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Let \[V'(x)=\#\{\phi(m) : 1\leq m\leq x\}\] and \[V(x)=\#\{\phi(m) \leq x : 1\leq m\}.\] Does $\lim V(x)/V'(x)$ exist? Is it $>1$?
#417
:
[Er79e]
[ErGr80]
[Er98]
number theory
It is trivial that $V'(x) \leq V(x)$. In
[Er98]
Erdős suggests the limit may be infinite. See also
[416]
.
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