rank of apparition

== English == === Noun === rank of apparition (plural ranks of apparition) (number theory) Given a positive integer m and a divisibility sequence Sk, the smallest index k such that Sk is divisible by m;such an index for some generalisation of the concept (for example to allow multiple ranks of apparition for a given m). Synonym: (for the Fibonacci sequence) Fibonacci entry point 1996, D. L. Wells, Residue Counts Modulo Three for the Fibonacci Triangle, G. E. Bergum, Andreas N. Philippou, Alwyn F. Horadam (editors), Applications of Fibonacci Numbers, Kluwer Academic, Softcover reprint, page 535, A similar identification between Pascal's Triangle modulo p and the Fibonacci Triangle modulo p can be made for primes p which have the length of the period equal to twice their rank of apparition in the Fibonacci Sequence. ==== Usage notes ==== Typically, the integer whose rank of apparition is wanted (here called m) is specified to be a prime number (and called p). This reflects the fact that the principal issue at hand is divisibility. ==== Translations ==== === Further reading === Fibonacci prime § Rank of apparition on Wikipedia.Wikipedia Wall–Sun–Sun prime on Wikipedia.Wikipedia