Marin Mersenne 2^P-1
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GIMPS
Finding World Record Primes Since 1996

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Exponent Range:










MnStatusDetails
216661Factored
FactorDigitsBitsDate
204701312811134.3old
23141110755131341.12008-07-21 09:14:09
300542829590208470412064.72014-07-28 14:56:06
280577497533178437196015675132994.52021-12-28 12:15:38
ECM
DigitsB1Curves
2550000280 / 280
30250000542 / 640
Estimated T-Level: 29.2 ⓘ
TF below 2^92 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors		ShiftTypeBase
Verified (Factored)2017-09-22Oliver Kruse4EF781BAEDF812B83013
Verified (Factored)2017-10-12kkmrkkblmbrbk4EF781BAEDF812B831099213
Verified (Factored)2020-04-17Oliver Kruse8C61AD57EC9ED6A0310102353
Verified2021-12-28SRJ28778C61AD57EC9ED6A042918753
Verified2023-08-03USAFSS8C61AD57EC9ED6A0418853653
History
DateUserTypeResult
2023-08-03curtiscCERT
PRP Certification
Proof certified good
2023-08-03USAFSSC-PRP
M216661/20470131281/2314111075513/30054282959020847041/28057749753317843719601567513 : 8C61AD57EC9ED6A0
PRP proof power = 5
PRP: Verified
Proof certified good
2022-02-28Oliver KruseNF-PM1
B1=30000000, B2=10070832992220
2021-12-28johnguinCERT
PRP Certification
Proof certified good
2021-12-28SRJ2877C-PRP
M216661/20470131281/2314111075513/30054282959020847041/28057749753317843719601567513 : 8C61AD57EC9ED6A0
PRP proof power = 5
PRP: Verified
Proof certified good
2021-12-28MarkSF-ECM
Factor: 28057749753317843719601567513 / (ECM curve 26, B1=250000, B2=25000000, Sigma=2274171738519277)
2021-05-26Oliver KruseNF-PM1
B1=30000000, B2=3000000000
2021-05-06Dylan DelgadoNF-PM1
B1=15000000, B2=1665000000
2021-05-02Dylan DelgadoNF-PM1
B1=8296000, B2=837896000
2020-04-17Oliver KruseC-PRP
M216661/20470131281/2314111075513/30054282959020847041 : 8C61AD57EC9ED6A0
PRP: Verified (Factored)
PRP without proof (small exponent)
2017-10-12kkmrkkblmbrbkC-PRP
M216661/20470131281/2314111075513/30054282959020847041 : 4EF781BAEDF812B8
PRP: Verified (Factored)
PRP without proof (small exponent)
2017-09-22Oliver KruseC-PRP
M216661/known_factors : 4EF781BAEDF812B8
PRP without proof (not generated)
2014-07-28TJAOIF-ECM
Factor: 30054282959020847041
2008-07-21J FeitsmaF
Factor: 2314111075513