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\Sigma 1/pq where summation is over all coprime integers p,q under conditions

Source: IMAR 2012 p2

September 27, 2018

number theorySumcoprime

Problem Statement

Given an integer

n \ge 2

, evaluate

\Sigma \frac{1}{pq}

,where the summation is over all coprime integers

p

and

q

such that

1 \le p < q \le n

and

p + q > n