1 678 249 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
6167320624607159	16	52.5	old
316802402208200897809	21	68.1	2020-01-06 12:25:34

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	Type	Base
Verified (Factored)	2025-09-02	Kriesel	F6C9BEB7F83972E4	0	1	3

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-30	alpertron	1BD352124AC39B9B	1	0	1	3
Verified (Factored)	2017-10-18	Oliver Kruse	1BD352124AC39B9B	1	1363725	1	3
Verified	2020-01-09	Sébastien BROUCKE	F6C9BEB7F83972E4	2	828706	5	3
Verified	2020-01-10	oodaira	F6C9BEB7F83972E4	2	422271	5	3

History

Date	User	Type	Result
2025-09-03	dibs	CERT	PRP Certification CERT proof power = 6 Proof certified good
2025-09-02	Kriesel	C-PRP	F6C9BEB7F83972E4 PRP proof power = 6 PRP: Verified (Factored) Proof certified good
2020-01-10	oodaira	C-PRP	M1678249/6167320624607159/316802402208200897809 : F6C9BEB7F83972E4 PRP: Verified PRP without proof (not generated)
2020-01-09	Sébastien BROUCKE	C-PRP	M1678249/6167320624607159/316802402208200897809 : F6C9BEB7F83972E4 PRP: Verified PRP without proof (not generated)
2020-01-06	TJAOI	F-ECM	Factor: 316802402208200897809 / (ECM curve 4, B1=50000, B2=5000000)
2017-10-18	Oliver Kruse	C-PRP	M1678249/6167320624607159 : 1BD352124AC39B9B PRP: Verified PRP without proof (not generated)
2017-09-30	alpertron	C-PRP	M1678249/6167320624607159 : 1BD352124AC39B9B PRP: Verified PRP without proof (not generated)
2016-03-17	alpertron	NF-PM1	B1=500000, B2=15000000, E=12