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On Integer Numbers with Locally Smallest Order of Appearance in the Fibonacci Sequence

On Integer Numbers with Locally Smallest Order of Appearance in the Fibonacci Sequence

Let F n be the n th Fibonacci number. The order of appearance z ( n ) of a natural number n is defined as the smallest natural number k such that n divides F k . For instance, for all n = F m ≥ 5, we have z …