# Pretty cool Fibonacci

Let $${ F }_{ n }$$ be the $$n$$th Fibonacci number. Find the first four digits of the number of digits of $${ F }_{ p }$$, where $$p={ 10 }^{ 12 }$$.

Details: $${ F }_{ n }={ F }_{ n-1 }+{ F }_{ n-2 }$$ and $${ F }_{ 0 }=0$$ and $${ F }_{ 1 }=1$$.

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