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

In fact, the sum of any number of consecutive cubes, beginning always with 1, is in every case a square number.

From Amusements in Mathematics by Dudeney, Henry Ernest

The foundation is 146-1/2 feet square; number of stones used above the 130-foot level, 19,163; total weight stone used in work, 81,120 tons.

From The Handy Cyclopedia of Things Worth Knowing A Manual of Ready Reference by Triemens, Joseph

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 Heath, Thomas Little

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