2 173 363 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
4155470057	10	32.0	old
404223071506937	15	48.5	2014-04-08 10:37:05
419045100099808222595441	24	78.5	2022-03-01 21:29:14

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	164 / 640

Estimated T-Level: 26.3 ⓘ

TF below 2^82 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-09	kkmrkkblmbrbk	F9743246B357E484	2	0	1	3
Verified (Factored)	2017-10-22	Oliver Kruse	F9743246B357E484	2	370808	1	3
Verified	2022-03-02	SRJ2877	A306DBA3E373827B	3	2135013	5	3

History

Date	User	Type	Result
2022-03-02	qtdszws	CERT	PRP Certification Proof certified good
2022-03-02	SRJ2877	C-PRP	M2173363/4155470057/404223071506937/419045100099808222595441 : A306DBA3E373827B PRP proof power = 7 PRP: Verified Proof certified good
2022-03-01	_p95holder_	F-ECM	Factor: 419045100099808222595441 / (ECM curve 7, B1=50000, B2=5000000)
2017-10-22	Oliver Kruse	C-PRP	M2173363/4155470057/404223071506937 : F9743246B357E484 PRP: Verified (Factored) PRP without proof (not generated)
2017-10-09	kkmrkkblmbrbk	C-PRP	M2173363/4155470057/404223071506937 : F9743246B357E484 PRP: Verified (Factored) PRP without proof (not generated)
2016-03-16	alpertron	NF-PM1	B1=500000, B2=15000000, E=12
2014-04-08	TJAOI	F	Factor: 404223071506937