On improving a Schur-type theorem in shifted primes

DOI10.1007/S10474-023-01310-0arXiv2110.09952WikidataQ121745318 ScholiaQ121745318MaRDI QIDQ6380762

Ruo-Yi Wang

Publication date: 19 October 2021

Abstract: We show that if $Ngeqexp(exp(exp(k^{O(1)})))$, then any $k$-colouring of the primes that are less than $N$ contains a monochromatic solution to $p_1-p_2=p_3-1$.

Mathematics Subject Classification ID

Goldbach-type theorems; other additive questions involving primes (11P32) Ramsey theory (05D10)

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