Marin Mersenne 2^P-1
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MnStatusDetails
209311Composite, with 2 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
41711862833495078891961.92007-08-31 09:59:37
1138026075394586885295142147673096.52019-12-17 11:49:53
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
351000000251 / 1566
Estimated T-Level: 30.8
TF below 2^97 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified (Factored)2017-09-22Oliver Kruse674B28451E9360AD1013
Verified (Factored)2017-10-12kkmrkkblmbrbk674B28451E9360AD120603813
Verified2019-12-18James HeinrichA32ECB8AA90A847823104653
Verified2019-12-19marssystemsA32ECB8AA90A847822874353
Verified2023-08-03USAFSSA32ECB8AA90A847822548953
History
DateUserTypeResult
2023-08-03curtiscCERT
PRP Certification
Proof certified good
2023-08-03USAFSSC-PRP
M209311/4171186283349507889/113802607539458688529514214767 : A32ECB8AA90A8478
PRP proof power = 5
PRP: Verified
Proof certified good
2022-03-07LordJuliusNF
no factor from 2^54 to 2^55
2022-02-15Oliver KruseNF-PM1
B1=30000000, B2=10070832992220
2021-05-14Oliver KruseNF-PM1
B1=30000000, B2=3000000000
2019-12-19marssystemsC-PRP
M209311/4171186283349507889/113802607539458688529514214767 : A32ECB8AA90A8478
PRP: Verified
PRP without proof (small exponent)
2019-12-18James HeinrichC-PRP
M209311/4171186283349507889/113802607539458688529514214767 : A32ECB8AA90A8478
PRP: Verified
PRP without proof (small exponent)
2019-12-17krackerF-ECM
Factor: 113802607539458688529514214767 / (ECM curve 2, B1=250000, B2=25000000, Sigma=8842907630281114)
2017-10-12kkmrkkblmbrbkC-PRP
M209311/4171186283349507889 : 674B28451E9360AD
PRP: Verified
PRP without proof (small exponent)
2017-09-22Oliver KruseC-PRP
M209311/4171186283349507889 : 674B28451E9360AD
PRP: Verified
PRP without proof (not generated)
2017-09-22Oliver KruseC-PRP
M209311/4171186283349507889 : 674B28451E9360AD
PRP without proof (not generated)
2007-08-31Chad DavisF-ECM
Factor: 4171186283349507889