Marin Mersenne 2^P-1
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Finding World Record Primes Since 1996

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MnStatusDetails
1304957Composite, with 1 known prime factor. Cofactor is composite.
Factored
FactorDigitsBitsDate
51313501698986172333902831678605373503584142138.62023-09-15 20:09:56
ECM
DigitsB1Curves
2550000280 / 280
30250000105 / 640
Estimated T-Level: 25.8
TF below 2^81 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)Jeff Shimbo748F006F3B4061FC0
Verified (Factored)Cornelius Caesar748F006F3B4061FC0
Verified (Factored)Brian J. Beesley748F006F3B4061FC1201455
Verified (Factored)2016-06-01MadPoo748F006F3B4061FC1050787
PRP
StatusDateUserResidueShiftTypeBase
Verified (Factored)2020-11-06Ethan O'ConnorA32EEF41D98B89FB51297213
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2023-09-16Naegi MakotoA32EEF41D98B89FB155862453
P-1 factors
DateFactorB1B2
2023-09-1551313501698986172333902831678605373503584123800000122240014050
History
DateUserTypeResult
2023-09-19ChelseaCERT
PRP Certification
Proof certified good
2023-09-16Naegi MakotoC-PRP
M1304957/513135016989861723339028316786053735035841 : A32EEF41D98B89FB
PRP proof power = 6
PRP: Verified
Proof certified good
2023-09-15Sid & AndyF-PM1
Factor: 513135016989861723339028316786053735035841 / (P-1, B1=23800000, B2=122240014050)
2023-06-29JossNF-PM1
B1=1304957, B2=13373440080
2023-02-16JossNF-PM1
B1=1304957, B2=4871786010
2022-11-16JossNF-PM1
B1=1304957, B2=1728671490
2020-11-06curtiscCERT
PRP Certification
CERT proof power = 6
Proof certified good
2020-11-06Ethan O'ConnorC-PRP
A32EEF41D98B89FB
PRP proof power = 6
PRP: Verified (Factored)
Proof certified good
2018-10-13JossNF-PM1
B1=1304957, B2=143545270, E=12
2018-07-18ramgeisNF
no factor from 2^67 to 2^68
2018-07-18ramgeisNF
no factor from 2^66 to 2^67
2018-05-15JossNF-PM1
B1=1304957, B2=130495700, E=12
2016-08-27Bruno VictalNF-PM1
B1=2500000, B2=62500000, E=12
2016-08-09Bruno VictalNF-PM1
B1=2500000, B2=62500000, E=12
2016-06-01MadPooC-LL
748F006F3B4061FC
2016-02-23Mark RoseNF
no factor from 2^58 to 2^60
2015-09-29ramgeisNF
no factor from 2^65 to 2^66
2015-04-09snme2pm1NF
no factor from 2^64 to 2^65
2015-04-09snme2pm1NF
no factor from 2^63 to 2^64
2013-11-11David CampeauNF-PM1
B1=1190000, B2=34510000, E=12
2013-01-03dbaughNF
no factor from 2^62 to 2^63
2011-05-09megavinkNF
no factor from 2^61 to 2^62
2009-02-16Sturle SundeNF
no factor from 2^60 to 2^61