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

PrimeNet Exponent Status

Exponent Range:










MnStatusDetails
315223Composite, with 1 known prime factor. Cofactor is composite.
Factored
FactorDigitsBitsDate
2245623434171237.7old
ECM
DigitsB1Curves
2550000280 / 280
30250000584 / 640
Estimated T-Level: 29.6
TF below 2^93 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2017-09-22Oliver KruseDAF61631F1FDA6A01013
Verified2017-10-12Oliver KruseDAF61631F1FDA6A0125067413
Verified2017-12-11ATHDAF61631F1FDA6A0125731113
Verified2020-04-18Oliver Kruse85C205814550085D129277153
Verified2024-08-30kkmrkkblmbrbk85C205814550085D113893153
History
DateUserTypeResult
2024-08-30Luke DurantCERT
PRP Certification
Proof certified good
2024-08-30kkmrkkblmbrbkC-PRP
M315223/224562343417 : 85C205814550085D
PRP proof power = 5
PRP: Verified
Proof certified good
2021-05-14George WoltmanNF-PP1
Start=2/7, B1=7500000, B2=592500000
2021-05-14George WoltmanNF-PM1
B1=15000000, B2=1305000000
2020-04-18Oliver KruseC-PRP
M315223/224562343417 : 85C205814550085D
PRP: Verified
PRP without proof (small exponent)
2017-12-11ATHC-PRP
M315223/224562343417 : DAF61631F1FDA6A0
PRP: Verified
PRP without proof (small exponent)
2017-10-12Oliver KruseC-PRP
M315223/224562343417 : DAF61631F1FDA6A0
PRP: Verified
PRP without proof (small exponent)
2017-09-22Oliver KruseC-PRP
M315223/224562343417 : DAF61631F1FDA6A0
PRP: Verified
PRP without proof (not generated)
2017-09-22Oliver KruseC-PRP
M315223/224562343417 : DAF61631F1FDA6A0
PRP without proof (not generated)