I noticed this connection as I was waking up this morning:
62/2 = 31
63/3 = 21
64/4 = 16
65/5 = 13
66/6 = 11
Is there any other sequence of 5 consecutive numbers, such that 2-6 will go into them evenly? The reason it works is that 60 can be divided evenly by 2, 3, 4, 5 and 6. Then you take the remainder and apportion the extra 1 to 30, 20, 15, 12 and 10.
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