Question

show that square of any positive integer cannot be of the form 6m+2 or 6m+5 for any integer m.

Answer 1

let n be any integer
n=6q, n=6q+1 ..n=6q+5
r=6
Case 1.=n=6q
n²=(6)²=36q²
6(6q²)=6m
after this will see in pictures