Marin Mersenne 2^P-1
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Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

Exponent Range:










MnStatusDetails
342059Composite, with 2 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
684119619.4old
124614665983691443.52008-07-21 09:17:15
ECM
DigitsB1Curves
2550000280 / 280
30250000576 / 640
Estimated T-Level: 29.5
TF below 2^93 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2017-09-23Oliver Kruse1D2173E2AFD4593C2013
Verified2017-10-13Oliver Kruse1D2173E2AFD4593C22620913
Verified2017-12-13ATH1D2173E2AFD4593C215332813
Verified2020-04-18Oliver Kruse862787E4070C10F6230497453
Verified (Factored)2022-05-12Jorge Coveiro862787E4070C10F6115582453
Verified2024-07-13kkmrkkblmbrbk862787E4070C10F6234030753
History
DateUserTypeResult
2024-09-13yuriy_5-1NF-PM1
B1=12000002, B2=1730927578380
2024-07-13Luke DurantCERT
PRP Certification
Proof certified good
2024-07-13kkmrkkblmbrbkC-PRP
M342059/12461466598369/684119 : 862787E4070C10F6
PRP proof power = 5
PRP: Verified
Proof certified good
2023-11-15USAFSSNF-PM1
B1=1350000, B2=5367308100
2022-05-12Jorge CoveiroC-PRP
M342059/684119 : 862787E4070C10F6
PRP proof power = 5
PRP: Verified (Factored)
PRP proof never uploaded
2022-02-06Lisander ViaeneNF-PM1
B1=50000
2020-04-18Oliver KruseC-PRP
M342059/684119/12461466598369 : 862787E4070C10F6
PRP: Verified
PRP without proof (small exponent)
2017-12-13ATHC-PRP
M342059/684119/12461466598369 : 1D2173E2AFD4593C
PRP: Verified
PRP without proof (small exponent)
2017-10-13Oliver KruseC-PRP
M342059/684119/12461466598369 : 1D2173E2AFD4593C
PRP: Verified
PRP without proof (small exponent)
2017-09-23Oliver KruseC-PRP
M342059/684119/12461466598369 : 1D2173E2AFD4593C
PRP: Verified
PRP without proof (not generated)
2017-09-22Oliver KruseC-PRP
M342059/684119/12461466598369 : 1D2173E2AFD4593C
PRP without proof (not generated)
2008-07-21J FeitsmaF
Factor: 12461466598369