Marin Mersenne 2^P-1
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MnStatusDetails
18219437Composite, with 1 known prime factor. Cofactor is composite.
Factored
FactorDigitsBitsDate
2215694814707866431689212477.62024-09-30 23:26:56
ECM
DigitsB1Curves
25500001 / 280
Estimated T-Level: 20.0 ⓘ
TF below 2^61 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)2003-04-19Piotr Marzec746359A17B9F86001998597
Verified (Factored)2007-02-20TheJudger746359A17B9F86001121038
PRP Cofactor
StatusDateUserResidueNumber of
known factors		ShiftTypeBase
Verified2025-07-26MarkSC3406285100A54CD11748016753
P-1 factors
DateFactorB1B2
2024-09-302215694814707866431689211000000573684210
History
DateUserTypeResult
2025-07-26StanCERT
PRP Certification
Proof certified good
2025-07-26MarkSC-PRP
M18219437/221569481470786643168921 : C3406285100A54CD
PRP proof power = 8
PRP: Verified
Proof certified good
2024-09-30Sid & AndyF-PM1
Factor: 221569481470786643168921 / (P-1, B1=1000000, B2=573684210)
2021-11-19-Anonymous-NF
no factor from 2^72 to 2^73
2021-10-08-Anonymous-NF
no factor from 2^71 to 2^72
2021-09-11SRBaseNF
no factor from 2^70 to 2^71
2020-02-29lycornNF
no factor from 2^69 to 2^70
2017-09-12ramgeisNF
no factor from 2^68 to 2^69
2017-09-12ramgeisNF
no factor from 2^67 to 2^68
2017-03-01ThaNF-PM1
B1=350000, B2=7000000, E=6
2014-08-14NesowaNF
no factor from 2^66 to 2^67