4 022 783 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
8045567	7	22.9	old
278820445327511815240846830394938314849	39	127.7	2022-06-28 16:35:10

ECM

Digits	B1	Curves
25	50000	3 / 280

Estimated T-Level: 20.1 ⓘ

TF below 2^62 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-11-12	kkmrkkblmbrbk	38EA196FAA85CA96	1	3036228	5	3
Verified (Factored)	2018-01-05	meracayn	38EA196FAA85CA96	1	612859	5	3
Verified	2022-06-29	onlinegame	38EA196FAA85CA96	2	867731	5	3

P-1 factors

Date	Factor	B1	B2
2022-06-28	278820445327511815240846830394938314849	400000000	64400000000

History

Date	User	Type	Result
2022-06-29	James Heinrich	CERT	PRP Certification Proof certified good
2022-06-29	onlinegame	C-PRP	M4022783/8045567/278820445327511815240846830394938314849 : 38EA196FAA85CA96 PRP proof power = 7 PRP: Verified Proof certified good
2022-06-28	onlinegame	F-PM1	Factor: 278820445327511815240846830394938314849 / (P-1, B1=400000000, B2=64400000000)
2018-01-05	meracayn	C-PRP	M4022783/8045567 : 38EA196FAA85CA96 PRP: Verified (Factored) PRP without proof (not generated)
2017-11-12	kkmrkkblmbrbk	C-PRP	M4022783/8045567 : 38EA196FAA85CA96 PRP: Verified (Factored) PRP without proof (not generated)