Marin Mersenne 2^P-1
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MnStatusDetails
212243Composite, with 1 known prime factor. Cofactor is composite.
Factored
FactorDigitsBitsDate
875764892082331955136656993172072734112.82024-06-10 01:13:33
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
351000000860 / 1566
Estimated T-Level: 32.7
TF below 2^104 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)Chris HaleyA79156D5B105403B0
Verified (Factored)Kevin N. CarpenterA79156D5B105403B0
Verified (Factored)Eivind TrielA79156D5B105403B197786
Verified (Factored)2002-12-25Brian J. BeesleyA79156D5B105403B96531
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2024-06-10lycorn75E3FA196F3443C6115945853
History
DateUserTypeResult
2024-06-10La GüiraCERT
PRP Certification
Proof certified good
2024-06-10lycornC-PRP
M212243/8757648920823319551366569931720727 : 75E3FA196F3443C6
PRP proof power = 5
PRP: Verified
Proof certified good
2024-06-10lycornF-ECM
Factor: 8757648920823319551366569931720727 / (ECM curve 39, B1=1600000, B2=81875458665, Edwards Sigma=5975683213775174)
2023-08-31masserNF-PP1
Start=142/37, B1=30000000, B2=2370000000
2023-02-19masserNF-PP1
Start=6/5, B1=30000000, B2=990000000
2022-06-15Sid & AndyNF-PM1
B1=144000000, B2=6854351794290
2022-03-07LordJuliusNF
no factor from 2^54 to 2^55
2021-12-01fbaurNF-PP1
Start=2/7, B1=150000000, B2=12600000000
2019-12-16Gordon SpenceNF
no factor from 2^65 to 2^66
2019-03-31alexNF-PM1
B1=100000000, B2=2000000000, E=12
2018-02-26Gordon SpenceNF
no factor from 2^64 to 2^65
2016-07-12JossNF-PM1
B1=22809600, B2=821145600, E=12
2016-04-06JossNF-PM1
B1=22809600, B2=410572800, E=12
2016-03-28JossNF-PM1
B1=16422912
2016-03-21JossNF-PM1
B1=13685760
2016-02-25JossNF-PM1
B1=11404800, B2=205286400, E=12
2016-02-23Mark RoseNF
no factor from 2^57 to 2^58
2016-01-18Gordon SpenceNF
no factor from 2^63 to 2^64
2016-01-18Gordon SpenceNF
no factor from 2^62 to 2^63
2015-06-16snme2pm1NF
no factor from 2^61 to 2^62
2013-07-29lycornNF
no factor from 2^60 to 2^61
2009-03-23axnNF-PM1
B1=5000000, B2=200000000, E=12
2009-01-24Sturle SundeNF
no factor from 2^59 to 2^60
2008-12-31Sturle SundeNF
no factor from 2^58 to 2^59