Square numbers between 1 and 60 are the squares of integers from 1 to 7. These numbers are: 1 (1²), 4 (2²), 9 (3²), 16 (4²), 25 (5²), 36 (6²), and 49 (7²). Therefore, the square numbers in this range are 1, 4, 9, 16, 25, 36, and 49.
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