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# square number

## noun

- a number that is the square of another integer, as 1 of 1, 4 of 2, 9 of 3, etc.

square number

## noun

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

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## Word History and Origins

Origin of square number^{1}

First recorded in 1550–60

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## Example Sentences

It is required to find two square numbers whose sum is a given square number.

From Project Gutenberg

Now, can you put them all together so as to form a single square number—(I) the smallest possible, and (II) the largest possible?

From Project Gutenberg

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

From Project Gutenberg

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

From Project Gutenberg

Any square number may be expressed as the sum of two squares in an infinite number of different ways.

From Project Gutenberg

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