4 074 089 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
9020033047	10	33.1	old
37076743983359	14	45.1	2008-09-30 21:34:25
3644604868421990708449	22	71.6	2022-10-06 17:32:22

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)	2017-09-20	kkmrkkblmbrbk	77B9ACC65FEBEB83	2	0	1	3
Verified (Factored)	2018-01-10	Oliver Kruse	77B9ACC65FEBEB83	2	1570079	1	3
Verified	2022-10-10	LordJulius	E31A11375E88BEF5	3	2035498	5	3

P-1 factors

Date	Factor	B1	B2
2022-10-06	3644604868421990708449	200000	135233670

History

Date	User	Type	Result
2022-10-10	Tony_NZ	CERT	PRP Certification Proof certified good
2022-10-10	LordJulius	C-PRP	M4074089/9020033047/37076743983359/3644604868421990708449 : E31A11375E88BEF5 PRP proof power = 7 PRP: Verified Proof certified good
2022-10-06	USAFSS	F-PM1	Factor: 3644604868421990708449 / (P-1, B1=200000, B2=135233670)
2018-01-10	Oliver Kruse	C-PRP	M4074089/9020033047/37076743983359 : 77B9ACC65FEBEB83 PRP: Verified (Factored) PRP without proof (not generated)
2017-09-20	kkmrkkblmbrbk	C-PRP	M4074089/37076743983359/9020033047 : 77B9ACC65FEBEB83 PRP: Verified (Factored) PRP without proof (not generated)
2008-09-30	markr	F	Factor: 37076743983359