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

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Exponent Range:










MnStatusDetails
312941Composite, with 2 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
33352019662435991651.6old
3622407855784592411858.32014-09-15 12:19:00
ECM
DigitsB1Curves
2550000280 / 280
30250000573 / 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
Verified2017-09-24Oliver Kruse0342C7A89CE3966C2013
Verified2017-10-12Oliver Kruse0342C7A89CE3966C223044513
Verified2017-12-11ATH0342C7A89CE3966C217163313
Verified2020-04-18Oliver KruseEBD14D461776B3B4223738753
Verified2024-08-28kkmrkkblmbrbkEBD14D461776B3B4217927453
History
DateUserTypeResult
2024-08-28Luke DurantCERT
PRP Certification
Proof certified good
2024-08-28kkmrkkblmbrbkC-PRP
M312941/3335201966243599/362240785578459241 : EBD14D461776B3B4
PRP proof power = 5
PRP: Verified
Proof certified good
2021-05-05George WoltmanNF-PM1
B1=20000000, B2=1440000000
2020-04-18Oliver KruseC-PRP
M312941/3335201966243599/362240785578459241 : EBD14D461776B3B4
PRP: Verified
PRP without proof (small exponent)
2017-12-11ATHC-PRP
M312941/3335201966243599/362240785578459241 : 0342C7A89CE3966C
PRP: Verified
PRP without proof (small exponent)
2017-10-12Oliver KruseC-PRP
M312941/3335201966243599/362240785578459241 : 0342C7A89CE3966C
PRP: Verified
PRP without proof (small exponent)
2017-09-24Oliver KruseC-PRP
M312941/3335201966243599/362240785578459241 : 0342C7A89CE3966C
PRP: Verified
PRP without proof (not generated)
2017-09-22Oliver KruseC-PRP
M312941/3335201966243599/362240785578459241 : 0342C7A89CE3966C
PRP without proof (not generated)
2014-09-15TJAOIF-ECM
Factor: 362240785578459241 / (ECM curve 12, B1=50000, B2=5000000)