8 445 683 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 4 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁶⁸

Factored

Factor	Digits	Bits	Date
16891367	8	24.0	old
8722448031911	13	43.0	2008-09-30 23:52:41
17309306906843153	17	53.9	2014-10-22 11:33:31
198538919215923453191	21	67.4	2022-07-25 07:22:57

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Factored	PRP without proof (not generated)	2018-10-28	rucio	DCEFB6142D48E0EC	3	5339492	5	3
Factored	PRP without proof (not generated)	2020-06-02	Luigi Morelli	DCEFB6142D48E0EC	3	2713678	5	3
Verified	Certified Good	2022-07-31	Funky Waddle	DCEFB6142D48E0EC	4	7966645	5	3
Verified	Certified Good	2022-08-02	LordJulius	DCEFB6142D48E0EC	4	2937976	5	3

History

Date	User	Type	Result
2024-05-27	Stef42	NF-PM1	B1=4000000, B2=7668766560
2022-09-21	LordJulius	NF	no factor TF: 66-67
2022-09-21	LordJulius	NF	no factor TF: 65-66
2022-09-21	LordJulius	NF	no factor TF: 64-65
2022-08-02	griswold1117	CERT	Proof certified good
2022-08-02	LordJulius	C-PRP	M8445683/16891367/8722448031911/17309306906843153/198538919215923453191 : DCEFB6142D48E0EC Proof Certified Good Proof Power: 8
2022-07-31	Chad Steenerson	CERT	Proof certified good
2022-07-31	Funky Waddle	C-PRP	M8445683/16891367/8722448031911/17309306906843153/198538919215923453191 : DCEFB6142D48E0EC Proof Certified Good Proof Power: 8
2022-07-25	TJAOI	F	Factor: 198538919215923453191
2020-06-02	Luigi Morelli	C-PRP	M8445683/16891367/8722448031911/17309306906843153 : DCEFB6142D48E0EC
2018-10-28	rucio	C-PRP	M8445683/16891367/8722448031911/17309306906843153 : DCEFB6142D48E0EC
2014-10-22	TJAOI	F	Factor: 17309306906843153
2008-09-30	markr	F	Factor: 8722448031911