They are the squares of the numbers 1 to 31. Use a calculator to find them.
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There are 31 perfect square numbers between 1 and 1000 (including 1).
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).
There is an infinity of squares that are over 1000, starting with 322 = 1024.
1000+1000 1000x2
1,4,9,16,25,36,49,64,81,100,121,144,169,196,225,256,289,324,361,400 All the square numbers up to 20!