• Corpus ID: 239024326

On improving a Schur-type theorem in shifted primes

@inproceedings{Wang2021OnIA,
  title={On improving a Schur-type theorem in shifted primes},
  author={Ruoyi Wang},
  year={2021}
}
We show that if N ≥ exp(exp(exp(k))), then any k-colouring of the primes that are less than N contains a monochromatic solution to p1 − p2 = p3 − 1. 

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For $$k \in \mathbb {N}$$ , write S(k) for the largest natural number such that there is a k-colouring of $$\{1, \ldots ,S(k)\}$$ with no monochromatic solution to $$x-y=z^2$$ . That S(k)
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