Marin Mersenne 2^P-1
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MnStatusDetails
8551313Composite, with 1 known prime factor. Cofactor is composite.
Factored
FactorDigitsBitsDate
1814709202277582374812926332787.22025-09-14 04:46:04
ECM
DigitsB1Curves
25500006 / 280
Estimated T-Level: 20.1
TF below 2^62 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)1999-11-17Paul Wrona749E5A2298AB0D7D3087107
Verified (Factored)2002-11-09Ars Technica Team Prime Rib749E5A2298AB0D7D5004022
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2025-09-20Peter_Jakub1CD23DDD1544E35F1430646353
P-1 factors
DateFactorB1B2
2025-09-141814709202277582374812926331700000048933476130
History
DateUserTypeResult
2025-09-20riccardo ubertiCERT
PRP Certification
Proof certified good
2025-09-20Peter_JakubC-PRP
M8551313/181470920227758237481292633 : 1CD23DDD1544E35F
PRP proof power = 8
PRP: Verified
Proof certified good
2025-09-14Ismo LaitelaF-PM1
Factor: 181470920227758237481292633 / (P-1, B1=17000000, B2=48933476130)
2022-01-02firejugglerNF-PM1
B1=1560000, B2=543770370
2021-10-05SRBaseNF
no factor from 2^71 to 2^72
2021-08-28SRBaseNF
no factor from 2^70 to 2^71
2021-08-20SRBaseNF
no factor from 2^69 to 2^70
2020-01-03TJAOINF
no factor from 2^68 to 2^69
2018-04-04monstNF
no factor from 2^67 to 2^68
2016-01-25snme2pm1NF
no factor from 2^66 to 2^67
2015-05-25VictordeHollanderNF
no factor from 2^65 to 2^66
2014-01-27lycornNF
no factor from 2^64 to 2^65
2012-05-13bcp19NF-PM1
B1=100000, B2=1825000, E=6