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

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Exponent Range:










MnStatusDetails
12829Composite, with 4 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
76871369826.2old
845196072731136.32008-08-26 19:58:38
1608118268262641231879561701933732103.72012-08-27 11:12:30
173399125043195946251192045211495408137120.42021-09-15 11:48:09
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000004588 / 4588
45110000001392 / 9201
Estimated T-Level: 40.8
TF below 2^130 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified (Factored)2017-09-21Oliver Kruse16775B8069C883C03013
Verified (Factored)2017-10-02kkmrkkblmbrbk16775B8069C883C03013
Verified (Factored)2017-12-07ATH16775B8069C883C03248513
Verified (Factored)2020-04-17Oliver Kruse5E8041F4DBA8E97C3979353
Verified2021-09-15SRJ28775E8041F4DBA8E97C4851053
History
DateUserTypeResult
2023-05-27-Anonymous-NF-PM1
B1=100000000000, B2=120417199046794650
2023-05-15JacobZNF-PM1
B1=8600000000, B2=36024966470342850
2022-02-05JossNF-PM1
B1=1000000, B2=3910366209750
2021-09-15SRJ2877C-PRP
M12829/76871369/84519607273/16081182682626412318795617019337/1733991250431959462511920452114954081 : 5E8041F4DBA8E97C
PRP: Verified
PRP without proof (small exponent)
2021-09-15nordiF-ECM
Factor: 1733991250431959462511920452114954081 / (ECM curve 79, B1=3000000, B2=528000000, Sigma=836948325433098)
2020-04-17Oliver KruseC-PRP
M12829/76871369/84519607273/16081182682626412318795617019337 : 5E8041F4DBA8E97C
PRP: Verified
PRP without proof (small exponent)
2017-12-07ATHC-PRP
M12829/76871369/84519607273/16081182682626412318795617019337 : 16775B8069C883C0
PRP: Verified
PRP without proof (small exponent)
2017-10-02kkmrkkblmbrbkC-PRP
M12829/76871369/84519607273/16081182682626412318795617019337 : 16775B8069C883C0
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M12829/76871369/84519607273/16081182682626412318795617019337 : 16775B8069C883C0
PRP without proof (not generated)
2012-08-27BloodIceF-ECM
Factor: 16081182682626412318795617019337
2008-08-26-Anonymous-F
Factor: 84519607273