Marin Mersenne 2^P-1
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MnStatusDetails
254783Composite, with 1 known prime factor. Cofactor is composite.
Factored
FactorDigitsBitsDate
8631209623069528455523399862214538120738126.02025-04-01 13:46:58
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000002652 / 4588
Estimated T-Level: 37.9
TF below 2^121 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)David Slowinski123B0
Verified (Factored)Unknown123B0
Verified (Factored)Brian J. Beesley66CC117861C9123B0
Verified (Factored)Eivind Triel66CC117861C9123B249994
Verified (Factored)2001-10-13Brian J. Beesley66CC117861C9123B208052
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2025-04-01Anton Repko072A8C03575F4B7F12984153
History
DateUserTypeResult
2025-04-01ohne-maklerCERT
PRP Certification
Proof certified good
2025-04-01Anton RepkoC-PRP
M254783/86312096230695284555233998622145381207 : 072A8C03575F4B7F
PRP proof power = 5
PRP: Verified
Proof certified good
2025-04-01Anton RepkoF-ECM
Factor: 86312096230695284555233998622145381207 / (ECM curve 826, B1=3000000, B2=22513385895, Edwards Sigma=83274957246152)
2024-03-15-Anonymous-NF-PM1
B1=20000000000, B2=7037856387812250
2023-02-11masserNF-PP1
Start=6/5, B1=30000000, B2=990000000
2023-02-05masserNF-PP1
Start=121/29, B1=30000000, B2=960000000
2023-01-27masserNF-PP1
Start=2/7, B1=30000000, B2=990000000
2022-03-10-Anonymous-NF-PM1
B1=1000000000, B2=202896101968560
2022-01-16Anton RepkoNF
no factor from 2^66 to 2^70
2021-12-05Seth_TrNF-PM1
B1=120000000, B2=57783635910
2021-12-05Seth_TrNF-PM1
B1=120000000
2020-01-01Gordon SpenceNF
no factor from 2^65 to 2^66
2018-03-15Gordon SpenceNF
no factor from 2^64 to 2^65
2016-05-13NumberwangNF-PM1
B1=2849, B2=71225
2016-01-30Gordon SpenceNF
no factor from 2^63 to 2^64
2016-01-30Gordon SpenceNF
no factor from 2^62 to 2^63
2015-08-25NRNF
no factor from 2^61 to 2^62
2015-01-16Denial140NF-PM1
B1=10000000, B2=250000000, E=12
2013-10-14David CampeauNF-PM1
B1=2565000, B2=71820000, E=12
2013-07-23Sid & AndyNF
no factor from 2^60 to 2^61
2012-02-26JossNF-PM1
B1=2445115
2011-02-07JossNF-PM1
B1=2000000
2009-01-24Sturle SundeNF
no factor from 2^59 to 2^60
2009-01-01Sturle SundeNF
no factor from 2^58 to 2^59