11 * 142 * 293 * 3164 * 4255 * 5366 * 6497 * 7648 * 8819 * 910010 * 1012111 * 1114412 * 1216913 * 1319614 * 1422515 * 1525616 * 1628917 * 1732418 * 1836119 * 1940020 * 2044121 * 2148422 * 2252923 * 2357624 * 2462525 * 2567626 * 2672927 * 2778428 * 2884129 * 2990030 * 3096131 * 31102432 * 32108933 * 33115634 * 34122535 * 35129636 * 36136937 * 37144438 * 38152139 * 39160040 * 40168141 * 41176442 * 42184943 * 43193644 * 44202545 * 45211646 * 46220947 * 47230448 * 48240149 * 49250050 * 50260151 * 51270452 * 52280953 * 53291654 * 54
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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!
1;2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21.22.23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100
There is just one set of square numbers; it is the set of all numbers which are squares of whole numbers:- i.e 1, 4, 9, 16, 25, 36, 49, ... and so on up to infinity in other words, it's the set of all numbers whose square root is a whole number.
3003
The two square numbers that add up to 225 are 144+81 = 225