4 792 871 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
9585743	7	23.2	old
500548484285120603084953	24	78.7	2023-03-08 18:43:17

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	8D9D392B5657A008	1	0	1	3
Verified (Factored)	2018-03-21	ATH	8D9D392B5657A008	1	160627	1	3
Verified	2023-03-14	Naegi Makoto	305AA0A0C95EE450	2	3925735	5	3

P-1 factors

Date	Factor	B1	B2
2023-03-08	500548484285120603084953	8000000	11545323900

History

Date	User	Type	Result
2023-03-14	Dmitriy Degtiarev	CERT	PRP Certification Proof certified good
2023-03-14	Naegi Makoto	C-PRP	M4792871/9585743/500548484285120603084953 : 305AA0A0C95EE450 PRP proof power = 7 PRP: Verified Proof certified good
2023-03-08	Stef42	F-PM1	Factor: 500548484285120603084953 / (P-1, B1=8000000, B2=11545323900)
2018-03-21	ATH	C-PRP	M4792871/9585743 : 8D9D392B5657A008 PRP: Verified (Factored) PRP without proof (not generated)
2017-09-20	kkmrkkblmbrbk	C-PRP	M4792871/9585743 : 8D9D392B5657A008 PRP: Verified (Factored) PRP without proof (not generated)