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The F i b o n a c c i numbers s a t i s f y t h e well-known e q u a t i o n f o r g r e a t e s t common d i v i s o r s (cf. [ 2 ] , [ 4 ]) : (F-, F.) = F (itj) f o r a l l i , j > 1. (1) Equation (1) is also satisfied by some other second-order recurring sequences of integers, e.g., Pell numbers or Fibonacci polynomials evaluated at a fixed integer (cf.… (More)

An analogue for composite moduli m ≥ 2 of the Wilson quotient is studied. Various congruences are derived, and the question of when these quotients are divisible by m is investigated; such an m will be called a " Wilson number ". It is shown that numbers in certain infinite classes cannot be Wilson numbers. Eight new Wilson numbers up to 500 million were… (More)

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