rank of apparition

In number theory, the "rank of apparition" describes the smallest index at which a given number divides a term in a divisibility sequence, often used in the context of the Fibonacci sequence.

πŸ‡ΊπŸ‡Έ US Voice:
πŸ‡¬πŸ‡§ UK Voice:

Definition

C2Number Theory

(technical, academic)The smallest index at which a given number divides a term in a divisibility sequence, commonly used with the Fibonacci sequence.

Example

  • The rank of apparition of 5 in the Fibonacci sequence is 5 because 5 divides the fifth Fibonacci number.