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
317563Composite, with 1 known prime factor. Cofactor is composite.
Factored
FactorDigitsBitsDate
7621513722.9old
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
351000000206 / 1566
Estimated T-Level: 30.7
TF below 2^97 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2017-09-22Oliver Kruse2587368EB3CE700F1013
Verified2017-10-13Oliver Kruse2587368EB3CE700F116413813
Verified2017-12-11ATH2587368EB3CE700F131212613
Verified2020-04-18Oliver Kruse70BBCB200F56D6E9129385853
Verified2024-08-31kkmrkkblmbrbk70BBCB200F56D6E91346553
History
DateUserTypeResult
2024-08-31Luke DurantCERT
PRP Certification
Proof certified good
2024-08-31kkmrkkblmbrbkC-PRP
M317563/7621513 : 70BBCB200F56D6E9
PRP proof power = 5
PRP: Verified
Proof certified good
2021-05-21George WoltmanNF-PP1
Start=2/7, B1=7500000, B2=592500000
2021-05-21George WoltmanNF-PM1
B1=15000000, B2=1305000000
2020-04-18Oliver KruseC-PRP
M317563/7621513 : 70BBCB200F56D6E9
PRP: Verified
PRP without proof (small exponent)
2017-12-11ATHC-PRP
M317563/7621513 : 2587368EB3CE700F
PRP: Verified
PRP without proof (small exponent)
2017-10-13Oliver KruseC-PRP
M317563/7621513 : 2587368EB3CE700F
PRP: Verified
PRP without proof (small exponent)
2017-09-22Oliver KruseC-PRP
M317563/7621513 : 2587368EB3CE700F
PRP: Verified
PRP without proof (not generated)
2017-09-22Oliver KruseC-PRP
M317563/7621513 : 2587368EB3CE700F
PRP without proof (not generated)