Marin Mersenne 2^P-1
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MnStatusDetails
206369Composite, with 2 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
21242058101977042785432270.82008-10-23 01:50:53
22236693959065897291272270.92014-12-12 13:36:27
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
351000000254 / 1566
Estimated T-Level: 30.8 ⓘ
TF below 2^97 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)Chris Haley75EC3F9B7EFD932A0
Verified (Factored)Mike O'Brien75EC3F9B7EFD932A0
Verified (Factored)Eivind Triel75EC3F9B7EFD932A77227
Verified (Factored)2002-12-16Brian J. Beesley75EC3F9B7EFD932A192987
PRP Cofactor
StatusDateUserResidueNumber of
known factors		ShiftTypeBase
Verified2017-09-22Oliver Kruse10B5D56545E81E6B2013
Verified2017-10-12kkmrkkblmbrbk10B5D56545E81E6B26161513
Verified2020-04-17Oliver KruseA23E2552FD5147EC218380053
Verified2023-08-03USAFSSA23E2552FD5147EC214678953
History
DateUserTypeResult
2023-08-03curtiscCERT
PRP Certification
Proof certified good
2023-08-03USAFSSC-PRP
M206369/2124205810197704278543/2223669395906589729127 : A23E2552FD5147EC
PRP proof power = 5
PRP: Verified
Proof certified good
2022-03-07LordJuliusNF
no factor from 2^54 to 2^55
2022-02-10Oliver KruseNF-PM1
B1=30000000, B2=10070832992220
2021-05-10Oliver KruseNF-PM1
B1=30000000, B2=3000000000
2020-04-17Oliver KruseC-PRP
M206369/2124205810197704278543/2223669395906589729127 : A23E2552FD5147EC
PRP: Verified
PRP without proof (small exponent)
2017-10-12kkmrkkblmbrbkC-PRP
M206369/2124205810197704278543/2223669395906589729127 : 10B5D56545E81E6B
PRP: Verified
PRP without proof (small exponent)
2017-09-22Oliver KruseC-PRP
M206369/known_factors : 10B5D56545E81E6B
PRP without proof (not generated)
2014-12-12TJAOIF-ECM
Factor: 2223669395906589729127
2008-10-23Sturle SundeF-ECM
Factor: 2124205810197704278543