Suppose there is a number A.
Let its divisors are : A(itself) , 1, x, y, z,.....
Let B be a number such that B = 1 + x + y + z +.... (Not adding A)
Let the divisors of B are : B, 1, p, q, r,....
and A = 1 + p + q + r + s + ..... (Not adding B)
Find a minimum Number pair ( A, B) satisfying above condition.