18 245 593 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 1 known prime factor. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
4583982438282285357247	22	72.0	2021-10-08 19:13:01

ECM

Digits	B1	Curves
25	50000	1 / 280

Estimated T-Level: 20.0 ⓘ

TF below 2^61 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)	2003-12-23	David Beckles	0F75FE396958F826	5023283
Verified (Factored)	2006-11-09	Ars Technica Team Prime Rib	0F75FE396958F826	10039098

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2025-09-16	Adel El-Atawy	6D8E782FD5A0D6BA	1	17309935	5	3

History

Date	User	Type	Result
2025-09-16	JOHNRD	CERT	PRP Certification Proof certified good
2025-09-16	Adel El-Atawy	C-PRP	M18245593/4583982438282285357247 : 6D8E782FD5A0D6BA PRP proof power = 8 PRP: Verified Proof certified good
2025-06-17	Greg	F	Factor: 4583982438282285357247 / TF: 71-72
2021-10-08	-Anonymous-	F	Factor: 4583982438282285357247 / TF: 71-72*
2021-09-11	SRBase	NF	no factor from 2^70 to 2^71
2020-03-01	lycorn	NF	no factor from 2^69 to 2^70
2017-09-18	ramgeis	NF	no factor from 2^68 to 2^69
2017-09-18	ramgeis	NF	no factor from 2^67 to 2^68
2016-03-21	Mark Rose	NF	no factor from 2^66 to 2^67