# Fibonacci in 2015

Number Theory Level 4

Let $$f(n)$$ be the $$n$$th Fibonacci number, where $$f(0) = 0$$ and $$f(1) = 1$$. Which of the following is equal to

$f(2015^{2015} + 2020) - f(2015^{2015} + 2010)?$

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