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

If the reader were required to determine whether or not 15,763,530,163,289 is a square number, how would he proceed?

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

This is to some extent confirmed by another tradition that Pythagoras discovered a general formula for finding two numbers such that the sum of their squares is a square number.

From Archimedes Men of Science by Thomas Little Heath

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

From Amusements in Mathematics by Henry Ernest Dudeney