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
3418073Factored
FactorDigitsBitsDate
54347360711032.3old
327588116331134.92008-09-07 19:49:03
1122221727371236.72008-09-07 19:49:03
56332030606731342.42013-12-17 10:41:25
297392039100491444.82008-09-30 14:47:41
10459108291587998437132269.82019-08-12 20:56:05
ECM
DigitsB1Curves
25500003 / 280
Estimated T-Level: 20.1
TF below 2^62 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified (Factored)2017-11-06Oliver KruseC4170D598EC974815333336553
Verified (Factored)2017-12-16kkmrkkblmbrbkC4170D598EC97481591436253
Verified2019-08-13Niels_Mache_NextcloudC4170D598EC97481688175653
P-1 factors
DateFactorB1B2
2019-08-1210459108291587998437133247100
History
DateUserTypeResult
2022-12-02LordJuliusNF
no factor from 2^64 to 2^65
2022-12-02LordJuliusNF
no factor from 2^63 to 2^64
2022-12-02LordJuliusNF
no factor from 2^62 to 2^63
2022-06-10JossNF-PM1
B1=20508438, B2=12354931050
2022-03-20JossNF-PM1
B1=5000000, B2=1002168090
2022-02-12JossNF-PM1
B1=5000000, B2=141372000
2022-01-10JossNF-PM1
B1=4380000, B2=1042764450
2021-12-17JossNF-PM1
B1=4380000, B2=621034050
2021-11-04JossNF
no factor from 2^71 to 2^72
2021-08-14JossNF
no factor from 2^70 to 2^71
2021-08-14JossNF-PM1
B1=3418073, B2=205084380, E=12
2021-08-10JossNF-PM1
B1=3418073, B2=34180730, E=12
2021-08-04JossNF-PM1
B1=3418073
2021-01-23JossNF
no factor from 2^69 to 2^70
2021-01-21JossNF
no factor from 2^68 to 2^69
2021-01-20JossNF
no factor from 2^67 to 2^68
2021-01-20JossNF
no factor from 2^66 to 2^67
2021-01-20JossNF
no factor from 2^65 to 2^66
2020-04-21JossNF-PM1
B1=752004, B2=34180730, E=12
2019-08-13Niels_Mache_NextcloudC-PRP
M3418073/5434736071/32758811633/112222172737/29739203910049/5633203060673/1045910829158799843713 : C4170D598EC97481
PRP: Verified
PRP without proof (not generated)
2019-08-12JossF-PM1
Factor: 1045910829158799843713 / (P-1, B1=324710)
2017-12-16kkmrkkblmbrbkC-PRP
M3418073/5434736071/32758811633/112222172737/29739203910049/5633203060673 : C4170D598EC97481
PRP: Verified
PRP without proof (not generated)
2017-11-06Oliver KruseC-PRP
M3418073/5434736071/32758811633/112222172737/29739203910049/5633203060673 : C4170D598EC97481
PRP: Verified
PRP without proof (not generated)
2013-12-17TJAOIF
Factor: 5633203060673
2008-09-30markrF
Factor: 29739203910049
2008-09-07Will EdgingtonF
Factor: 112222172737
2008-09-07Will EdgingtonF
Factor: 32758811633