Erdős Problems

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OPEN

Let $a_n$ be an infinite sequence of positive integers such that $\sum \frac{1}{a_n}$ converges. There exists some integer $t\geq 1$ such that \[\sum \frac{1}{a_n+t}\] is irrational.

#266: [ErGr80]

irrationality

This conjecture is due to Stolarsky.