4 218 173 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
284222502759660919	18	58.0	old
20493331844568690625977947349107900503	38	123.9	2022-10-04 09:01:03

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)	2017-09-20	kkmrkkblmbrbk	2105205B397BC73C	1	0	1	3
Verified (Factored)	2018-01-22	Oliver Kruse	2105205B397BC73C	1	1371564	1	3
Verified	2022-10-09	Perig	D5BAE28534B9A242	2	768141	5	3

P-1 factors

Date	Factor	B1	B2
2022-10-04	20493331844568690625977947349107900503	200000	135233670

History

Date	User	Type	Result
2022-10-09	Perig	CERT	PRP Certification Proof certified good
2022-10-09	Perig	C-PRP	M4218173/284222502759660919/20493331844568690625977947349107900503 : D5BAE28534B9A242 PRP proof power = 7 PRP: Verified Proof certified good
2022-10-04	USAFSS	F-PM1	Factor: 20493331844568690625977947349107900503 / (P-1, B1=200000, B2=135233670)
2018-01-22	Oliver Kruse	C-PRP	M4218173/284222502759660919 : 2105205B397BC73C PRP: Verified (Factored) PRP without proof (not generated)
2017-09-20	kkmrkkblmbrbk	C-PRP	M4218173/284222502759660919 : 2105205B397BC73C PRP: Verified (Factored) PRP without proof (not generated)