6 977 723 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
1228079249	10	30.2	old
1450975631513	13	40.4	2008-09-30 21:53:56
654897190312268737681	21	69.1	2024-01-01 18:05:11

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2018-01-24	Netanias	2716CB6E60ACA65D	2	1902823	5	3
Verified (Factored)	2019-02-18	arnaud	2716CB6E60ACA65D	2	2075697	5	3
Verified	2024-01-04	Naegi Makoto	2716CB6E60ACA65D	3	1387571	5	3

P-1 factors

Date	Factor	B1	B2
2024-01-01	654897190312268737681	600000	600000

History

Date	User	Type	Result
2025-01-10	Stef42	NF-PM1	B1=2218000, B2=4620399630
2024-01-04	Bogiatzoules	CERT	PRP Certification Proof certified good
2024-01-04	Naegi Makoto	C-PRP	M6977723/1228079249/1450975631513/654897190312268737681 : 2716CB6E60ACA65D PRP proof power = 8 PRP: Verified Proof certified good
2024-01-01	Stef42	F-PM1	Factor: 654897190312268737681 / (P-1, B1=600000)
2019-02-18	arnaud	C-PRP	M6977723/1228079249/1450975631513 : 2716CB6E60ACA65D PRP: Verified (Factored) PRP without proof (not generated)
2018-01-24	Netanias	C-PRP	M6977723/1228079249/1450975631513 : 2716CB6E60ACA65D PRP: Verified (Factored) PRP without proof (not generated)
2008-09-30	markr	F	Factor: 1450975631513