2 317 807 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 5 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁶²

Factored

Factor	Digits	Bits	Date
255663383329	12	37.9	old
1508540050337	13	40.5	2008-07-14 20:22:59
21755758025513081	17	54.3	2014-11-13 12:50:45
13039062090035753801	20	63.5	2017-03-02 12:08:19
72675155456093655592569647	26	85.9	2025-05-02 18:24:44

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	146 / 640

Estimated T-Level: 26.1 ⓘ

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

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Factored	PRP without proof (not generated)	2017-10-11	Oliver Kruse	CB72FCC6AAAFA793	1	0	1	3
Factored	PRP without proof (not generated)	2017-10-18	Oliver Kruse	EDD2D966DE8C260A	4	1367669	5	3
Factored	PRP without proof (not generated)	2017-11-23	storm5510	EDD2D966DE8C260A	4	2050883	5	3
Verified	Certified Good	2025-05-02	Daniil Tsarkov	EDD2D966DE8C260A	5	1782456	5	3

History

Date	User	Type	Result
2025-05-02	Yves Bellefeuille	CERT	Proof certified good
2025-05-02	Daniil Tsarkov	C-PRP	M2317807/255663383329/1508540050337/21755758025513081/13039062090035753801/72675155456093655592569647 : EDD2D966DE8C260A Proof Certified Good Proof Power: 7
2025-05-02	Daniil Tsarkov	F-ECM	Factor: 72675155456093655592569647 / ECM curve 5, B1=83961, B2=821598855, Edwards Sigma=3212141369947029
2021-04-08	ViliamF	NF-PM1	B1=5000000, B2=505000000
2018-02-26	alpertron	NF-PM1	B1=500000, B2=15000000, E=12
2017-11-23	storm5510	C-PRP	M2317807/255663383329/1508540050337/21755758025513081/13039062090035753801 : EDD2D966DE8C260A
2017-10-18	Oliver Kruse	C-PRP	M2317807/255663383329/1508540050337/21755758025513081/13039062090035753801 : EDD2D966DE8C260A
2017-10-11	Oliver Kruse	C-PRP	M2317807/known_factors : CB72FCC6AAAFA793
2017-03-02	TJAOI	F	Factor: 13039062090035753801
2014-11-13	TJAOI	F	Factor: 21755758025513081
2008-07-14	George Woltman	F-ECM	Factor: 1508540050337