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A Fibonacci-Like Sequence of Composite Numbers

by Donald E. Knuth (Stanford University)

This article originally appeared in:
Mathematics Magazine
February, 1990

Subject classification(s): Primes | Number Theory | Algebra and Number Theory | Fibonacci Sequence | Number Patterns | Patterns and Sequences | Numbers and Computation
Applicable Course(s): 4.3 Number Theory | 3.7 Discrete Math

The author finds a pair of positive integers that generates a generalized Fibonacci sequence containing no prime numbers.

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Capsule Course Topic(s):
Number Theory | Congruences, Solving Congruence Equations
Number Theory | Number Sequences
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