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Is it true that there exists arbitrarily large$n \in \mathbb{N}$ with arbitrarily many prime factors such that $n$ divides $F_n$, where $F_n$ represents the n-th Fibonacci number?
Is it true that there exists arbitrarily large$n \in \mathbb{N}$ such that $n$ divides $F_n$, where $F_n$ represents the n-th Fibonacci number?
Is it true that there exists $n \in \mathbb{N}$ with arbitrarily many prime factors such that $n$ divides $F_n$, where $F_n$ represents the n-th Fibonacci number?