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:





MnDetails
8821
Composite, with 3 known prime factors. Cofactor is composite.
Trial Factored to 268
TF target 244
Factored
FactorDigitsBitsDate
405767618.6old
33242577669671341.6old
60033330216411342.4old
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000004588 / 4588
45110000009201 / 9201
50440000006927 / 16550
Estimated T-Level: 47.1
TF below 2^151 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusProofDateUserResidueNumber of
known factors
ShiftTypeBase
Verified
No proof (small exponent)
2017-09-21Oliver Kruse4C687D295A7361B03013
Verified
No proof (small exponent)
2017-10-12kkmrkkblmbrbk4C687D295A7361B03736113
Verified
No proof (small exponent)
2020-04-17Oliver KruseB32BE661F7E092DB3166453
Verified
No proof (small exponent)
2024-07-01kkmrkkblmbrbkB32BE661F7E092DB3821253
History
DateUserTypeResult
2025-04-29masserNF-PP1Start=120/61, B1=1000000000, B2=999000000000
2024-07-01kkmrkkblmbrbkC-PRPM8821/3324257766967/405767/6003333021641 : B32BE661F7E092DB
2023-08-05JacobZNF-PM1B1=66000000000, B2=254680416808818000
2021-12-16ANONYMOUSNF-PM1B1=100000000
2020-04-17Oliver KruseC-PRPM8821/405767/3324257766967/6003333021641 : B32BE661F7E092DB
2017-10-12kkmrkkblmbrbkC-PRPM8821/405767/3324257766967/6003333021641 : 4C687D295A7361B0
2017-09-21Oliver KruseC-PRPM8821/405767/3324257766967/6003333021641 : 4C687D295A7361B0
2017-09-21Oliver KruseC-PRPM8821/405767/3324257766967/6003333021641 : 4C687D295A7361B0