1 876 669 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
186934613848573734809	21	67.3	2012-01-12 14:07:22
7430364231005468490169	22	72.7	2020-11-25 12:35:24

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	107 / 640

Estimated T-Level: 25.8 ⓘ

TF below 2^81 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		John Guin	F777A89750B2BA1A	0
Verified (Factored)	1998-02-01	MIT Prime Team	F777A89750B2BA1A	0
Verified (Factored)	1999-02-07	Robert Knight	F777A89750B2BA1A	1383095

Status	Date	User	Residue	Shift	Type	Base
Verified (Factored)	2025-09-02	Kriesel	6CB6F35AB5B58E49	0	1	3

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-04	Oliver Kruse	4E5CCBFA15B09F9D	1	0	1	3
Verified (Factored)	2017-11-07	ATH	4E5CCBFA15B09F9D	1	1251266	1	3
Verified	2020-11-26	mrh	6CB6F35AB5B58E49	2	1821475	5	3

History

Date	User	Type	Result
2025-09-03	Carlos Pinho	CERT	PRP Certification CERT proof power = 6 Proof certified good
2025-09-02	Kriesel	C-PRP	6CB6F35AB5B58E49 PRP proof power = 6 PRP: Verified (Factored) Proof certified good
2020-11-26	Richard Thomas	CERT	PRP Certification Proof certified good
2020-11-26	mrh	C-PRP	M1876669/186934613848573734809/7430364231005468490169 : 6CB6F35AB5B58E49 PRP proof power = 7 PRP: Verified Proof certified good
2020-11-25	MarkS	F-ECM	Factor: 7430364231005468490169 / (ECM curve 5, B1=50000, B2=5000000, Sigma=6278622596066280)
2017-11-07	ATH	C-PRP	M1876669/186934613848573734809 : 4E5CCBFA15B09F9D PRP: Verified (Factored) PRP without proof (not generated)
2017-10-04	Oliver Kruse	C-PRP	M1876669/186934613848573734809 : 4E5CCBFA15B09F9D PRP: Verified (Factored) PRP without proof (not generated)
2016-03-16	alpertron	NF-PM1	B1=500000, B2=15000000, E=12
2012-01-12	markr	F-PM1	Factor: 186934613848573734809
2011-03-08	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2010-04-10	Architects Cubed	NF	no factor from 2^60 to 2^61