3-square-1 = 1 * 8; 5-square-1 = 3 * 8; 7-square-1 = 6 * 8; why? ditto

3-square-1 = 1 * 8; 5-square-1 = 3 * 8; 7-square-1 = 6 * 8; why? ditto

The Square-1 of a must be divisible by 8 (a is odd)
Proof: let a be 2n + 1, (n is an integer)
Square of (2n + 1) - 1 = 2n (2n + 2) = 4N (n + 1)
n. N + 1 is a continuous integer, so one of them must be even
So n (n + 1) is a multiple of 2
So the square of (2n + 1) must be divisible by 8
That is, the square of a must be divided by 8
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