Marin Mersenne 2^P-1
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Finding World Record Primes Since 1996

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Exponent Range:










MnStatusDetails
34061Composite, with 2 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
204367617.6old
7735818877664801608618431366923121046720741135.82022-08-01 02:27:13
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000001923 / 4588
Estimated T-Level: 37.1
TF below 2^118 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified (Factored)2017-09-21Oliver KruseC87C47A4302AC5CE1013
Verified (Factored)2017-10-12kkmrkkblmbrbkC87C47A4302AC5CE1478013
Verified (Factored)2020-04-17Oliver Kruse01AD2269DE1DE3111595553
Verified2022-08-01LordJulius01AD2269DE1DE3112524453
Verified2022-08-01LordJulius01AD2269DE1DE31122725853
P-1 factors
DateFactorB1B2
2022-08-01773581887766480160861843136692312104672072000000000404901940352910
History
DateUserTypeResult
2024-12-26masserNF-PP1
Start=6/5, B1=60000000, B2=59940000000
2024-12-22masserNF-PP1
Start=142/43, B1=60000000, B2=59940000000
2024-12-14masserNF-PP1
Start=2/7, B1=60000000, B2=59940000000
2022-08-01LordJuliusC-PRP
M34061/204367/77358188776648016086184313669231210467207 : 01AD2269DE1DE311
PRP: Verified
PRP without proof (small exponent)
2022-08-01LordJuliusC-PRP
M34061/204367/77358188776648016086184313669231210467207 : 01AD2269DE1DE311
PRP: Verified
PRP without proof (small exponent)
2022-08-01nordiF-PM1
Factor: 77358188776648016086184313669231210467207 / (P-1, B1=2000000000, B2=404901940352910)
2022-06-13nordiNF-PM1
B1=2000000000
2020-04-17Oliver KruseC-PRP
M34061/204367 : 01AD2269DE1DE311
PRP: Verified
PRP without proof (small exponent)
2017-10-12kkmrkkblmbrbkC-PRP
M34061/204367 : C87C47A4302AC5CE
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M34061/204367 : C87C47A4302AC5CE
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M34061/204367 : C87C47A4302AC5CE
PRP without proof (not generated)
2016-10-21kkmrkkblmbrbkNF-PM1
B1=200000000, B2=5000000000, E=12