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The primes contain arbitrarily long arithmetic progressions
- Ann. of Math
"... Abstract. We prove that there are arbitrarily long arithmetic progressions of primes. ..."
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Cited by 111 (24 self)
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Abstract. We prove that there are arbitrarily long arithmetic progressions of primes.
Arithmetic progressions and the primes - El Escorial lectures
- Collectanea Mathematica (2006), Vol. Extra., 37-88 (Proceedings of the 7th International Conference on Harmonic Analysis and Partial Differential Equations, El Escorial
"... Abstract. We describe some of the machinery behind recent progress in establishing infinitely many arithmetic progressions of length k in various sets of integers, in particular in arbitrary dense subsets of the integers, and in the primes. 1. ..."
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Cited by 2 (0 self)
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Abstract. We describe some of the machinery behind recent progress in establishing infinitely many arithmetic progressions of length k in various sets of integers, in particular in arbitrary dense subsets of the integers, and in the primes. 1.
ARITHMETIC PROGRESSIONS OF PRIMES IN SHORT INTERVALS
, 705
"... Abstract. Green and Tao proved that the primes contains arbitrarily long arithmetic progressions. We show that, essentially the same proof leads to the following result: If N is sufficiently large and M is not too small compared with N, then the primes in the interval [N, N + M] contains many arithm ..."
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Abstract. Green and Tao proved that the primes contains arbitrarily long arithmetic progressions. We show that, essentially the same proof leads to the following result: If N is sufficiently large and M is not too small compared with N, then the primes in the interval [N, N + M] contains many arithmetic progressions of length k. 1.
