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
51481Composite, with 3 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
49980843671032.2old
821868584091111446.22008-08-26 20:06:36
1024623336728769196260374317228623667759076944142.92023-04-11 13:36:50
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
403000000555 / 4588
Estimated T-Level: 35.6
TF below 2^113 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified (Factored)2017-09-21Oliver Kruse04AB47F50FB00F9A2013
Verified (Factored)2017-10-13kkmrkkblmbrbk04AB47F50FB00F9A2269413
Verified (Factored)2020-04-17Oliver KruseE2446BBC6F3EA2252343053
Verified2023-04-11JacobZE2446BBC6F3EA22532554953
P-1 factors
DateFactorB1B2
2023-04-1110246233367287691962603743172286236677590769680000000844903806356610
History
DateUserTypeResult
2023-04-11JacobZC-PRP
M51481/4998084367/82186858409111/10246233367287691962603743172286236677590769 : E2446BBC6F3EA225
PRP: Verified
PRP without proof (small exponent)
2023-04-11JacobZF-PM1
Factor: 10246233367287691962603743172286236677590769 / (P-1, B1=680000000, B2=844903806356610)
2021-04-26ATHNF-PP1
Start=2/7, B1=10000000, B2=1000000000
2020-04-17Oliver KruseC-PRP
M51481/4998084367/82186858409111 : E2446BBC6F3EA225
PRP: Verified
PRP without proof (small exponent)
2017-10-13kkmrkkblmbrbkC-PRP
M51481/4998084367/82186858409111 : 04AB47F50FB00F9A
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M51481/4998084367/82186858409111 : 04AB47F50FB00F9A
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M51481/4998084367/82186858409111 : 04AB47F50FB00F9A
PRP without proof (not generated)
2016-09-19kkmrkkblmbrbkNF-PM1
B1=100000000, B2=2000000000, E=12
2008-08-26-Anonymous-F-PM1
Factor: 82186858409111