4 971 019 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
914667497	9	29.8	old
214186730706427406328217	24	77.5	2023-08-07 19:00:24

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	BD7516E7CE2F442C	1	0	1	3
Verified (Factored)	2018-04-19	ATH	BD7516E7CE2F442C	1	744873	1	3
Verified	2023-08-07	Stef42	EC62A879711B3F4E	2	4794122	5	3

P-1 factors

Date	Factor	B1	B2
2023-08-07	214186730706427406328217	6000000	38935904280

History

Date	User	Type	Result
2023-08-07	Naegi Makoto	CERT	PRP Certification Proof certified good
2023-08-07	Stef42	C-PRP	M4971019/914667497/214186730706427406328217 : EC62A879711B3F4E PRP proof power = 7 PRP: Verified Proof certified good
2023-08-07	Stef42	F-PM1	Factor: 214186730706427406328217 / (P-1, B1=6000000, B2=38935904280)
2018-04-19	ATH	C-PRP	M4971019/914667497 : BD7516E7CE2F442C PRP: Verified (Factored) PRP without proof (not generated)
2017-09-20	kkmrkkblmbrbk	C-PRP	M4971019/914667497 : BD7516E7CE2F442C PRP: Verified (Factored) PRP without proof (not generated)