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

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Exponent Range:










MnStatusDetails
313133Composite, with 3 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
45091153825.4old
949419257929.82008-07-21 09:16:31
41339837447991341.92008-07-21 09:16:31
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
351000000170 / 1566
Estimated T-Level: 30.5
TF below 2^96 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2017-09-22Oliver KruseDA8D1B3C292288323013
Verified2017-10-12Oliver KruseDA8D1B3C29228832325184913
Verified2017-12-11ATHDA8D1B3C29228832312260013
Verified2020-04-18Oliver Kruse1B759087535FE4D531653653
Verified2024-08-28kkmrkkblmbrbk1B759087535FE4D5330750953
History
DateUserTypeResult
2024-08-29VassiloCERT
PRP Certification
Proof certified good
2024-08-28kkmrkkblmbrbkC-PRP
M313133/45091153/949419257/4133983744799 : 1B759087535FE4D5
PRP proof power = 5
PRP: Verified
Proof certified good
2021-05-08George WoltmanNF-PP1
Start=2/7, B1=10000000, B2=830000000
2021-05-06George WoltmanNF-PM1
B1=20000000, B2=1440000000
2020-04-18Oliver KruseC-PRP
M313133/45091153/949419257/4133983744799 : 1B759087535FE4D5
PRP: Verified
PRP without proof (small exponent)
2017-12-11ATHC-PRP
M313133/45091153/949419257/4133983744799 : DA8D1B3C29228832
PRP: Verified
PRP without proof (small exponent)
2017-10-12Oliver KruseC-PRP
M313133/45091153/4133983744799/949419257 : DA8D1B3C29228832
PRP: Verified
PRP without proof (small exponent)
2017-09-22Oliver KruseC-PRP
M313133/45091153/4133983744799/949419257 : DA8D1B3C29228832
PRP: Verified
PRP without proof (not generated)
2017-09-22Oliver KruseC-PRP
M313133/45091153/4133983744799/949419257 : DA8D1B3C29228832
PRP without proof (not generated)
2008-07-21J FeitsmaF
Factor: 949419257
2008-07-21J FeitsmaF
Factor: 4133983744799