# show that the square of any positive integer cannot be written in tne form of 5q+2 or 5q+3. for any integer q plz don't send any links as it is first time.

Let

*a*be any positive integer and*b*= 5.Then

*a*= 5*m*+*r*for some integer*m*≥ 0And

*r*= 0, 1, 2, 3, 4, 5 because 0 ≤*r*< 3Therefore,

*a*= 5*m*or 5*m*+ 1 or 5*m*+ 2 or 5*m*+ 3 or 5*m*+ 4Hence, it can be said that the square of any positive integer is either of the form 5

*q*or 5*q*+ 1 or 5*q*+ 4 and not of the form of 5*q*+2 and 5*q*+3.
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