The chord of the contact of the tangents drawn form 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^mc^n .where m,n ,p€ N and m,n,p are prime to each other ,then the value of m+n+p+3 is:

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