2 991 049 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
3717620401455570329	19	61.7	2016-05-20 11:37:05
32002918467014014673	20	64.8	2010-10-22 09:01:21
1132888276687667358400657	25	79.9	2025-04-12 04:54:23

ECM

Digits	B1	Curves
25	50000	91 / 280

Estimated T-Level: 21.6 ⓘ

TF below 2^67 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)	1998-02-19	Lynn Stallings	01842430F20ABCBC	0
Verified (Factored)	1999-06-06	Brian Knopp	01842430F20ABCBC	1832895

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-26	Oliver Kruse	BAD5130870549971	2	2629575	5	3
Verified (Factored)	2017-12-10	kkmrkkblmbrbk	BAD5130870549971	2	423909	5	3
Verified	2025-04-12	feather	BAD5130870549971	3	1220415	5	3

History

Date	User	Type	Result
2025-04-12	Benjamin Michaelis	CERT	PRP Certification Proof certified good
2025-04-12	feather	C-PRP	M2991049/3717620401455570329/32002918467014014673/1132888276687667358400657 : BAD5130870549971 PRP proof power = 7 PRP: Verified Proof certified good
2025-04-12	feather	F-ECM	Factor: 1132888276687667358400657 / (ECM curve 13, B1=50000, B2=6605445, Edwards Sigma=1744214638350128)
2023-02-28	USAFSS	NF-PM1	B1=320000, B2=242189310
2017-12-10	kkmrkkblmbrbk	C-PRP	M2991049/32002918467014014673/3717620401455570329 : BAD5130870549971 PRP: Verified (Factored) PRP without proof (not generated)
2017-10-26	Oliver Kruse	C-PRP	M2991049/32002918467014014673/3717620401455570329 : BAD5130870549971 PRP: Verified (Factored) PRP without proof (not generated)
2016-05-20	TJAOI	F	Factor: 3717620401455570329 / TF: 61-62
2010-10-22	markr	F-PM1	Factor: 32002918467014014673
2009-02-14	Sturle Sunde	NF	no factor from 2^60 to 2^61