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A number α has a representation with respect to the numbers α₁,...,αₙ, if there exist the non-negative integers λ₁,... ,λₙ such that α=λ₁α₁+...+λₙ αₙ. The largest natural number that does not have a representation with respect to the numbers α₁,...,αₙ is called the Frobenius number and is denoted by the symbol g(α₁,...,αₙ). In this paper, we present a new algorithm to calculate the Frobenius number. Also we present the sequential form of the new algorithm.
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Taheri et al. (2024) studied this question.
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