Show that the square of any positive integer cannot be of the form 6m +2 or 6m+ 5 for any integer m.
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where, m = (6q + 6q + 1) is an integer. where, m =(6q2 + 8q + 2) is an integer. where, m = (6q2 + 10q + 1) is an integer. Hence, the square of any positive integer cannot be of the form 6m + 2 or 6m + 5 for any integer m.
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6+2m=25
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