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
318229Composite, with 1 known prime factor. Cofactor is composite.
Factored
FactorDigitsBitsDate
800680186441910631756.2old
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
351000000197 / 1566
Estimated T-Level: 30.6
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 Kruse18301F1C5E84E7CE1013
Verified2017-10-13Oliver Kruse18301F1C5E84E7CE113595713
Verified2017-12-11ATH18301F1C5E84E7CE111555413
Verified2020-04-18Oliver Kruse561DAEB90B519270114079053
Verified2024-08-31kkmrkkblmbrbk561DAEB90B51927012913253
History
DateUserTypeResult
2024-09-01Luke DurantCERT
PRP Certification
Proof certified good
2024-08-31kkmrkkblmbrbkC-PRP
M318229/80068018644191063 : 561DAEB90B519270
PRP proof power = 5
PRP: Verified
Proof certified good
2022-03-07LordJuliusNF
no factor from 2^54 to 2^55
2021-05-26George WoltmanNF-PP1
Start=2/7, B1=7500000, B2=592500000
2021-05-26George WoltmanNF-PM1
B1=15000000, B2=1305000000
2020-04-18Oliver KruseC-PRP
M318229/80068018644191063 : 561DAEB90B519270
PRP: Verified
PRP without proof (small exponent)
2017-12-11ATHC-PRP
M318229/80068018644191063 : 18301F1C5E84E7CE
PRP: Verified
PRP without proof (small exponent)
2017-10-13Oliver KruseC-PRP
M318229/80068018644191063 : 18301F1C5E84E7CE
PRP: Verified
PRP without proof (small exponent)
2017-09-22Oliver KruseC-PRP
M318229/80068018644191063 : 18301F1C5E84E7CE
PRP: Verified
PRP without proof (not generated)
2017-09-22Oliver KruseC-PRP
M318229/80068018644191063 : 18301F1C5E84E7CE
PRP without proof (not generated)