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arXiv · 2603.03104

On the Frobenius number for three variables

Peter Suhajda·Anitha Thillaisundaram
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Abstract

For positive integers $a$, $b$, and $c$ which have no common divisor, the Frobenius number of $a$, $b$ and $c$ is defined to be the largest integer that cannot be expressed as a linear combination of $a$, $b$ and $c$ with non-negative integer coefficients. In 2017, Tripathi gave an algorithmic formula for the Frobenius number in three variables, however there were some minor inconsistencies in the formula. In this paper, we settle these inconsistencies.

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Peter Suhajda, Anitha Thillaisundaram. 2026-03-03. On the Frobenius number for three variables. https://arxiv.org/abs/2603.03104

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