Marin Mersenne 2^P-1
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Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

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Exponent Range:










MnStatusDetails
8490563Factored
FactorDigitsBitsDate
16981127824.0old
12396221991030.22008-09-08 04:34:20
4692394547591238.82008-09-08 04:34:20
655048293940091445.92008-09-30 23:52:45
2240948424653271547.72014-03-12 11:26:41
8074073035803371549.52014-05-06 12:22:30
96149516382544367771963.12016-12-06 16:17:21
22746808362429454961382732580.92021-08-26 21:32:31
ECM
DigitsB1Curves
255000033 / 280
Estimated T-Level: 20.6 ⓘ
TF below 2^63 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors		ShiftTypeBase
Verified (Factored)2018-11-07Luigi Morelli8472C712F40278367245237453
Verified (Factored)2020-06-15ATH8472C712F40278367271343153
Verified2021-08-27H Michaelson8472C712F40278368206510153
P-1 factors
DateFactorB1B2
2021-08-262274680836242945496138273300000300000
2021-08-271142572962503982169581945321175870959353995201577383667667347295569120055388161311464244538450258255110000001000000
2021-08-27114257296250398216958194532117587095935399520157738366766734729556912005538816131146424453845025825513030
History
DateUserTypeResult
2022-04-10James HeinrichNF
no factor from 2^65 to 2^66
2022-04-10James HeinrichNF
no factor from 2^64 to 2^65
2022-04-09LordJuliusNF
no factor from 2^65 to 2^66
2022-04-09LordJuliusNF
no factor from 2^64 to 2^65
2021-12-29Seth_TrNF-PM1
B1=100000000, B2=16100000000
2021-12-09nordiNF-PM1
B1=6000000, B2=6107621520
2021-08-27Ben DeloCERT
PRP Certification
Proof certified good
2021-08-27H MichaelsonC-PRP
M8490563/16981127/1239622199/469239454759/65504829394009/224094842465327/807407303580337/9614951638254436777/2274680836242945496138273 : 8472C712F4027836
PRP proof power = 8
PRP: Verified
Proof certified good
2021-08-27H MichaelsonNF-PM1
B1=1000000, B2=100000000
2021-08-27H MichaelsonF-PM1
Factor: 11425729625039821695819453211758709593539952015773836676673472955691200553881613114642445384502582551 / (P-1, B1=30)
2021-08-27H MichaelsonF-PM1
Factor: 11425729625039821695819453211758709593539952015773836676673472955691200553881613114642445384502582551 / (P-1, B1=1000000)
2021-08-27Seth_TrNF-PM1
B1=1000000, B2=100000000
2021-08-26Seth_TrNF
no factor from 2^70 to 2^71
2021-08-26Seth_TrNF
no factor from 2^69 to 2^70
2021-08-26Seth_TrNF
no factor from 2^68 to 2^69
2021-08-26Seth_TrF-PM1
Factor: 2274680836242945496138273 / (P-1, B1=300000)
2020-06-15ATHC-PRP
M8490563/16981127/1239622199/469239454759/65504829394009/224094842465327/807407303580337/9614951638254436777 : 8472C712F4027836
PRP: Verified (Factored)
PRP without proof (not generated)
2019-12-17Seth_TrNF
no factor from 2^67 to 2^68
2019-06-18Seth_TrNF
no factor from 2^66 to 2^67
2018-11-07Luigi MorelliC-PRP
M8490563/16981127/1239622199/469239454759/65504829394009/224094842465327/807407303580337/9614951638254436777 : 8472C712F4027836
PRP: Verified (Factored)
PRP without proof (not generated)
2016-12-06TJAOIF
Factor: 9614951638254436777 / TF: 63-64
2014-05-06TJAOIF
Factor: 807407303580337
2014-03-12TJAOIF
Factor: 224094842465327
2008-09-30markrF
Factor: 65504829394009
2008-09-08Will EdgingtonF
Factor: 469239454759
2008-09-08Will EdgingtonF
Factor: 1239622199