Marin Mersenne 2^P-1
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Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

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Exponent Range:










MnStatusDetails
84131Factored
FactorDigitsBitsDate
168263617.4old
23253975793235149350337145420885389891939127.52022-05-25 22:59:12
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
351000000719 / 1566
Estimated T-Level: 32.3
TF below 2^102 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified (Factored)2017-09-21Oliver Kruse44C33FD566235E711013
Verified (Factored)2017-10-13kkmrkkblmbrbk44C33FD566235E7115819013
Verified (Factored)2020-04-17Oliver KruseC8B806A90179EBE712263853
Verified (Factored)2022-05-12Jorge CoveiroC8B806A90179EBE716122453
Verified2022-05-26aperson1C8B806A90179EBE724248853
Verified2022-05-26George WoltmanC8B806A90179EBE721996753
Verified2022-05-26Pham Cong TaiC8B806A90179EBE724398253
P-1 factors
DateFactorB1B2
2022-05-25232539757932351493503371454208853898919100000000080803341568950
History
DateUserTypeResult
2024-01-20masserNF-PP1
Start=122/53, B1=52000000, B2=2756000000
2024-01-17masserNF-PP1
Start=6/5, B1=26000000, B2=1378000000
2024-01-16masserNF-PP1
Start=2/7, B1=13000000, B2=689000000
2022-05-26Pham Cong TaiC-PRP
M84131/168263/232539757932351493503371454208853898919 : C8B806A90179EBE7
PRP: Verified
PRP without proof (small exponent)
2022-05-26George WoltmanC-PRP
M84131/168263/232539757932351493503371454208853898919 : C8B806A90179EBE7
PRP: Verified
PRP without proof (small exponent)
2022-05-26aperson1C-PRP
M84131/168263/232539757932351493503371454208853898919 : C8B806A90179EBE7
PRP: Verified
PRP without proof (small exponent)
2022-05-25George WoltmanF-PM1
Factor: 232539757932351493503371454208853898919 / (P-1, B1=1000000000, B2=80803341568950)
2022-05-12Jorge CoveiroC-PRP
M84131/168263 : C8B806A90179EBE7
PRP: Verified
PRP without proof (small exponent)
2022-05-06George WoltmanNF-PM1
B1=1000000000
2020-04-17Oliver KruseC-PRP
M84131/168263 : C8B806A90179EBE7
PRP: Verified
PRP without proof (small exponent)
2017-10-13kkmrkkblmbrbkC-PRP
M84131/168263 : 44C33FD566235E71
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M84131/168263 : 44C33FD566235E71
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M84131/168263 : 44C33FD566235E71
PRP without proof (not generated)
2016-11-11kkmrkkblmbrbkNF-PM1
B1=100000000, B2=2000000000, E=12