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
7219Composite, with 1 known prime factor. Cofactor is composite.
Factored
FactorDigitsBitsDate
164362193927.3old
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000004588 / 4588
45110000002350 / 9201
Estimated T-Level: 41.3
TF below 2^132 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2017-09-21Oliver Kruse008DD05AABF09DB71013
Verified2017-10-12kkmrkkblmbrbk008DD05AABF09DB71288113
Verified2020-04-17Oliver Kruse03B3644920ADDC2C1636953
Verified2024-02-03Wentao Huang03B3644920ADDC2C1159653
History
DateUserTypeResult
2024-02-03Wentao HuangC-PRP
M7219/164362193 : 03B3644920ADDC2C
PRP: Verified
PRP without proof (small exponent)
2023-08-26-Anonymous-NF-PM1
B1=33000000000, B2=136594664543487150
2021-12-08onlinegameNF-PM1
B1=1000000000, B2=10000000000, E=12
2020-04-17Oliver KruseC-PRP
M7219/164362193 : 03B3644920ADDC2C
PRP: Verified
PRP without proof (small exponent)
2017-10-12kkmrkkblmbrbkC-PRP
M7219/164362193 : 008DD05AABF09DB7
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M7219/164362193 : 008DD05AABF09DB7
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M7219/164362193 : 008DD05AABF09DB7
PRP without proof (not generated)