A Schur-type addition theorem for primes
英文摘要:
Suppose that all primes are colored with k colors. Then there exist monochromatic primes p1, p2, p3 such that p1+p2=p3+1.
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Hongze Li, Hao Pan
Suppose that all primes are colored with k colors. Then there exist monochromatic primes p1, p2, p3 such that p1+p2=p3+1.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。
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We show that if $N \geq \exp(\exp(\exp (k^{O(1)})))$, then any $k$-colouring of the primes that are less than $N$ contains a monochromatic solution to $p_1 - p_2 = p_3 -1$.
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