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

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MnStatusDetails
17837Composite, with 5 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
354135799928.4old
128145081970811443.52008-08-26 19:58:51
48347139647667671652.12008-08-29 02:24:39
278182922351914499868888659292994.52009-05-31 18:07:56
10236740266734509056124314447655496768739126.32023-04-13 18:48:07
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000001680 / 4588
Estimated T-Level: 36.8
TF below 2^117 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified (Factored)2017-09-21Oliver Kruse7C123A743157BE9D4013
Verified (Factored)2017-10-02kkmrkkblmbrbk7C123A743157BE9D4013
Verified (Factored)2017-12-07ATH7C123A743157BE9D4818813
Verified (Factored)2020-04-17Oliver KruseD07052171F571B5C4310053
Verified2023-04-13JacobZD07052171F571B5C5248253
P-1 factors
DateFactorB1B2
2023-04-13102367402667345090561243144476554967687590000000016484172846891750
History
DateUserTypeResult
2025-01-07masserNF-PP1
Start=6/5, B1=132000000, B2=131868000000
2024-12-31masserNF-PP1
Start=73/67, B1=132000000, B2=131868000000
2024-12-20masserNF-PP1
Start=2/7, B1=132000000, B2=131868000000
2023-04-13JacobZC-PRP
M17837/354135799/12814508197081/4834713964766767/27818292235191449986888865929/102367402667345090561243144476554967687 : D07052171F571B5C
PRP: Verified
PRP without proof (small exponent)
2023-04-13JacobZF-PM1
Factor: 102367402667345090561243144476554967687 / (P-1, B1=5900000000, B2=16484172846891750)
2022-02-06Lisander ViaeneNF-PM1
B1=50000
2020-04-17Oliver KruseC-PRP
M17837/354135799/12814508197081/4834713964766767/27818292235191449986888865929 : D07052171F571B5C
PRP: Verified
PRP without proof (small exponent)
2017-12-07ATHC-PRP
M17837/354135799/12814508197081/4834713964766767/27818292235191449986888865929 : 7C123A743157BE9D
PRP: Verified
PRP without proof (small exponent)
2017-10-02kkmrkkblmbrbkC-PRP
M17837/354135799/12814508197081/4834713964766767/27818292235191449986888865929 : 7C123A743157BE9D
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M17837/354135799/12814508197081/4834713964766767/27818292235191449986888865929 : 7C123A743157BE9D
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M17837/354135799/12814508197081/4834713964766767/27818292235191449986888865929 : 7C123A743157BE9D
PRP: Verified
PRP without proof (not generated)
2009-05-31Matthias WurtingerF-ECM
Factor: 27818292235191449986888865929
2008-08-29-Anonymous-F
Factor: 4834713964766767
2008-08-26-Anonymous-F
Factor: 12814508197081