On a Hoggatt-Bergum Paper with Totient Function Approach for Divisibility and Congruence Relations
Sahib Singh · The Fibonacci Quarterly · 1990
During their discussion of divisibility and congruence relations of the Fibonacci and Lucas numbers, Hoggatt & Bergum found values of n satisfying the congruences Fn E 0 (mod ft) or Ln E 0 (mod ft). In this connection, Hoggatt & Bergum's research appears in Theorems 1, 3, 5, 6, and 7 of [4]. The present paper originated on the same lines in search of values of n that satisfy (Fn) E 0 (mod ft) or (j)(Ln) E 0 (mod ft), where § is the totient function. Before going into the analysis of the problem, we state some results that will be quoted frequently.