is 2 101347 - 1
has 30509 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
Actual267293.189974.6269%100000000067355326338301,185.506825.5001%1,478.696781.0970%
Target2440.000061.3636%12001440000.00004.1597%0.000162.9708%
Difference+23+293.1899+13.2632%+999998800+6735532489830+1,185.5068+21.3404%+1,478.6967+18.1262%

Known prime factors (1 factor, 53.1 bits, 0.05234998% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
10134793580674921512411653.05546168448460
22 × 3 × 5 × 19 × 79 × 512641
2014-04-23795126410.01979.024e-50.0002

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-11-02kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 9358067492151241
--0.656--11.735%
2021-12-18Seth_TrManual testing10000000006735532633830-
skipped known factor: 9358067492151241
--1,186--25.500%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2022-04-13LordJuliusManual testing2125753.055160.0200.0000.040
2022-04-13LordJuliusManual testing257258--0.189--
2022-04-13LordJuliusManual testing258259--0.379--
2022-04-13LordJuliusManual testing259260--0.758--
2022-04-13LordJuliusManual testing260261--1.515--
2022-04-13LordJuliusManual testing261262--3.031--


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:
dateuseridcompidres64spent (GHz-days)
2004-02-07ANONYMOUSv4_computersCB255CAC7D250D__0.000


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21Oliver KruseOliver-PC
9358067492151241
73E81857A1AD7E__no
2017-09-21Oliver KruseManual testing
9358067492151241
73E81857A1AD7E__no
2017-10-13kkmrkkblmbrbkManual testing
9358067492151241
73E81857A1AD7E__no
2020-04-17Oliver KruseAddPrpType5
9358067492151241
E7C9A43AA4EC60__no
2022-04-15LordJuliusWhiteBox
9358067492151241
E7C9A43AA4EC604Eno
2022-10-27LordJuliusWhiteBox
9358067492151241
E7C9A43AA4EC604Eno


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 6735532633830 (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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this exponent TF target: 44
TF double-checked to: 67.8
ECM T-Level=30.76 ~= 86-bit
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Last modified: 2023-06-05T21:50:05+00:00