Square number ( $n^{2}$ )

n^{2}

for some integer

n

. Consecutive nonnegative squares differ by

(n + 1)^{2} - n^{2} = 2 n + 1

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A square number, also known as a perfect square, is a number that can be expressed as the product of an integer multiplied by itself. In other words, a square number is the result of squaring an integer (raising it to the power of 2).