Journal of Integer Sequences, Vol. 8 (2005), Article 05.1.7

An Estimate for Frobenius' Diophantine Problem in Three Dimensions


Jan-Christoph Schlage-Puchta
Mathematisches Institut
Eckerstr. 1
79104 Freiburg
Germany

Abstract: We give upper and lower bounds for the largest integer not representable as a positive linear combination of three given integers, disproving an upper bound conjectured by Beck, Einstein and Zacks.

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Received January 26 2005; revised version received February 7 2005. Published in Journal of Integer Sequences March 1 2005.

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