Program in python There is function F. Give an integer n (n ≥ 2), consider the prime factorization n=p1¹1 P2¹2 Pr Let g = gcd(k₁, k₂. k) and m, = k₁/g The function F is defined as: F(n) = P11 P22 Pr Now, we have to summing up the value of this function for the first N natural numbers, we have w to evaluate the following expression for a given value of N. F(2) + F(3)+...+ F(N). As the above sum can be extremely large Example if F(125)=5, thus the answer for this is by five more than for the previous one.

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