8 784 833 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
2855773511641	13	41.4	old
14294631976157833	17	53.7	2014-10-04 11:42:48
57030417246781219566649	23	75.6	2024-09-10 05:15:55

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2019-01-22	artorollo	07FB47A024BE3786	2	5195745	5	3
Verified (Factored)	2020-09-05	MarkS	07FB47A024BE3786	2	3364726	5	3
Verified	2024-09-16	ANONYMOUS	07FB47A024BE3786	3	176822	5	3

P-1 factors

Date	Factor	B1	B2
2024-09-10	57030417246781219566649	1687000	1687000

History

Date	User	Type	Result
2025-04-24	beep	NF-PM1	B1=2030000, B2=10254344100
2024-09-18	Morilli	CERT	PRP Certification Proof certified good
2024-09-16	ANONYMOUS	C-PRP	M8784833/2855773511641/14294631976157833/57030417246781219566649 : 07FB47A024BE3786 PRP proof power = 8 PRP: Verified Proof certified good
2024-09-10	Stef42	F-PM1	Factor: 57030417246781219566649 / (P-1, B1=1687000)
2020-09-05	MarkS	C-PRP	M8784833/2855773511641/14294631976157833 : 07FB47A024BE3786 PRP: Verified (Factored) PRP without proof (not generated)
2019-01-22	artorollo	C-PRP	M8784833/2855773511641/14294631976157833 : 07FB47A024BE3786 PRP: Verified (Factored) PRP without proof (not generated)
2014-10-04	TJAOI	F	Factor: 14294631976157833 / TF: 53-54