2 163 361 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 4 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
566800583	9	29.1	old
144352426087	12	37.1	2008-07-14 20:21:27
16932206854967	14	43.9	2008-09-30 14:36:35
19550133100244009460929	23	74.0	2022-01-30 16:50:24

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	165 / 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	Oliver Kruse	71299028165F95AB	3	0	1	3
Verified (Factored)	2017-11-19	kkmrkkblmbrbk	71299028165F95AB	3	731032	1	3
Verified	2022-01-30	SRJ2877	F234206BC33A7B9E	4	1335288	5	3

History

Date	User	Type	Result
2022-01-31	Cavalico	CERT	PRP Certification Proof certified good
2022-01-30	SRJ2877	C-PRP	M2163361/566800583/144352426087/16932206854967/19550133100244009460929 : F234206BC33A7B9E PRP proof power = 7 PRP: Verified Proof certified good
2022-01-30	_p95holder_	F-ECM	Factor: 19550133100244009460929 / (ECM curve 2, B1=50000, B2=5000000)
2017-11-19	kkmrkkblmbrbk	C-PRP	M2163361/566800583/144352426087/16932206854967 : 71299028165F95AB PRP: Verified (Factored) PRP without proof (not generated)
2017-10-09	Oliver Kruse	C-PRP	M2163361/566800583/144352426087/16932206854967 : 71299028165F95AB PRP: Verified (Factored) PRP without proof (not generated)
2016-04-03	alpertron	NF-PM1	B1=500000, B2=15000000, E=12
2008-09-30	markr	F	Factor: 16932206854967
2008-07-14	George Woltman	F-ECM	Factor: 144352426087