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2

Part of 2012 IMAR Test

Problems(1)

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

Source: IMAR 2012 p2

9/27/2018
Given an integer n≥2n \ge 2, evaluate Σ1pq\Sigma \frac{1}{pq} ,where the summation is over all coprime integers pp and qq such that 1≤p<q≤n1 \le p < q \le n and p+q>np + q > n.
number theorySumcoprime