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Restriction theory of the Selberg sieve, with applications - 0 views

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    we deduce from Chen's theorem, Roth's theorem, and a transference principle that there are infinitely many arithmetic progressions p1 < p2 < p3 of primes, such that pi + 2 is either a prime or a product of two primes for each i = 1, 2, 3.
arithwsun arithwsun

[Bull. AMS] Small gaps between prime numbers: The work of Goldston-Pintz-Yildirim - 0 views

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    there are infinitely many primes for which the gap to the next prime is as small as we want compared to the average gap between consecutive primes.
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