OPEN
This is open, and cannot be resolved with a finite computation.
Is\[\sum_n \frac{\phi(n)}{2^n}\]irrational? Here $\phi$ is the
Euler totient function.
The decimal expansion of this sum is
A256936 on the OEIS.
View the LaTeX source
This page was last edited 28 September 2025.
When referring to this problem, please use the original sources of Erdős. If you wish to acknowledge this website, the recommended citation format is:
T. F. Bloom, Erdős Problem #249, https://www.erdosproblems.com/249, accessed 2025-11-16
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