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
9791Composite, with 4 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
19583514.3old
536076833929.0old
12776613493691340.2old
303914808852385911754.8old
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000004588 / 4588
45110000009201 / 9201
50440000006718 / 16550
Estimated T-Level: 47.0
TF below 2^151 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2017-09-21Oliver KruseC3F4B5B3321B28BE4013
Verified2017-10-02kkmrkkblmbrbkC3F4B5B3321B28BE4013
Verified2017-12-07ATHC3F4B5B3321B28BE430113
Verified2020-04-17Oliver Kruse1639C80669FD1DAD4516553
Verified (Factored)2022-05-12Jorge Coveiro1639C80669FD1DAD1250253
Verified2024-07-01kkmrkkblmbrbk1639C80669FD1DAD4883153
History
DateUserTypeResult
2024-07-01kkmrkkblmbrbkC-PRP
M9791/1277661349369/19583/30391480885238591/536076833 : 1639C80669FD1DAD
PRP: Verified
PRP without proof (small exponent)
2023-06-16JacobZNF-PM1
B1=59000000000, B2=250256095608669150
2022-05-12Jorge CoveiroC-PRP
M9791/19583 : 1639C80669FD1DAD
PRP: Verified
PRP without proof (small exponent)
2021-12-14Lisander ViaeneNF-PM1
B1=101101101, B2=26132804888190
2021-12-14Lisander ViaeneNF-PM1
B1=1000000, B2=1086971255370
2020-04-17Oliver KruseC-PRP
M9791/19583/536076833/1277661349369/30391480885238591 : 1639C80669FD1DAD
PRP: Verified
PRP without proof (small exponent)
2017-12-07ATHC-PRP
M9791/19583/536076833/1277661349369/30391480885238591 : C3F4B5B3321B28BE
PRP: Verified
PRP without proof (small exponent)
2017-10-02kkmrkkblmbrbkC-PRP
M9791/19583/536076833/1277661349369/30391480885238591 : C3F4B5B3321B28BE
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M9791/known_factors : C3F4B5B3321B28BE
PRP without proof (not generated)