Marin Mersenne 2^P-1
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MnStatusDetails
31193Composite, with 2 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
16185082376467611650.5old
7141011241264937762876872632789.22015-06-18 18:05:20
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000002532 / 4588
Estimated T-Level: 37.8
TF below 2^120 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2017-09-21Oliver KruseD268DA118DDFB3462013
Verified2017-10-02kkmrkkblmbrbkD268DA118DDFB3462013
Verified2017-12-07ATHD268DA118DDFB3462190213
Verified2020-04-17Oliver KruseA2EA2BEDD0D94D5C22898253
Verified2024-07-01kkmrkkblmbrbkA2EA2BEDD0D94D5C2754353
History
DateUserTypeResult
2025-01-06masserNF-PP1
Start=6/5, B1=80000000, B2=79920000000
2024-12-27masserNF-PP1
Start=93/67, B1=80000000, B2=79920000000
2024-12-17masserNF-PP1
Start=2/7, B1=80000000, B2=79920000000
2024-07-01kkmrkkblmbrbkC-PRP
M31193/1618508237646761/714101124126493776287687263 : A2EA2BEDD0D94D5C
PRP: Verified
PRP without proof (small exponent)
2022-10-22nordiNF-PM1
B1=3000000000, B2=920287779501090
2022-09-30nordiNF-PM1
B1=3000000000
2020-04-17Oliver KruseC-PRP
M31193/1618508237646761/714101124126493776287687263 : A2EA2BEDD0D94D5C
PRP: Verified
PRP without proof (small exponent)
2017-12-07ATHC-PRP
M31193/1618508237646761/714101124126493776287687263 : D268DA118DDFB346
PRP: Verified
PRP without proof (small exponent)
2017-10-02kkmrkkblmbrbkC-PRP
M31193/1618508237646761/714101124126493776287687263 : D268DA118DDFB346
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M31193/known_factors : D268DA118DDFB346
PRP without proof (not generated)
2016-10-08kkmrkkblmbrbkNF-PM1
B1=200000000, B2=5000000000, E=12
2015-06-18James HintzF-ECM
Factor: 714101124126493776287687263 / (ECM curve 439, B1=250000, B2=25000000)