$\mathrm{Fibonacci}(n)$ modulo $n$ sequence
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 4 (2013), pp. 15-23 Cet article a éte moissonné depuis la source Math-Net.Ru

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We study the behavior of the $\mathrm{Fibonacci}(n)\mod n$ sequence and pay attention to some subsequences: $n$ runs through the set of prime numbers and the cases with $n = qp$, where $p$ runs through the set of prime numbers and $q$ is a fixed natural number. The behavior of the sequence is investigated using the Mathematica system. Some hypotheses are formulated and proved.
Keywords: Fibonacci sequence, remainders, Mathematica.
Mots-clés : congruence relation
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V. M. Zyuz'kov. $\mathrm{Fibonacci}(n)$ modulo $n$ sequence. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 4 (2013), pp. 15-23. http://geodesic.mathdoc.fr/item/VTGU_2013_4_a1/

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