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shapi
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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?

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shapi
  • 53
  • 1
  • 5

Arbitrarily large $n$ divides $F_n$

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?