An inequality involving three consecutive primes – math.stackexchange.com

An inequality involving three consecutive primes – math.stackexchange.com

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Can you provide a proof or a counterexample to the following claim : Let $p,q,r$ be three consecutive prime numbers such that $p\ge 11 $ and $p<q<r$ , then $\frac{1}{p^2}< \frac{1}{q^2} + ...

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