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
3947Composite, with 4 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
12772492011030.3old
8199363525737013291859.5old
12886112591515746598084295772890.1old
49629085049383916195072570588394196928939128.5old
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000004588 / 4588
45110000009201 / 9201
504400000016550 / 16550
5511000000013457 / 40830
Estimated T-Level: 51.6
TF below 2^167 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2017-09-21Oliver Kruse4F702948246791BA4013
Verified2017-10-02kkmrkkblmbrbk4F702948246791BA4013
Verified2017-12-07ATH4F702948246791BA4363213
Verified2020-04-17Oliver Kruse3017DDA814519FAE434153
Verified2024-02-03Wentao Huang3017DDA814519FAE4370053
History
DateUserTypeResult
2024-02-03Wentao HuangC-PRP
M3947/1277249201/819936352573701329/1288611259151574659808429577/496290850493839161950725705883941969289 : 3017DDA814519FAE
PRP: Verified
PRP without proof (small exponent)
2023-05-14JacobZNF-PM1
B1=66000000000, B2=5781650744289420
2021-09-09Jinyuan WangNF-PM1
B1=1300000000, B2=13000000000, E=12
2020-04-17Oliver KruseC-PRP
M3947/1277249201/819936352573701329/1288611259151574659808429577/496290850493839161950725705883941969289 : 3017DDA814519FAE
PRP: Verified
PRP without proof (small exponent)
2017-12-07ATHC-PRP
M3947/1277249201/819936352573701329/1288611259151574659808429577/496290850493839161950725705883941969289 : 4F702948246791BA
PRP: Verified
PRP without proof (small exponent)
2017-10-02kkmrkkblmbrbkC-PRP
M3947/1277249201/819936352573701329/1288611259151574659808429577/496290850493839161950725705883941969289 : 4F702948246791BA
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M3947/known_factors : 4F702948246791BA
PRP without proof (not generated)