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

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

From Amusements in Mathematics by Henry Ernest Dudeney

The highest square number under the same conditions is, 923,187,456, the square of 30,384.

From Amusements in Mathematics by Henry Ernest Dudeney

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 Henry Ernest Dudeney

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 Henry Ernest Dudeney