Problem #140
Bored with GCD
Define P(m) = \prod_{k = 1 ,gcd(k,m) = 1}^m k
Also F(n) = \sum_{i=1}^{n} P(i) mod i
Find the value of \sum_{i=1}^{12} F(10^i) mod 1000000007
Define P(m) = \prod_{k = 1 ,gcd(k,m) = 1}^m k
Also F(n) = \sum_{i=1}^{n} P(i) mod i
Find the value of \sum_{i=1}^{12} F(10^i) mod 1000000007