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 money paid in every case was a square number of shillings, because they bought 1 at 1s.,

From Amusements in Mathematics by Dudeney, Henry Ernest

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

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

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

From Amusements in Mathematics by Dudeney, Henry Ernest