The chord of the contact of tangents drawn from point on the circle $$x^2 + y^2 = a^2$$ to the circle $$x^2 + y^2 = b^2$$ touches the circle $$x^2 + y^2 = c^2$$ such that $$b^p = a^m c^n$$ . where $$m, n, p \in N$$, and m, n, p are prime to each other, then the value of m + n + p + 3 is:

A

5

B

6

C

2

D

7