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PreprintCC BY 4.0arXiv

A new proof of two-color partition regularity of Pythagorean triples

Abstract

We give a new proof that if the natural numbers are colored in two colors, then there exists a monochromatic Pythagorean triple. The proof was found by ChatGPT Astra.

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BibTeX
@misc{leng2026proof,
  title = {{A new proof of two-color partition regularity of Pythagorean triples}},
  author = {James Leng},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.34676},
  eprint = {2609.34676},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.34676},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - A new proof of two-color partition regularity of Pythagorean triples
AU  - James Leng
PY  - 2026
DA  - 2026/09/28
PB  - arXiv
DO  - 10.48550/arxiv.2609.34676
UR  - https://arxiv.org/abs/2609.34676
AB  - We give a new proof that if the natural numbers are colored in two colors, then there exists a monochromatic Pythagorean triple. The proof was found by ChatGPT Astra.
ER  -