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

See Examples For:

square number

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

From Scientific American ● Mar. 3, 2023

It is required to find two square numbers whose sum is a given square number.

From Encyclopaedia Britannica, 11th Edition, Volume 9, Slice 7 "Equation" to "Ethics" by Various

The number of men would be sixty-one times a square number; but when Harold himself joined in the fray they were then able to form one large square.

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

Find the smallest square number that may be expressed as the sum of more than three consecutive cubes, the cube 1 being barred.

From Amusements in Mathematics by Dudeney, Henry Ernest