PreprintCC BY 4.0arXiv
A 4AP-free permutation of the positive integers
Abstract
We construct a permutation of the positive integers containing no four-term arithmetic progression as a subsequence.
Related
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- The cardinality of a set containing the pairwise sums of four positive integers
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BibTeX
@misc{ho20264apfree,
title = {{A 4AP-free permutation of the positive integers}},
author = {Boon Suan Ho},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.12780},
eprint = {2609.12780},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.12780},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - A 4AP-free permutation of the positive integers
AU - Boon Suan Ho
PY - 2026
DA - 2026/09/11
PB - arXiv
DO - 10.48550/arxiv.2609.12780
UR - https://arxiv.org/abs/2609.12780
AB - We construct a permutation of the positive integers containing no four-term arithmetic progression as a subsequence.
ER -