A sequence of Positive Integers such that is Irrational for all integer sequences . Erdös showed that is an irrationality sequence.

**References**

Guy, R. K. ``Irrationality Sequence.'' §E24 in
*Unsolved Problems in Number Theory, 2nd ed.* New York: Springer-Verlag, p. 225, 1994.

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1999-05-26