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
84811Factored
FactorDigitsBitsDate
1794255776394575796412167.3old
494664809166658347849376266487516934111.92014-08-26 22:20:25
1936633420750518266928846643683285841228495344143.82022-05-27 18:32:48
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
351000000610 / 1566
Estimated T-Level: 31.9
TF below 2^101 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified (Factored)2017-09-21Oliver Kruse73CD31DD8B82F8172013
Verified (Factored)2017-10-02kkmrkkblmbrbk73CD31DD8B82F8172013
Verified (Factored)2017-12-07ATH73CD31DD8B82F81721314013
Verified (Factored)2020-04-17Oliver KruseB51AF8774774C6EF21661653
Verified2022-05-27George WoltmanB51AF8774774C6EF36148753
P-1 factors
DateFactorB1B2
2022-05-2719366334207505182669288466436832858412284953100000000070552596864750
History
DateUserTypeResult
2024-01-16masserNF-PP1
Start=2/7, B1=13000000, B2=689000000
2022-05-27George WoltmanC-PRP
M84811/179425577639457579641/4946648091666583478493762664875169/19366334207505182669288466436832858412284953 : B51AF8774774C6EF
PRP: Verified
PRP without proof (small exponent)
2022-05-27George WoltmanF-PM1
Factor: 19366334207505182669288466436832858412284953 / (P-1, B1=1000000000, B2=70552596864750)
2022-05-11George WoltmanNF-PM1
B1=1000000000
2020-04-17Oliver KruseC-PRP
M84811/179425577639457579641/4946648091666583478493762664875169 : B51AF8774774C6EF
PRP: Verified
PRP without proof (small exponent)
2017-12-07ATHC-PRP
M84811/179425577639457579641/4946648091666583478493762664875169 : 73CD31DD8B82F817
PRP: Verified
PRP without proof (small exponent)
2017-10-02kkmrkkblmbrbkC-PRP
M84811/179425577639457579641/4946648091666583478493762664875169 : 73CD31DD8B82F817
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M84811/179425577639457579641/4946648091666583478493762664875169 : 73CD31DD8B82F817
PRP without proof (not generated)
2016-11-11kkmrkkblmbrbkNF-PM1
B1=100000000, B2=2000000000, E=12
2014-08-26James HintzF-ECM
Factor: 4946648091666583478493762664875169 / (ECM curve 126, B1=50000, B2=5000000)