2 452 861 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
35016945674638149289	20	64.9	2012-05-17 09:14:46
3692037943247969526661223	25	81.6	2025-05-05 22:51:10

ECM

Digits	B1	Curves
25	50000	89 / 280

Estimated T-Level: 21.6 ⓘ

TF below 2^67 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Aaron Thompson	80D8D79E51E460CB	0
Verified (Factored)		Sturle Sunde	80D8D79E51E460CB	0

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-13	Oliver Kruse	773E6129C58CEBED	1	1376349	5	3
Verified (Factored)	2017-11-28	ATH	773E6129C58CEBED	1	536097	5	3
Verified	2025-05-05	feather	773E6129C58CEBED	2	798336	5	3

History

Date	User	Type	Result
2025-05-06	ZhiYuan	CERT	PRP Certification Proof certified good
2025-05-05	feather	C-PRP	M2452861/35016945674638149289/3692037943247969526661223 : 773E6129C58CEBED PRP proof power = 7 PRP: Verified Proof certified good
2025-05-05	feather	F-ECM	Factor: 3692037943247969526661223 / (ECM curve 14, B1=70087, B2=12971595, Edwards Sigma=6878182110263783)
2022-03-10	LordJulius	NF	no factor from 2^1 to 2^60
2018-09-28	alpertron	NF-PM1	B1=2000000, B2=60000000, E=12
2017-11-28	ATH	C-PRP	M2452861/35016945674638149289 : 773E6129C58CEBED PRP: Verified (Factored) PRP without proof (not generated)
2017-10-13	Oliver Kruse	C-PRP	M2452861/35016945674638149289 : 773E6129C58CEBED PRP: Verified (Factored) PRP without proof (not generated)
2012-05-17	omiXorp	F-ECM	Factor: 35016945674638149289
2011-01-19	Oscar Östlin	NF-PM1	B1=95000, B2=1947500, E=6
2010-12-22	Joss	NF-PM1	B1=20000
2009-01-17	Sturle Sunde	NF	no factor from 2^60 to 2^61