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
109829
Composite, with 1 known prime factor. Cofactor is composite.
Trial Factored to 268
TF target 244
Factored
FactorDigitsBitsDate
881604814950610259272066.32008-01-18 03:33:47
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
351000000718 / 1566
Estimated T-Level: 32.3
TF below 2^102 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 KruseAB5E002B4D3FB2E31013
Verified
No proof (small exponent)
2017-10-13kkmrkkblmbrbkAB5E002B4D3FB2E317029213
Verified
No proof (small exponent)
2020-04-17Oliver Kruse6B1CB8BE16BB17DB110321653
Verified
Not Uploaded
2022-04-15LordJulius6B1CB8BE16BB17DB13071053
Verified
Certified Good
2022-11-11LordJulius6B1CB8BE16BB17DB12750353
History
DateUserTypeResult
2026-02-11Jason LynchNF-PM1B1=894224000, B2=137332171046070
2025-12-17ViliamFNF-PM1B1=100000000, B2=2386922057520
2022-11-11curtiscCERT
Proof certified good
2022-11-11LordJuliusC-PRPM109829/88160481495061025927 : 6B1CB8BE16BB17DB
Proof Not Uploaded

Proof Power: 5

2022-05-07LordJuliusNFno factor TF: 61-62
2022-05-07LordJuliusNFno factor TF: 62-63
2022-05-07LordJuliusNFno factor TF: 59-60
2022-05-07LordJuliusNFno factor TF: 60-61
2022-05-07LordJuliusNFno factor TF: 58-59
2022-05-07LordJuliusNFno factor TF: 1-57
2022-05-07LordJuliusNFno factor TF: 57-58
2022-04-15LordJuliusC-PRPM109829/88160481495061025927 : 6B1CB8BE16BB17DB
Proof Not Uploaded

Proof Power: 5

2020-04-17Oliver KruseC-PRPM109829/88160481495061025927 : 6B1CB8BE16BB17DB
2018-10-26J.R. AllenNFno factor TF: 1-57
2017-10-13kkmrkkblmbrbkC-PRPM109829/88160481495061025927 : AB5E002B4D3FB2E3
2017-09-21Oliver KruseC-PRPM109829/88160481495061025927 : AB5E002B4D3FB2E3
2017-09-21Oliver KruseC-PRPM109829/88160481495061025927 : AB5E002B4D3FB2E3
2016-12-10kkmrkkblmbrbkNF-PM1B1=100000000, B2=2000000000, E=12
2008-01-18Steve ScottF-ECMFactor: 88160481495061025927
2006-02-01JossNF-PM1B1=2000000
2003-09-29-anonymous-NF-PM1B1=262144, B2=26214400, E=12
2003-02-02-anonymous-NF-PM1B1=131072, B2=13107200, E=30
2002-07-20-anonymous-NF-PM1B1=65536, B2=6553600, E=12
2002-06-02-anonymous-NF-PM1B1=32768, B2=3276800
2002-05-05-anonymous-NFno factor TF: 1-57
2001-01-08-anonymous-NF-PM1B1=1000000, B2=25000000
2000-12-14-anonymous-NFno factor TF: 1-56
2000-04-12-anonymous-NFno factor TF: 1-54
1999-09-14-anonymous-NFno factor TF: 52-53