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On Lucas Pseudoprimes of the Form ax 2 + bxy + cy 2

In: Applications of Fibonacci Numbers

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  • A. Rotkiewicz

Abstract

A composite number n is called a pseudoprime if n | 2 n − 2. In 1963 I proved [6] that every arithmetic progression ax + b(x = 0,1,2,···), where (a,b) = l, contains infinitely many pseudoprimes. In 1964 in a joint paper with A. Schinzel [9] we proved some theorems on pseudoprimes of the form ax 2 + bxy + cy 2. Here we shall give a generalization of the results from the above paper for Lucas pseudoprimes.

Suggested Citation

  • A. Rotkiewicz, 1996. "On Lucas Pseudoprimes of the Form ax 2 + bxy + cy 2," Springer Books, in: Gerald E. Bergum & Andreas N. Philippou & Alwyn F. Horadam (ed.), Applications of Fibonacci Numbers, pages 409-421, Springer.
    • Handle: RePEc:spr:sprchp:978-94-009-0223-7_34
    DOI: 10.1007/978-94-009-0223-7_34
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