Marin Mersenne 2^P-1
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MnStatusDetails
8302027Composite, with 2 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
31124949047179470244492271.42025-03-13 04:02:06
70778120074276093641772272.62013-04-13 19:50:47
ECM
DigitsB1Curves
25500002 / 280
Estimated T-Level: 20.0 ⓘ
TF below 2^62 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)Diogo Martel81F2276A666DE0C96715232
Verified (Factored)1999-10-21Dave Shapiro81F2276A666DE0C94832684
PRP Cofactor
StatusDateUserResidueNumber of
known factors		ShiftTypeBase
Verified (Factored)2018-10-03treborE34CA7E81B40A7441210993453
Verified (Factored)2020-04-14Luigi MorelliE34CA7E81B40A7441278951453
Verified2025-03-14beepE34CA7E81B40A7442162040653
P-1 factors
DateFactorB1B2
2025-03-13311249490471794702444917500006727124250
History
DateUserTypeResult
2025-03-14pilotpskCERT
PRP Certification
Proof certified good
2025-03-14beepC-PRP
M8302027/3112494904717947024449/7077812007427609364177 : E34CA7E81B40A744
PRP proof power = 8
PRP: Verified
Proof certified good
2025-03-13beepF-PM1
Factor: 3112494904717947024449 / (P-1, B1=1750000, B2=6727124250)
2020-04-14Luigi MorelliC-PRP
M8302027/7077812007427609364177 : E34CA7E81B40A744
PRP: Verified (Factored)
PRP without proof (not generated)
2018-10-03treborC-PRP
M8302027/7077812007427609364177 : E34CA7E81B40A744
PRP: Verified (Factored)
PRP without proof (not generated)
2013-04-13S00030F-ECM
Factor: 7077812007427609364177
2012-07-29firejugglerNF-PM1
B1=95000, B2=1662500, E=6