show that every positive odd integer is of the from 4q+1 or 4q+3 where q is some integer
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Show that any positive odd integer is of the form 4q+1 or 4q+3 where q is some integer. Show that the square of an odd positive integer can be of the form 6q+1 or 6q+3 for some integer q. ... For any positive integers n, prove that n3-n is divisible by 6.
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