Integer Sets of Large Harmonic Sum Which Avoid Long Arithmetic Progressions

Alexander Walker

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arXiv · 2203.06045

Integer Sets of Large Harmonic Sum Which Avoid Long Arithmetic Progressions

Alexander Walker

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Abstract

We give conditions under which certain digit-restricted integer sets avoid $k$-term arithmetic progressions. These sets and their harmonic sums can be computed efficiently. Through large-scale search, we identify integer sets avoiding arithmetic progressions of length 4 and 10 whose harmonic sums exceed earlier "greedy" constructions.

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Alexander Walker. 2022-03-11. Integer Sets of Large Harmonic Sum Which Avoid Long Arithmetic Progressions. https://arxiv.org/abs/2203.06045

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