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:










MnStatusDetails
86269Factored
FactorDigitsBitsDate
3937756084069824491858.52009-07-15 00:49:11
11854375872991657271960.0old
1839532630711405840264636341593097.22024-03-26 00:51:20
4298890446845863598500117557863037367938125.02022-05-30 17:31:22
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
351000000554 / 1566
Estimated T-Level: 31.8 ⓘ
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 Kruse3C32E1B164E5D85D2013
Verified (Factored)2017-10-13kkmrkkblmbrbk3C32E1B164E5D85D25591213
Verified (Factored)2020-04-17Oliver Kruse0AAC18324DEE71E621094553
Verified (Factored)2022-05-30George Woltman0AAC18324DEE71E634395953
Verified2024-03-26Hexaflexagon0AAC18324DEE71E648427253
P-1 factors
DateFactorB1B2
2022-05-3042988904468458635985001175578630373679100000000070552596864750
History
DateUserTypeResult
2024-03-26HexaflexagonC-PRP
M86269/1185437587299165727/393775608406982449/42988904468458635985001175578630373679/183953263071140584026463634159 : 0AAC18324DEE71E6
PRP: Verified
PRP without proof (small exponent)
2024-03-26HexaflexagonF-ECM
Factor: 183953263071140584026463634159 / (ECM curve 48, B1=1373270, B2=2480125620, Edwards Sigma=4427839831882905)
2024-01-21masserNF-PP1
Start=110/61, B1=52000000, B2=2756000000
2024-01-18masserNF-PP1
Start=6/5, B1=26000000, B2=1378000000
2024-01-16masserNF-PP1
Start=2/7, B1=13000000, B2=689000000
2022-05-30George WoltmanC-PRP
M86269/393775608406982449/1185437587299165727/42988904468458635985001175578630373679 : 0AAC18324DEE71E6
PRP: Verified
PRP without proof (small exponent)
2022-05-30George WoltmanF-PM1
Factor: 42988904468458635985001175578630373679 / (P-1, B1=1000000000, B2=70552596864750)
2022-05-20George WoltmanNF-PM1
B1=1000000000
2020-04-17Oliver KruseC-PRP
M86269/393775608406982449/1185437587299165727 : 0AAC18324DEE71E6
PRP: Verified
PRP without proof (small exponent)
2017-10-13kkmrkkblmbrbkC-PRP
M86269/393775608406982449/1185437587299165727 : 3C32E1B164E5D85D
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M86269/1185437587299165727/393775608406982449 : 3C32E1B164E5D85D
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M86269/1185437587299165727/393775608406982449 : 3C32E1B164E5D85D
PRP without proof (not generated)
2016-11-18kkmrkkblmbrbkNF-PM1
B1=100000000, B2=2000000000, E=12
2009-07-15Matthias WurtingerF-ECM
Factor: 393775608406982449