MathDB
Sum of Consecutive Squares is Square

Source: 2019 Taiwan TST Round 1

March 31, 2020
number theory

Problem Statement

Find all positive integers n n such that there exists an integer m m satisfying 1n∑k=mm+n−1k2 \frac{1}{n}\sum\limits_{k=m}^{m+n-1}{k^2} is a perfect square.
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