Let $ϕ(n)$ be the Euler's totient function, there exist infinitely many $n$
such that $ϕ(n)< ϕ(n - ϕ(n))$
Reference: [GLW01] Grytczuk, A. and Luca, F. and W\'ojtowicz, M., A conjecture of {E}rdős concerning inequalities for the
{E}uler totient function.
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