is 2 101341 - 1
has 30507 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
Actual267293.207374.6269%100000000067355326338301,185.506825.5000%1,478.714181.0970%
Target2440.000061.3636%12001440000.00004.1596%0.000162.9708%
Difference+23+293.2072+13.2632%+999998800+6735532489830+1,185.5068+21.3403%+1,478.7141+18.1262%

Known prime factors (2 factors, 134.6 bits, 0.13282947% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
10134115371872486086731650.4497584231696
24 × 3 × 67 × 401 × 5881
2014-04-2340158810.00242.254e-62.630e-6
101341216338838305890819854811372684.161106738061744945688248
23 × 1949 × 78350599 × 87372581
2016-10-30783505998737258153,789,6190.25400.5138

1 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-10-30kkmrkkblmbrbkManual testing1000000001000000002684.1610.3220.0000.6447.023%
2021-12-19Seth_TrManual testing10000000006735532633830-
skipped known factor: 1537187248608673
skipped known factor: 21633883830589081985481137
--1,186--25.500%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2018-10-25J.R. AllenManual testing252257--0.184--
2022-04-13LordJuliusManual testing2125750.449160.0020.0000.005
2018-11-02J.R. AllenManual testing257258--0.189--
2022-04-13LordJuliusManual testing257258--0.189--
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--1.516--
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:
No L-L results for M101341


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21Oliver KrusePRP
1537187248608673
21633883830589081985481137
F8D9ED16B6341403no
2017-09-21Oliver KruseManual testing
1537187248608673
21633883830589081985481137
F8D9ED16B6341403no
2017-09-22Oliver KruseManual testing
1537187248608673
21633883830589081985481137
F8D9ED16B6341403no
2017-11-06kkmrkkblmbrbkc4.xlarge
1537187248608673
21633883830589081985481137
F8D9ED16B63414__no
2020-04-17Oliver KruseAddPrpType5
1537187248608673
21633883830589081985481137
6ADFFFF6AE0E80__no
2022-04-15LordJuliusWhiteBox
1537187248608673
21633883830589081985481137
6ADFFFF6AE0E807Ano
2022-10-27LordJuliusWhiteBox
1537187248608673
21633883830589081985481137
6ADFFFF6AE0E807Ano


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 6735532633830 (P-1 stage 2)
B1 = 1000000000 (P-1 stage 1)
B1 = 100000000 (P-1 stage 1)
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1010
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TF factor-bounds graph:
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257
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