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

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Exponent Range:










MnStatusDetails
46919Composite, with 2 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
390923197425894011755.1old
55261092995340462443019570363276733108.82023-11-08 13:50:46
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
403000000653 / 4588
Estimated T-Level: 35.7
TF below 2^114 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified (Factored)2017-09-21Oliver Kruse3B232D9505FEE9CB1013
Verified (Factored)2017-10-13kkmrkkblmbrbk3B232D9505FEE9CB13754313
Verified (Factored)2020-04-17Oliver KruseA122D181FF74C70812173953
Verified2023-11-08masserA122D181FF74C70822012353
History
DateUserTypeResult
2024-12-08masserNF-PP1
Start=6/5, B1=45000000, B2=44955000000
2024-12-04masserNF-PP1
Start=2/7, B1=45000000, B2=44955000000
2024-11-27masserNF-PP1
Start=136/23, B1=45000000, B2=44955000000
2023-11-08masserC-PRP
M46919/552610929953404624430195703632767/39092319742589401 : A122D181FF74C708
PRP: Verified
PRP without proof (small exponent)
2023-11-08masserF-ECM
Factor: 552610929953404624430195703632767 / (ECM curve 90, B1=2241170, B2=7443190755, Sigma=6760380243472781)
2023-04-30JacobZNF-PM1
B1=760000000, B2=537271789304250
2020-04-17Oliver KruseC-PRP
M46919/39092319742589401 : A122D181FF74C708
PRP: Verified
PRP without proof (small exponent)
2017-10-13kkmrkkblmbrbkC-PRP
M46919/39092319742589401 : 3B232D9505FEE9CB
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M46919/39092319742589401 : 3B232D9505FEE9CB
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M46919/39092319742589401 : 3B232D9505FEE9CB
PRP without proof (not generated)
2016-09-26kkmrkkblmbrbkNF-PM1
B1=100000000, B2=2000000000, E=12