1 584 811 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
2767080007	10	31.4	old
1188262140986215151	19	60.0	2015-03-30 19:20:31

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	398189D237585DA6	0	1	3

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-10-02	Oliver Kruse	CFA064F1AA0C5BAE	2	0	1	3
Verified	2017-10-31	Chang Chia-Tche	CFA064F1AA0C5BAE	2	424603	1	3

P-1 factors

Date	Factor	B1	B2
2015-03-30	1188262140986215151	500000	15000000

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	398189D237585DA6 PRP proof power = 6 PRP: Verified (Factored) Proof certified good
2017-10-31	Chang Chia-Tche	C-PRP	M1584811/2767080007/1188262140986215151 : CFA064F1AA0C5BAE PRP: Verified PRP without proof (not generated)
2017-10-02	Oliver Kruse	C-PRP	M1584811/2767080007/1188262140986215151 : CFA064F1AA0C5BAE PRP: Verified PRP without proof (not generated)
2015-03-30	alpertron	F-PM1	Factor: 1188262140986215151 / (P-1, B1=500000, B2=15000000, E=12)