Marin Mersenne 2^P-1
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MnStatusDetails
293453Composite, with 4 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
11697089871064811650.1old
1835570277705328625174195112787.22020-06-30 10:48:40
160736989233838086436297432072993.72016-11-10 13:32:32
1974575962780847408280924657913097.32024-11-22 20:41:14
ECM
DigitsB1Curves
2550000280 / 280
30250000466 / 640
Estimated T-Level: 28.6
TF below 2^90 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified (Factored)2017-09-22Oliver KruseD1D58EED458EC70E2013
Verified (Factored)2017-10-12Oliver KruseD1D58EED458EC70E225687413
Verified (Factored)2017-11-06kkmrkkblmbrbkD1D58EED458EC70E25496913
Verified (Factored)2020-04-17Oliver Kruse0782D51B2053E424224359853
Verified (Factored)2020-07-01Klaus Nordmann0782D51B2053E424317731053
Verified2024-11-22yuriy5-10782D51B2053E424414428753
P-1 factors
DateFactorB1B2
2016-11-1016073698923383808643629743207500000040000000
2024-11-22197457596278084740828092465791269976766584886237930
History
DateUserTypeResult
2024-11-23XyzzyCERT
PRP Certification
Proof certified good
2024-11-22yuriy5-1C-PRP
M293453/1169708987106481/16073698923383808643629743207/183557027770532862517419511/197457596278084740828092465791 : 0782D51B2053E424
PRP proof power = 5
PRP: Verified
Proof certified good
2024-11-22yuriy5-1F-PM1
Factor: 197457596278084740828092465791 / (P-1, B1=26997676, B2=6584886237930)
2020-07-01Klaus NordmannC-PRP
M293453/1169708987106481/16073698923383808643629743207/183557027770532862517419511 : 0782D51B2053E424
PRP: Verified (Factored)
PRP without proof (small exponent)
2020-06-30_p95holder_F-ECM
Factor: 183557027770532862517419511 / (ECM curve 1, B1=250000, B2=25000000)
2020-04-17Oliver KruseC-PRP
M293453/1169708987106481/16073698923383808643629743207 : 0782D51B2053E424
PRP: Verified (Factored)
PRP without proof (small exponent)
2017-11-06kkmrkkblmbrbkC-PRP
M293453/1169708987106481/16073698923383808643629743207 : D1D58EED458EC70E
PRP: Verified (Factored)
PRP without proof (small exponent)
2017-10-12Oliver KruseC-PRP
M293453/1169708987106481/16073698923383808643629743207 : D1D58EED458EC70E
PRP: Verified (Factored)
PRP without proof (small exponent)
2017-09-22Oliver KruseC-PRP
M293453/known_factors : D1D58EED458EC70E
PRP without proof (not generated)
2016-11-10kkmrkkblmbrbkF-PM1
Factor: 16073698923383808643629743207 / (P-1, B1=5000000, B2=40000000, E=12)