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

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MnStatusDetails
7456177Composite, with 2 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
3730871477325852125263426000331752935114.82023-04-30 14:14:07
417141279212506806786103160135646103463340131.62023-04-30 14:14:07
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)1999-07-12C. Cooper / S. Boone0645110B74B5D23A6066070
Verified (Factored)2002-01-28Marc Getty / Phil Fizur0645110B74B5D23A7064447
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2023-04-30retsu97EE48ADBBD0340F2234928053
Verified2023-05-01Naegi Makoto97EE48ADBBD0340F2484932153
P-1 factors
DateFactorB1B2
2023-04-30155630050062916103947312184845408328074972731783850827803758825399764981857310000011007976980
History
DateUserTypeResult
2023-05-01curtiscCERT
PRP Certification
Proof certified good
2023-05-01Naegi MakotoC-PRP
M7456177/37308714773258521252634260003317529/4171412792125068067861031601356461034633 : 97EE48ADBBD0340F
PRP proof power = 8
PRP: Verified
Proof certified good
2023-04-30retsuC-PRP
M7456177/4171412792125068067861031601356461034633/37308714773258521252634260003317529 : 97EE48ADBBD0340F
PRP: Verified
PRP without proof (not generated)
2023-04-30DRobinsonPEF-PM1
Factors: 4171412792125068067861031601356461034633,37308714773258521252634260003317529 / (P-1, B1=3100000, B2=11007976980)
2021-09-28SRBaseNF
no factor from 2^71 to 2^72
2021-08-11SRBaseNF
no factor from 2^70 to 2^71
2019-08-26USAFSSNF-PM1
B1=440000, B2=13530000, E=12
2017-09-21YxinityNF
no factor from 2^69 to 2^70
2017-09-21YxinityNF
no factor from 2^68 to 2^69
2016-06-19america64NF
no factor from 2^67 to 2^68
2016-05-22america64NF
no factor from 2^66 to 2^67
2015-06-21VictordeHollanderNF
no factor from 2^65 to 2^66
2013-11-25David CampeauNF
no factor from 2^64 to 2^65
2013-10-24NesowaNF
no factor from 2^63 to 2^64
2012-07-03NesowaNF-PM1
B1=90000, B2=1665000, E=6