THE TEACHING OF MATHEMATICS

THE TEACHING OF MATHEMATICS
Teaching perspectives of the Frobenius coin problem of two denominators
Giorgos Kapetanakis and Ioannis Rizos

Abstract

Let $a,b$ be positive, relatively prime, integers. Our goal is to characterize, in an elementary way, all positive integers $c$ that can be expressed as a linear combination of $a,b$ with non-negative integer coefficients and discuss the teaching perspectives of our methods.

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Keywords: Coin problem; Frobenius number; Diophantine equations; Number Theory.

DOI: 10.57016/TM-BJZO1296

Pages:  57-67     

Volume  XXVI ,  Issue  2 ,  2023