1 949 459 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 4 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
3898919	7	21.9	old
62367092329	11	35.9	2008-07-15 07:48:34
318349565242287001	18	58.1	2015-08-13 11:16:28
716451410905361431343	21	69.3	2021-10-12 11:51:31

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	106 / 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	0386DC04D942B236	0	1	3

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-05	Oliver Kruse	B158AE6F67878A5B	3	0	1	3
Verified (Factored)	2017-11-11	kkmrkkblmbrbk	B158AE6F67878A5B	3	486524	1	3
Verified	2021-10-12	SRJ2877	0386DC04D942B236	4	238787	5	3

History

Date	User	Type	Result
2025-09-03	Jonathan Webb	CERT	PRP Certification CERT proof power = 6 Proof certified good
2025-09-02	Kriesel	C-PRP	0386DC04D942B236 PRP proof power = 6 PRP: Verified (Factored) Proof certified good
2021-10-13	curtisc	CERT	PRP Certification Proof certified good
2021-10-12	SRJ2877	C-PRP	M1949459/3898919/62367092329/318349565242287001/716451410905361431343 : 0386DC04D942B236 PRP proof power = 7 PRP: Verified Proof certified good
2021-10-12	PluckyPizzicato	F-ECM	Factor: 716451410905361431343 / (ECM curve 5, B1=50000, B2=5600000, Sigma=3957946525720256)
2017-11-11	kkmrkkblmbrbk	C-PRP	M1949459/3898919/62367092329/318349565242287001 : B158AE6F67878A5B PRP: Verified (Factored) PRP without proof (not generated)
2017-10-05	Oliver Kruse	C-PRP	M1949459/3898919/62367092329/318349565242287001 : B158AE6F67878A5B PRP: Verified (Factored) PRP without proof (not generated)
2016-03-17	alpertron	NF-PM1	B1=500000, B2=15000000, E=12
2015-08-13	TJAOI	F	Factor: 318349565242287001 / TF: 58-59
2008-07-15	J Feitsma	F	Factor: 62367092329