What are the first 1000 square numbers?

A square number is any number multiplied by itself.

1 is a square number, since 1 x 1 = 1.

2 is not, since there is no integer that you can multiply by itself to get 2.

4 is the next square number, since 2 x 2 = 4.

Squaring 3, 4, and 5 give the next three square numbers: 9, 16, and 25.

To get the first thousand square numbers, take each of the first thousand natural numbers (1, 2, 3, ... 1000) and multiply them by themselves. This will produce the first thousand square numbers, ranging from 1 (1x1) to 1,000,000 (1,000 x 1,000).