7 784 033 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
10402817825095083375703	23	73.1	2012-05-27 22:58:34
4150766576172821373560513	25	81.8	2025-01-02 11:00:02

Status	Date	User	Residue	Shift
Verified (Factored)	2000-02-09	Jeff Runaldue	131A715445A4AF67	3618688
Verified (Factored)	2002-06-02	Stanley Hunter	131A715445A4AF67	6530049

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2018-05-17	_p95holder_	CF2B8817AAFFB0F9	1	3691008	5	3
Verified (Factored)	2019-10-01	marssystems	CF2B8817AAFFB0F9	1	7671281	5	3
Verified	2025-01-08	Dmitry Bolshakov	CF2B8817AAFFB0F9	2	1694155	5	3

P-1 factors

Date	Factor	B1	B2
2025-01-02	4150766576172821373560513	1093000	1093000

History

Date	User	Type	Result
2025-01-09	Dave LeCompte	CERT	PRP Certification Proof certified good
2025-01-08	Dmitry Bolshakov	C-PRP	M7784033/10402817825095083375703/4150766576172821373560513 : CF2B8817AAFFB0F9 PRP proof power = 8 PRP: Verified Proof certified good
2025-01-02	Stef42	F-PM1	Factor: 4150766576172821373560513 / (P-1, B1=1093000)
2019-10-01	marssystems	C-PRP	M7784033/10402817825095083375703 : CF2B8817AAFFB0F9 PRP: Verified (Factored) PRP without proof (not generated)
2018-05-17	_p95holder_	C-PRP	M7784033/10402817825095083375703 : CF2B8817AAFFB0F9 PRP: Verified (Factored) PRP without proof (not generated)
2012-05-27	Oscar Östlin	F-PM1	Factor: 10402817825095083375703