UPPER BOUND RESIDUES OF THE FIBONACCI SEQUENCE MODULO PRIMES

FIBONACCI QUARTERLY（2022）

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摘要

We show that vertical bar Omega(p)vertical bar < 3(p + 1)/4 + root p/2 for all primes p, where Omega p is the set of Fibonacci numbers modulo prime p. In the case of maximal Pisano periods, we determine the exact value of vertical bar Omega(p)vertical bar .

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