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number theory and gauss

Source: 2024 KJMO round 1

October 26, 2024
number theoryGauss

Problem Statement

Find the number of positive integer n, which follows the following
★ \bigstar n=[m32024] n=[\frac{m^3}{2024}] nn has a positive integer mm that follows this equation (m≤1000 m \le 1000)
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