14 414 831 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
8072305361	10	32.9	old
58034109607	11	35.8	2008-09-08 10:31:16
342957659153	12	38.3	2008-09-08 10:31:16
86473217392771805652767	23	76.2	2023-01-26 03:47:16

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2023-02-12	Naegi Makoto	3173F11D8989E22D	4	5953647	5	3

P-1 factors

Date	Factor	B1	B2
2023-01-26	86473217392771805652767	300000	214790940

History

Date	User	Type	Result
2024-03-18	vsh	NF	Redundant composite factor (8072305361*58034109607) from 2^68 to 2^69
2024-03-18	vsh	NF	no factor from 2^67 to 2^68
2023-02-12	Richard Thomas	CERT	PRP Certification Proof certified good
2023-02-12	Naegi Makoto	C-PRP	M14414831/8072305361/58034109607/342957659153/86473217392771805652767 : 3173F11D8989E22D PRP proof power = 8 PRP: Verified Proof certified good
2023-01-26	nordi	F-PM1	Factor: 86473217392771805652767 / (P-1, B1=300000, B2=214790940)
2022-11-21	nordi	NF-PM1	B1=300000
2008-09-08	Will Edgington	F	Factor: 342957659153
2008-09-08	Will Edgington	F	Factor: 58034109607