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

PrimeNet Exponent Status

Exponent Range:










MnStatusDetails
4459409Factored
FactorDigitsBitsDate
597560807929.2old
32567562578114391651.52014-07-01 11:23:44
14356313871460112471960.32016-01-28 12:35:33
281655112472711840632064.62017-11-21 14:31:05
736648033376383748812066.02019-08-21 12:17:06
446018645850653647263411893512995.22023-01-28 12:55:02
ECM
DigitsB1Curves
25500003 / 280
Estimated T-Level: 20.1 ⓘ
TF below 2^62 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors		ShiftTypeBase
Verified (Factored)2017-09-20kkmrkkblmbrbk46E11743E67CC0F93013
Verified (Factored)2017-11-21storm55101D4520467C0AE7D04305821553
Verified (Factored)2018-01-01kkmrkkblmbrbk1D4520467C0AE7D04287639653
Verified (Factored)2019-08-22mnd91D4520467C0AE7D05313356053
Verified2023-01-28Lisander Viaene1D4520467C0AE7D06355742553
P-1 factors
DateFactorB1B2
2023-01-2844601864585065364726341189351110000213455550
History
DateUserTypeResult
2023-01-28George WoltmanCERT
PRP Certification
Proof certified good
2023-01-28Lisander ViaeneC-PRP
M4459409/597560807/3256756257811439/1435631387146011247/28165511247271184063/73664803337638374881/44601864585065364726341189351 : 1D4520467C0AE7D0
PRP proof power = 7
PRP: Verified
Proof certified good
2023-01-28Lisander ViaeneF-PM1
Factor: 44601864585065364726341189351 / (P-1, B1=110000, B2=213455550)
2022-06-25LordJuliusNF
no factor from 2^63 to 2^64
2022-06-25LordJuliusNF
no factor from 2^61 to 2^63
2019-08-22mnd9C-PRP
M4459409/597560807/3256756257811439/1435631387146011247/28165511247271184063/73664803337638374881 : 1D4520467C0AE7D0
PRP: Verified (Factored)
PRP without proof (not generated)
2019-08-21TJAOIF
Factor: 73664803337638374881 / TF: 65-66
2018-01-01kkmrkkblmbrbkC-PRP
M4459409/597560807/3256756257811439/1435631387146011247/28165511247271184063 : 1D4520467C0AE7D0
PRP: Verified (Factored)
PRP without proof (not generated)
2017-11-21storm5510C-PRP
M4459409/597560807/3256756257811439/1435631387146011247/28165511247271184063 : 1D4520467C0AE7D0
PRP: Verified (Factored)
PRP without proof (not generated)
2017-11-21TJAOIF
Factor: 28165511247271184063 / TF: 64-65
2017-09-20kkmrkkblmbrbkC-PRP
M4459409/1435631387146011247/3256756257811439/597560807 : 46E11743E67CC0F9
PRP: Verified (Factored)
PRP without proof (not generated)
2016-01-28TJAOIF
Factor: 1435631387146011247 / TF: 60-61
2014-07-01TJAOIF
Factor: 3256756257811439