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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

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