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
207257Composite, with 1 known prime factor. Cofactor is composite.
Factored
FactorDigitsBitsDate
5008651419671238.9old
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
351000000166 / 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 Kruse735CB5DE2CA8C2A91013
Verified2017-10-12kkmrkkblmbrbk735CB5DE2CA8C2A911462313
Verified2020-04-17Oliver KruseE531782FD88EF0BD17981153
Verified2023-08-03USAFSSE531782FD88EF0BD110880853
History
DateUserTypeResult
2023-08-03iwesCERT
PRP Certification
Proof certified good
2023-08-03USAFSSC-PRP
M207257/500865141967 : E531782FD88EF0BD
PRP proof power = 5
PRP: Verified
Proof certified good
2022-02-12Oliver KruseNF-PM1
B1=30000000, B2=10070832992220
2021-05-14Oliver KruseNF-PM1
B1=30000000, B2=3000000000
2021-04-22nordiNF-PP1
Start=2/7, B1=10000000, B2=1000000000
2020-04-17Oliver KruseC-PRP
M207257/500865141967 : E531782FD88EF0BD
PRP: Verified
PRP without proof (small exponent)
2017-10-12kkmrkkblmbrbkC-PRP
M207257/500865141967 : 735CB5DE2CA8C2A9
PRP: Verified
PRP without proof (small exponent)
2017-09-22Oliver KruseC-PRP
M207257/500865141967 : 735CB5DE2CA8C2A9
PRP: Verified
PRP without proof (not generated)
2017-09-22Oliver KruseC-PRP
M207257/500865141967 : 735CB5DE2CA8C2A9
PRP without proof (not generated)