1 597 369 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
8137368275609	13	42.9	old
14034321075193948049	20	63.6	2017-03-24 12:04:46
659473320172211250071	21	69.2	2015-04-09 17:31:51

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	E8FAF11765C6E548	0	1	3

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-10-05	Oliver Kruse	8F8499DBE964A8D2	3	0	1	3
Verified	2017-11-11	kkmrkkblmbrbk	8F8499DBE964A8D2	3	273473	1	3

P-1 factors

Date	Factor	B1	B2
2015-04-09	659473320172211250071	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	E8FAF11765C6E548 PRP proof power = 6 PRP: Verified (Factored) Proof certified good
2017-11-11	kkmrkkblmbrbk	C-PRP	M1597369/8137368275609/14034321075193948049/659473320172211250071 : 8F8499DBE964A8D2 PRP: Verified PRP without proof (not generated)
2017-10-05	Oliver Kruse	C-PRP	M1597369/8137368275609/659473320172211250071/14034321075193948049 : 8F8499DBE964A8D2 PRP: Verified PRP without proof (not generated)
2017-10-02	Oliver Kruse	C-PRP	M1597369/8137368275609/659473320172211250071/14034321075193948049 : 8F8499DBE964A8D2 PRP without proof (not generated)
2017-03-24	TJAOI	F	Factor: 14034321075193948049 / TF: 63-64
2015-04-09	alpertron	F-PM1	Factor: 659473320172211250071 / (P-1, B1=500000, B2=15000000, E=12)