Szemerédi's theorem

Szemerédi's theorem

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Science and technology
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What Wikipedia says

In arithmetic combinatorics, Szemerédi's theorem is a result concerning arithmetic progressions in subsets of the integers. In 1936, Erdős and Turán conjectured that every set of integers A with positive natural density contains a k-term arithmetic progression for every k. Endre Szemerédi proved the conjecture in 1975.

Excerpt from the Wikipedia article “Szemerédi's theorem”, under the CC BY-SA 4.0 license. Read the article on Wikipedia

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