A sequence of positive integers such that is irrational for all integer sequences . Erdős showed that (OEIS A001146) is an irrationality sequence.
Irrationality Sequence
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References
Guy, R. K. "Irrationality Sequence." §E24 in Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag, p. 225, 1994.Sloane, N. J. A. Sequence A001146/M1297 in "The On-Line Encyclopedia of Integer Sequences."Referenced on Wolfram|Alpha
Irrationality SequenceCite this as:
Weisstein, Eric W. "Irrationality Sequence." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/IrrationalitySequence.html