Marin Mersenne 2^P-1
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MnStatusDetails
4183913Composite, with 2 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
43169640464550861881795407032891.82022-12-13 20:46:06
208994146754634271425121899912994.12022-12-13 20:46:06
ECM
DigitsB1Curves
255000019 / 280
Estimated T-Level: 20.3 ⓘ
TF below 2^63 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)David A McGough6FF022FADE35F4630
Verified (Factored)2000-08-01Ethan Hansen6FF022FADE35F4632222083
Verified (Factored)2000-09-23Ullrich Heinemann6FF022FADE35F4633641344
PRP Cofactor
StatusDateUserResidueNumber of
known factors		ShiftTypeBase
Verified2022-12-19LordJuliusEEAFE8C53E45444F2157335453
P-1 factors
DateFactorB1B2
2022-12-1390222021745931408322005846102690889432491864085053703673620000032702012070
History
DateUserTypeResult
2023-01-11Denial140NF
no factor from 2^71 to 2^72
2022-12-19Will KCERT
PRP Certification
Proof certified good
2022-12-19LordJuliusC-PRP
M4183913/20899414675463427142512189991/4316964046455086188179540703 : EEAFE8C53E45444F
PRP proof power = 7
PRP: Verified
Proof certified good
2022-12-13DRobinsonPEF-PM1
Factors: 20899414675463427142512189991,4316964046455086188179540703 / (P-1, B1=6200000, B2=32702012070)
2022-05-29mikrNF
no factor from 2^70 to 2^71
2021-06-29axnNF
no factor from 2^69 to 2^70
2021-06-21TJAOINF
no factor from 2^68 to 2^69
2018-12-07YxinityNF
no factor from 2^67 to 2^68
2017-12-22YxinityNF
no factor from 2^66 to 2^67
2016-02-23Mark RoseNF
no factor from 2^62 to 2^63
2015-07-10David CampeauNF-PM1
B1=1145000, B2=30915000, E=12
2015-06-05snme2pm1NF
no factor from 2^65 to 2^66
2013-11-02David CampeauNF
no factor from 2^64 to 2^65
2013-10-21JayderNF
no factor from 2^63 to 2^64
2011-05-28GrunwalderGIMPNF
no factor from 2^1 to 2^63
2011-01-19Grant McCrackenNF
no factor from 2^61 to 2^62
2010-09-06markrNF-PM1
B1=95000, B2=1995000, E=6