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Green-Tao Theorem

For any positive integer k, there exists a prime arithmetic progression of length k. The proof is an extension of Szemerédi's theorem.

See also

k-Tuple Conjecture, Prime Arithmetic Progression, Prime Number Theorem, Szemerédi's Theorem

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References

Granville, A. "Prime Number Patterns." Amer. Math. Monthly 115, 279-296, 2008.Green, B. and Tao, T. "The Primes Contain Arbitrarily Long Arithmetic Progressions." 8 Apr 2004. http://arxiv.org/abs/math.NT/0404188.

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Green-Tao Theorem

Cite this as:

Weisstein, Eric W. "Green-Tao Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Green-TaoTheorem.html

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