7 122 769 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
16453596391	11	33.9	old
72261779016724441	17	56.0	2015-03-02 12:15:08
5043819887269903258802519	25	82.1	2024-01-08 06:26:45

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2018-02-22	Oliver Kruse	6540B6AB5B287F37	2	4694317	5	3
Verified (Factored)	2019-03-21	kkmrkkblmbrbk	6540B6AB5B287F37	2	6989598	5	3
Verified	2024-01-08	Naegi Makoto	6540B6AB5B287F37	3	1858733	5	3

P-1 factors

Date	Factor	B1	B2
2024-01-08	5043819887269903258802519	820000	1867711230

History

Date	User	Type	Result
2024-01-10	David Barina	CERT	PRP Certification Proof certified good
2024-01-08	Naegi Makoto	C-PRP	M7122769/16453596391/72261779016724441/5043819887269903258802519 : 6540B6AB5B287F37 PRP proof power = 8 PRP: Verified Proof certified good
2024-01-08	Stef42	F-PM1	Factor: 5043819887269903258802519 / (P-1, B1=820000, B2=1867711230)
2019-03-21	kkmrkkblmbrbk	C-PRP	M7122769/16453596391/72261779016724441 : 6540B6AB5B287F37 PRP: Verified (Factored) PRP without proof (not generated)
2018-02-22	Oliver Kruse	C-PRP	M7122769/16453596391/72261779016724441 : 6540B6AB5B287F37 PRP: Verified (Factored) PRP without proof (not generated)
2015-03-02	TJAOI	F	Factor: 72261779016724441 / TF: 56-57