Mathematics Elementary Number Theory Euclid’s Division Lemma

By applying Euclid's division lemma, the cube of any positive integer is of the form:

1
9 m, 9 m + 2 or 9 m + 7
2
9 m, 9 m + 1 or 9 m + 8
3
9 m, 9 m + 4 or 9 m + 5
4
9 m, 9 m + 3 or 9 m + 6

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