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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MnStatusDetails
1756903Composite, with 4 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
537612319929.0old
1815970078871237.42008-07-15 07:46:11
8215559532491239.62008-07-15 07:46:11
350222217937698971931062064103931101.52023-05-08 09:49:27
ECM
DigitsB1Curves
2550000280 / 280
30250000107 / 640
Estimated T-Level: 25.8
TF below 2^81 is very unlikely to find new factors due to ECM effort.
PRP
StatusDateUserResidueShiftTypeBase
Verified (Factored)2025-09-02KrieselF05BC37EB3A6F82E013
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified (Factored)2017-10-03Oliver Kruse64E3B79FA6F1307D3013
Verified (Factored)2017-11-04kkmrkkblmbrbk64E3B79FA6F1307D358988613
Verified2023-05-08Naegi MakotoF05BC37EB3A6F82E433852353
History
DateUserTypeResult
2025-09-03Ryan PropperCERT
PRP Certification
CERT proof power = 6
Proof certified good
2025-09-02KrieselC-PRP
F05BC37EB3A6F82E
PRP proof power = 6
PRP: Verified (Factored)
Proof certified good
2023-05-08wzaCERT
PRP Certification
Proof certified good
2023-05-08Naegi MakotoC-PRP
M1756903/537612319/181597007887/821555953249/3502222179376989719310620641039 : F05BC37EB3A6F82E
PRP proof power = 7
PRP: Verified
Proof certified good
2023-05-08TJAOIF-ECM
Factor: 3502222179376989719310620641039 / (ECM curve 33, B1=250000, B2=40000000, Sigma=6286437866130509)
2017-11-04kkmrkkblmbrbkC-PRP
M1756903/537612319/181597007887/821555953249 : 64E3B79FA6F1307D
PRP: Verified (Factored)
PRP without proof (not generated)
2017-10-03Oliver KruseC-PRP
M1756903/537612319/181597007887/821555953249 : 64E3B79FA6F1307D
PRP: Verified (Factored)
PRP without proof (not generated)
2016-03-16alpertronNF-PM1
B1=500000, B2=15000000, E=12
2008-07-15J FeitsmaF
Factor: 821555953249
2008-07-15J FeitsmaF
Factor: 181597007887