252+23.9576%+7,493.0483+18.7912%

Known prime factors (2 factors, 90.0 bits, 0.08942240% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1006492385580585031237.7961185099
3 × 31 × 12743
-31127432.756e-72.332e-64.178e-6
10064951991600087927271652.20725828175187
33 × 73 × 13104097
2008-08-2673131040970.00660.00230.0043

1 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-10-31kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 238558058503
skipped known factor: 5199160008792727
--0.656--11.729%
2021-12-16Seth_TrManual testing100000000040982915833860-
skipped known factor: 238558058503
skipped known factor: 5199160008792727
--7,198--28.111%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-08-26ANONYMOUSManual testing??52.207160.0010.0000.001
2018-11-01J.R. AllenManual testing253257--0.179--
2022-04-13LordJuliusManual testing2125737.796122.75587e-70.0005.87813e-7
2022-04-13LordJuliusManual testing2125752.207160.0070.0000.013
2018-11-01J.R. AllenManual testing257258--0.191--
2022-04-13LordJuliusManual testing257258--0.191--
2018-11-01J.R. AllenManual testing258259--0.381--
2022-04-13LordJuliusManual testing258259--0.381--
2018-11-01J.R. AllenManual testing259260--0.763--
2022-04-13LordJuliusManual testing259260--0.763--
2022-04-13LordJuliusManual testing260261--1.526--
2022-04-13LordJuliusManual testing261262--3.052--
2022-10-23LordJuliusManual testing262263--9.75--
2022-10-23LordJuliusManual testing263264--19.51--
2022-10-23LordJuliusManual testing264265--37.12--
2022-10-23LordJuliusManual testing265266--74.25--
2022-10-24LordJuliusManual testing266267--148.5--


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 M100649


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21Oliver KruseOliver-PC
238558058503
5199160008792727
D69E7EDD947299__no
2017-09-21Oliver KruseManual testing
238558058503
5199160008792727
D69E7EDD947299__no
2017-10-13kkmrkkblmbrbkManual testing
238558058503
5199160008792727
D69E7EDD947299__no
2020-04-17Oliver KruseAddPrpType5
238558058503
5199160008792727
A074B763A0899C__no
2022-04-15LordJuliusWhiteBox
238558058503
5199160008792727
A074B763A0899C63no


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 40982915833860 (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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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