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

PrimeNet Exponent Status

Exponent Range:










MnStatusDetails
3719Composite, with 4 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
4351231722.1old
9490889723.2old
453608763746891445.4old
3597451644207742291026441437462292249150460234392750164.62019-11-19 19:25:50
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000004588 / 4588
45110000009201 / 9201
504400000016550 / 16550
5511000000014628 / 40830
Estimated T-Level: 51.8
TF below 2^167 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified (Factored)2017-09-21Oliver Kruse21829D933A957A5E3013
Verified (Factored)2017-10-12kkmrkkblmbrbk21829D933A957A5E362113
Verified2019-11-20nordi44084632E79806A84204253
Verified2019-11-25ANONYMOUS44084632E79806A84317953
Verified2020-04-17Oliver Kruse44084632E79806A84167453
History
DateUserTypeResult
2024-06-10masserNF-PM1
B1=77000000000, B2=616077002060520
2021-09-09Jinyuan WangNF-PM1
B1=1300000000, B2=13000000000, E=12
2020-04-17Oliver KruseC-PRP
M3719/4351231/9490889/45360876374689/35974516442077422910264414374622922491504602343927 : 44084632E79806A8
PRP: Verified
PRP without proof (small exponent)
2019-11-25ANONYMOUSC-PRP
M3719/4351231/9490889/45360876374689/35974516442077422910264414374622922491504602343927 : 44084632E79806A8
PRP: Verified
PRP without proof (small exponent)
2019-11-20nordiC-PRP
M3719/4351231/9490889/45360876374689/35974516442077422910264414374622922491504602343927 : 44084632E79806A8
PRP: Verified
PRP without proof (small exponent)
2019-11-19Ryan PropperF-ECM
Factor: 35974516442077422910264414374622922491504602343927 / (ECM curve 1, B1=110000000)
2017-10-12kkmrkkblmbrbkC-PRP
M3719/4351231/9490889/45360876374689 : 21829D933A957A5E
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M3719/4351231/9490889/45360876374689 : 21829D933A957A5E
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M3719/4351231/9490889/45360876374689 : 21829D933A957A5E
PRP without proof (not generated)