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

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Exponent Range:










MnStatusDetails
248641Composite, with 1 known prime factor. Cofactor is composite.
Factored
FactorDigitsBitsDate
12982043980806907057212270.12008-10-16 23:38:43
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
351000000205 / 1566
Estimated T-Level: 30.7 ⓘ
TF below 2^97 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)David Slowinski3E9D0
Verified (Factored)Unknown3E9D0
Verified (Factored)Ken KieferEC237711A54CBE9D0
Verified (Factored)Brian J. BeesleyEC237711A54CBE9D0
Verified (Factored)Eivind TrielEC237711A54CBE9D159840
PRP Cofactor
StatusDateUserResidueNumber of
known factors		ShiftTypeBase
Verified2017-09-22Oliver Kruse9A7ABA6636B4F50C1013
Verified2017-10-12kkmrkkblmbrbk9A7ABA6636B4F50C121215013
Verified2020-04-17Oliver KruseEBE03B1F04FCC9FB1241753
Verified2024-02-03Wentao HuangEBE03B1F04FCC9FB12915653
History
DateUserTypeResult
2024-02-03Naegi MakotoCERT
PRP Certification
Proof certified good
2024-02-03Wentao HuangC-PRP
M248641/1298204398080690705721 : EBE03B1F04FCC9FB
PRP proof power = 5
PRP: Verified
Proof certified good
2022-04-17Oliver KruseNF-PM1
B1=30000000, B2=10120247026890
2022-03-07LordJuliusNF
no factor from 2^54 to 2^55
2021-08-07Oliver KruseNF-PM1
B1=30000000, B2=3000000000, E=24
2020-04-17Oliver KruseC-PRP
M248641/1298204398080690705721 : EBE03B1F04FCC9FB
PRP: Verified
PRP without proof (small exponent)
2017-10-12kkmrkkblmbrbkC-PRP
M248641/1298204398080690705721 : 9A7ABA6636B4F50C
PRP: Verified
PRP without proof (small exponent)
2017-09-22Oliver KruseC-PRP
M248641/1298204398080690705721 : 9A7ABA6636B4F50C
PRP: Verified
PRP without proof (not generated)
2017-09-22Oliver KruseC-PRP
M248641/1298204398080690705721 : 9A7ABA6636B4F50C
PRP without proof (not generated)
2008-10-16Sturle SundeF-ECM
Factor: 1298204398080690705721