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arxiv: 0710.2728 · v1 · submitted 2007-10-15 · 🧮 math.NT

Primes in Tuples II

classification 🧮 math.NT
keywords primesaverageprovespacingactuallyalmostcloserconcerning
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We prove that there are infinitely often pairs of primes much closer than the average spacing between primes - almost within the square root of the average spacing. We actually prove a more general result concerning the set of values taken on by the differences between primes.

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