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

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

From Amusements in Mathematics by Dudeney, Henry Ernest

It will be found in either case that if the contents of any two of the three boxes be combined, they form a square number of coins.

From Amusements in Mathematics by Dudeney, Henry Ernest

Let a be a square number; then, putting g� for a, we have y� = g� + bx + cx�.

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