14 379 091 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
6125492767	10	32.5	old
3022168588199	13	41.5	2008-09-08 10:30:28
12873427623209	14	43.5	2008-09-08 10:30:28
4416708991765489477006852574261424263844551	43	141.7	2023-01-18 21:01:36

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2023-01-22	Dobri	91D929A0EB409FC0	4	5075456	5	3

P-1 factors

Date	Factor	B1	B2
2023-01-18	4416708991765489477006852574261424263844551	300000	214790940

History

Date	User	Type	Result
2023-01-22	Dobri	NF	no factor from 2^71 to 2^72
2023-01-22	Dobri	NF	no factor from 2^70 to 2^71
2023-01-22	Dobri	NF	no factor from 2^69 to 2^70
2023-01-22	Dobri	NF	no factor from 2^68 to 2^69
2023-01-22	Dobri	NF	no factor from 2^67 to 2^68
2023-01-22	Dobri	F	Factor: 12873427623209 / TF: 1-64
2023-01-22	Dobri	F	Factor: 3022168588199 / TF: 1-64
2023-01-22	Dobri	F	Factor: 6125492767 / TF: 1-64
2023-01-22	Jonathan Webb	CERT	PRP Certification Proof certified good
2023-01-22	Dobri	C-PRP	M14379091/6125492767/3022168588199/12873427623209/4416708991765489477006852574261424263844551 : 91D929A0EB409FC0 PRP proof power = 8 PRP: Verified Proof certified good
2023-01-18	nordi	F-PM1	Factor: 4416708991765489477006852574261424263844551 / (P-1, B1=300000, B2=214790940)
2022-11-15	nordi	NF-PM1	B1=300000
2008-09-08	Will Edgington	F	Factor: 12873427623209
2008-09-08	Will Edgington	F	Factor: 3022168588199