Prime Reciprocals
Problem
Given that P = {$p$1, $p$2, ... , $p$$k$} is a set of distinct, not necessarily consecutive primes, prove that 1/$p$1 + 1/$p$2 + ... 1/$p$$k$ is never integer.
Problem ID: 238 (02 Aug 2005) Difficulty: 4 Star
Given that P = {$p$1, $p$2, ... , $p$$k$} is a set of distinct, not necessarily consecutive primes, prove that 1/$p$1 + 1/$p$2 + ... 1/$p$$k$ is never integer.