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Prime Reciprocals
Problem
Given that P = {p1, p2, ... , pk} is a set of distinct, not necessarily consecutive primes, prove that 1/p1 + 1/p2 + ... 1/pk is never integer.
Problem ID: 238 (02 Aug 2005) Difficulty: 4 Star
Given that P = {p1, p2, ... , pk} is a set of distinct, not necessarily consecutive primes, prove that 1/p1 + 1/p2 + ... 1/pk is never integer.
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