Lettera Matematica

, Volume 5, Issue 4, pp 297–303 | Cite as

The twin prime conjecture and other curiosities regarding prime numbers

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Abstract

The paper begins with a reference to Riemann’s hypothesis on the sequence of prime numbers, still unproven today, and goes on to illustrate the twin prime conjecture and the more general Polignac’s conjecture; we then recount the recent result by Yitang Zhang about it, and the improvements obtained thanks to the online mathematical collaboration called Polymath 8.

Keywords

Prime numbers Riemann’s hypothesis Twin primes Polignac’s Conjecture Bounded gaps between prime numbers 

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Copyright information

© Centro P.RI.ST.EM, Università Commerciale Luigi Bocconi 2017

Authors and Affiliations

  1. 1.Dipartimento di MatematicaPolitecnico di MilanoMilanItaly

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