1001
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The first twenty square numbers are:1,49162536496481100121144169196225256289324361400
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!
Between 11000 and 2000 there are 8998 whole numbers! You really want them all? There are: 11001, 11002, 11003, 11004, ..., 19996, 19997, 19998, 19999.
There are 11520 of them.
All numbers are square numbers, for example, the square root of 2 squared is 2. If you mean perfect squares, here's a list: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100