2 311 769 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
13225709743527430993	20	63.5	2015-03-03 21:35:36
998982212696815744769	21	69.8	2023-10-21 11:32:45

ECM

Digits	B1	Curves
25	50000	131 / 280

Estimated T-Level: 22.3 ⓘ

TF below 2^69 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		David Hamer	F7578154A9E3F785	0
Verified (Factored)	1999-03-15	Charles Dorian	F7578154A9E3F785	70308

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-11	Oliver Kruse	D767967FF0E15118	1	0	1	3
Verified (Factored)	2017-11-22	ATH	D767967FF0E15118	1	336441	1	3
Verified	2023-10-21	Sergei Kozelko	FF0DD5A3919D2985	2	1652371	5	3

History

Date	User	Type	Result
2023-10-21	chevron	CERT	PRP Certification Proof certified good
2023-10-21	Sergei Kozelko	C-PRP	M2311769/13225709743527430993/998982212696815744769 : FF0DD5A3919D2985 PRP proof power = 7 PRP: Verified Proof certified good
2023-10-21	Sergei Kozelko	F-ECM	Factor: 998982212696815744769 / (ECM curve 20, B1=50000, B2=12970230, Sigma=7071565359807259)
2021-05-06	ViliamF	NF-PM1	B1=5000000, B2=500000000
2018-02-26	alpertron	NF-PM1	B1=500000, B2=15000000, E=12
2017-11-22	ATH	C-PRP	M2311769/13225709743527430993 : D767967FF0E15118 PRP: Verified (Factored) PRP without proof (not generated)
2017-10-11	Oliver Kruse	C-PRP	M2311769/13225709743527430993 : D767967FF0E15118 PRP: Verified (Factored) PRP without proof (not generated)
2015-03-03	VictordeHollander	F	Factor: 13225709743527430993 / TF: 63-64
2013-01-23	dbaugh	NF	no factor from 2^62 to 2^63
2012-05-23	Sebastian Hornbostel	NF	no factor from 2^61 to 2^62
2010-02-15	Bud	NF-PM1	B1=500000, B2=10000000, E=12
2009-01-14	Sturle Sunde	NF	no factor from 2^60 to 2^61