1 626 311 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 3 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
537726643599073	15	48.9	old
1161765879408209	16	50.0	2014-05-19 13:37:27
4364653145662077768107921	25	81.9	2019-10-07 13:17:29

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	134 / 640

Estimated T-Level: 26.0 ⓘ

TF below 2^82 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift	Type	Base
Verified (Factored)	2025-09-02	Kriesel	5C7A4E20B2C08523	0	1	3

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-02	Oliver Kruse	DDD8C16E94856940	2	0	1	3
Verified (Factored)	2017-11-01	kkmrkkblmbrbk	DDD8C16E94856940	2	981775	1	3
Verified	2019-10-08	mnd9	5C7A4E20B2C08523	3	1347995	5	3
Verified	2019-10-09	GAN	5C7A4E20B2C08523	3	976360	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	5C7A4E20B2C08523 PRP proof power = 6 PRP: Verified (Factored) Proof certified good
2019-10-09	GAN	C-PRP	M1626311/537726643599073/1161765879408209/4364653145662077768107921 : 5C7A4E20B2C08523 PRP: Verified PRP without proof (not generated)
2019-10-08	mnd9	C-PRP	M1626311/537726643599073/1161765879408209/4364653145662077768107921 : 5C7A4E20B2C08523 PRP: Verified PRP without proof (not generated)
2019-10-07	TJAOI	F-ECM	Factor: 4364653145662077768107921 / (ECM curve 174, B1=50000, B2=5000000)
2017-11-01	kkmrkkblmbrbk	C-PRP	M1626311/537726643599073/1161765879408209 : DDD8C16E94856940 PRP: Verified PRP without proof (not generated)
2017-10-02	Oliver Kruse	C-PRP	M1626311/537726643599073/1161765879408209 : DDD8C16E94856940 PRP: Verified PRP without proof (not generated)
2016-03-17	alpertron	NF-PM1	B1=500000, B2=15000000, E=12
2014-05-19	TJAOI	F	Factor: 1161765879408209