prove that square of any positive integer is of the form of 5q,5q+1,5q+4
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m²=(5q)² _ m²= 25q² this is in the form of a=bq+r , so here b is always greater then the remainder r .. so we can also write this in the form of 5q,5q+1,5q+2,5q+3,5q+4 here r is0, 1,2,3,4
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I have proved
just see the attachment
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