13.

Part of 2024 Korea Junior Math Olympiad (First Round)

Problems(1)

number theory and gauss

Source: 2024 KJMO round 1

Find the number of positive integer n, which follows the following

\bigstar

n=[\frac{m^3}{2024}]

n

has a positive integer

m

that follows this equation (

m \le 1000

number theoryGauss