10 418 873 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 3 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁶⁸

Factored

Factor	Digits	Bits	Date
336820237259205311	18	58.2	old
32559778928559848527	20	64.8	2018-01-25 17:10:07
162829474739307544193	21	67.1	2021-10-26 11:43:02

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Factored	PRP without proof (not generated)	2020-06-15	LaurV	6D9072B8511E365F	2	108577	5	3
Factored	Certified Good	2021-03-01	rucio	6D9072B8511E365F	2	8221113	5	3
Verified	Certified Good	2021-11-01	LaurV	6D9072B8511E365F	3	9255655	5	3

History

Date	User	Type	Result
2026-02-20	Sid & Andy	NF-PM1	B1=1700000, B2=1921227000
2022-04-08	James Heinrich	NF	no factor TF: 65-66
2022-04-08	James Heinrich	NF	no factor TF: 66-67
2021-11-01	Yves de Wandelaar	CERT	Proof certified good
2021-11-01	LaurV	C-PRP	M10418873/336820237259205311/32559778928559848527/162829474739307544193 : 6D9072B8511E365F Proof Certified Good Proof Power: 8
2021-10-26	TJAOI	F	Factor: 162829474739307544193
2021-03-01	ky0uraku	CERT	Proof certified good
2021-03-01	rucio	C-PRP	M10418873/336820237259205311/32559778928559848527 : 6D9072B8511E365F Proof Certified Good Proof Power: 8
2020-06-15	LaurV	C-PRP	M10418873/336820237259205311/32559778928559848527 : 6D9072B8511E365F Proof Certified Good Proof Power: 8
2018-01-25	TJAOI	F	Factor: 32559778928559848527
1999-09-22	-anonymous-	F	Factor: 336820237259205311