square number

American  

noun

1. a number that is the square of another integer, as 1 of 1, 4 of 2, 9 of 3, etc.

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square number British  

noun

1. an integer, such as 1, 4, 9, or 16, that is the square of an integer

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Etymology

Origin of square number

First recorded in 1550–60

Example Sentences

After all, it is neither a prime number nor a power of 2 nor a square number.

From Scientific American • Mar. 3, 2023

Any square number may be expressed as the sum of two squares in an infinite number of different ways.

From Amusements in Mathematics by Dudeney, Henry Ernest

Therefore in every case where 8x2 + 1 = a square number, x2 is also a triangular.

From Amusements in Mathematics by Dudeney, Henry Ernest

Then came the further order, "All pyramids are to contain a square number of balls."

From Amusements in Mathematics by Dudeney, Henry Ernest

Every triangular number is such that if we multiply it by 8 and add 1 the result is an odd square number.

From Amusements in Mathematics by Dudeney, Henry Ernest