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What are the square numbers between 1 & 500?
##1^2## to ##22^2##
##22^2 = 484## and ##23^2 = 529##
So the square numbers between ##1## and ##500## are ##1^2## to ##22^2##:
##1, 4, 9, 16, 25, 36, 49, 64, 81, 100##
##121, 144, 169, 196, 225, 256, 289, 324, 361, 400##
##441, 484##