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.

---

square number British  

noun

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

---

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

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

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

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