Marin Mersenne 2^P-1
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MnStatusDetails
221171Composite, with 1 known prime factor. Cofactor is composite.
Factored
FactorDigitsBitsDate
844704767759084062151259832686.12010-01-18 22:33:52
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
351000000171 / 1566
Estimated T-Level: 30.5
TF below 2^96 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)Unknown26B10
Verified (Factored)John Sweeney7D4EE0BD08E8A6B10
Verified (Factored)Jay R. Hill7D4EE0BD08E8A6B10
Verified (Factored)Mike Gach7D4EE0BD08E8A6B10
Verified (Factored)Eivind Triel7D4EE0BD08E8A6B1110635
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2017-09-22Oliver KruseE6F2E107B0F969AA1013
Verified2017-10-12kkmrkkblmbrbkE6F2E107B0F969AA15461513
Verified2020-04-17Oliver Kruse6B401A39ED21173913519053
Verified2024-02-03Wentao Huang6B401A39ED21173916946453
History
DateUserTypeResult
2024-02-03Naegi MakotoCERT
PRP Certification
Proof certified good
2024-02-03Wentao HuangC-PRP
M221171/84470476775908406215125983 : 6B401A39ED211739
PRP proof power = 5
PRP: Verified
Proof certified good
2022-03-07Oliver KruseNF-PM1
B1=30000000, B2=10070832992220
2022-03-07LordJuliusNF
no factor from 2^57 to 2^58
2022-03-07LordJuliusNF
no factor from 2^54 to 2^55
2021-06-15Oliver KruseNF-PM1
B1=30000000, B2=3000000000
2020-04-17Oliver KruseC-PRP
M221171/84470476775908406215125983 : 6B401A39ED211739
PRP: Verified
PRP without proof (small exponent)
2017-10-12kkmrkkblmbrbkC-PRP
M221171/84470476775908406215125983 : E6F2E107B0F969AA
PRP: Verified
PRP without proof (small exponent)
2017-09-22Oliver KruseC-PRP
M221171/84470476775908406215125983 : E6F2E107B0F969AA
PRP: Verified
PRP without proof (not generated)
2017-09-22Oliver KruseC-PRP
M221171/84470476775908406215125983 : E6F2E107B0F969AA
PRP without proof (not generated)
2010-01-18Sturle SundeF-ECM
Factor: 84470476775908406215125983
2009-01-31Sturle SundeNF
no factor from 2^59 to 2^60
2009-01-01Sturle SundeNF
no factor from 2^58 to 2^59