Marin Mersenne 2^P-1
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MnStatusDetails
214913Composite, with 3 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
6447391722.6old
13901015560791340.32008-07-21 09:14:06
1709884164355299371857.22014-07-28 15:25:55
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
351000000243 / 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
Verified2017-09-22Oliver KruseF1234E952CD96AF93013
Verified2017-10-12kkmrkkblmbrbkF1234E952CD96AF939359213
Verified2020-04-17Oliver Kruse70E0F2F009A7758134597853
Verified2023-08-03USAFSS70E0F2F009A7758138392153
History
DateUserTypeResult
2023-08-03curtiscCERT
PRP Certification
Proof certified good
2023-08-03USAFSSC-PRP
M214913/6447391/1390101556079/170988416435529937 : 70E0F2F009A77581
PRP proof power = 5
PRP: Verified
Proof certified good
2022-02-25Oliver KruseNF-PM1
B1=30000000, B2=10070832992220
2021-12-03fbaurNF-PP1
Start=2/7, B1=150000000, B2=12600000000
2021-05-24Oliver KruseNF-PM1
B1=30000000, B2=3000000000
2020-04-17Oliver KruseC-PRP
M214913/6447391/1390101556079/170988416435529937 : 70E0F2F009A77581
PRP: Verified
PRP without proof (small exponent)
2017-10-12kkmrkkblmbrbkC-PRP
M214913/6447391/1390101556079/170988416435529937 : F1234E952CD96AF9
PRP: Verified
PRP without proof (small exponent)
2017-09-22Oliver KruseC-PRP
M214913/known_factors : F1234E952CD96AF9
PRP without proof (not generated)
2014-07-28TJAOIF-ECM
Factor: 170988416435529937
2008-07-21J FeitsmaF
Factor: 1390101556079