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

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MnStatusDetails
1853701Composite, with 1 known prime factor. Cofactor is composite.
Factored
FactorDigitsBitsDate
7127667112592037211604969759791932105.82015-07-19 15:39:33
ECM
DigitsB1Curves
2550000280 / 280
30250000106 / 640
Estimated T-Level: 25.8
TF below 2^81 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)Michael Will348602ED65D9F01C0
Verified (Factored)1998-12-13Louis Towles348602ED65D9F01C379780
Verified (Factored)2015-06-28MadPoo348602ED65D9F01C816933
PRP
StatusDateUserResidueShiftTypeBase
Verified (Factored)2025-09-02Kriesel9C6B67AE90511E81013
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2017-10-04Oliver KruseB0C8323602B85BF51013
Verified2017-11-07kkmrkkblmbrbkB0C8323602B85BF511945913
P-1 factors
DateFactorB1B2
2015-07-1971276671125920372116049697597919278000091760000
History
DateUserTypeResult
2025-09-03ondrejchCERT
PRP Certification
CERT proof power = 6
Proof certified good
2025-09-02KrieselC-PRP
9C6B67AE90511E81
PRP proof power = 6
PRP: Verified (Factored)
Proof certified good
2022-03-09LordJuliusNF
no factor from 2^1 to 2^60
2022-03-08LordJuliusNF
no factor from 2^58 to 2^60
2017-11-07kkmrkkblmbrbkC-PRP
M1853701/71276671125920372116049697597919 : B0C8323602B85BF5
PRP: Verified
PRP without proof (not generated)
2017-10-04Oliver KruseC-PRP
M1853701/71276671125920372116049697597919 : B0C8323602B85BF5
PRP: Verified
PRP without proof (not generated)
2015-07-19mikrF-PM1
Factor: 71276671125920372116049697597919 / (P-1, B1=2780000, B2=91760000, E=12)
2015-06-28MadPooC-LL
348602ED65D9F01C
2015-05-06snme2pm1NF
no factor from 2^64 to 2^65
2015-05-06snme2pm1NF
no factor from 2^63 to 2^64
2014-09-25JossNF-PM1
B1=169250
2014-05-21JossNF-PM1
B1=134625
2011-02-07Carsten KossendeyNF-PM1
B1=100000, B2=1700000, E=6
2011-01-21GrunwalderGIMPNF
no factor from 2^1 to 2^63
2010-04-13Architects CubedNF
no factor from 2^60 to 2^61