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

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MnStatusDetails
18859Composite, with 2 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
1292775095102034891207464836380732103.42008-04-24 15:34:32
19648076059929480250418269623305448255760544945147.12023-05-18 11:16:15
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000001705 / 4588
Estimated T-Level: 36.9
TF below 2^117 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)Unknown6EE80
Verified (Factored)George Woltman02E02A509A2F6EE80
Verified (Factored)Brian J. Beesley02E02A509A2F6EE80
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified (Factored)2017-09-21Oliver KruseEC1D0297F318D3B61013
Verified (Factored)2017-10-12kkmrkkblmbrbkEC1D0297F318D3B611530213
Verified (Factored)2020-04-17Oliver KruseF4220E79C5FA225811106053
Verified2023-05-18JacobZF4220E79C5FA225821826653
P-1 factors
DateFactorB1B2
2023-05-18196480760599294802504182696233054482557605449560000000016709983434234090
History
DateUserTypeResult
2024-12-30masserNF-PP1
Start=6/5, B1=132000000, B2=131868000000
2024-12-20masserNF-PP1
Start=171/53, B1=132000000, B2=131868000000
2024-12-14masserNF-PP1
Start=2/7, B1=132000000, B2=131868000000
2023-05-18JacobZC-PRP
M18859/12927750951020348912074648363807/196480760599294802504182696233054482557605449 : F4220E79C5FA2258
PRP: Verified
PRP without proof (small exponent)
2023-05-18JacobZF-PM1
Factor: 196480760599294802504182696233054482557605449 / (P-1, B1=5600000000, B2=16709983434234090)
2020-04-17Oliver KruseC-PRP
M18859/12927750951020348912074648363807 : F4220E79C5FA2258
PRP: Verified
PRP without proof (small exponent)
2017-10-12kkmrkkblmbrbkC-PRP
M18859/12927750951020348912074648363807 : EC1D0297F318D3B6
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M18859/12927750951020348912074648363807 : EC1D0297F318D3B6
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M18859/12927750951020348912074648363807 : EC1D0297F318D3B6
PRP without proof (not generated)