4 553 489 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
13467508350137	14	43.6	old
6483748823058431	16	52.5	2014-08-12 10:46:06
1496803808751352183351	22	70.3	2023-03-29 17:45:03

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)	2017-11-17	kkmrkkblmbrbk	A23C678FB5C57295	2	870339	5	3
Verified (Factored)	2018-02-23	Oliver Kruse	A23C678FB5C57295	2	4342400	5	3
Verified	2023-04-05	LordJulius	A23C678FB5C57295	3	2479506	5	3

P-1 factors

Date	Factor	B1	B2
2023-03-29	1496803808751352183351	240000	124122570

History

Date	User	Type	Result
2023-04-05	curtisc	CERT	PRP Certification Proof certified good
2023-04-05	LordJulius	C-PRP	M4553489/13467508350137/6483748823058431/1496803808751352183351 : A23C678FB5C57295 PRP proof power = 7 PRP: Verified Proof certified good
2023-03-29	USAFSS	F-PM1	Factor: 1496803808751352183351 / (P-1, B1=240000, B2=124122570)
2018-02-23	Oliver Kruse	C-PRP	M4553489/13467508350137/6483748823058431 : A23C678FB5C57295 PRP: Verified (Factored) PRP without proof (not generated)
2017-11-17	kkmrkkblmbrbk	C-PRP	M4553489/13467508350137/6483748823058431 : A23C678FB5C57295 PRP: Verified (Factored) PRP without proof (not generated)
2014-08-12	TJAOI	F	Factor: 6483748823058431