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Globus Seminar
June 4, 2015 15:40, Moscow, IUM (Bolshoi Vlas'evskii per., 11)
 


Do the primes play dice?

Kevin Ford

University of Illinois at Urbana-Champaign
Video records:
Flash Video 618.0 Mb
Flash Video 3,676.4 Mb
MP4 618.0 Mb

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Kevin Ford


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Abstract: The sequence of prime numbers have fascinated mathematicians since antiquity, largely due to the apparent irregularity in their distribution. However, regularities and patterns appear if the primes are viewed statistically. We will discuss how ideas from probability theory can be used to study prime numbers, with an emphasis on gaps between consecutive prime numbers. In particular, we will discuss recent breakthroughs concerning small and large gaps between prime numbers.

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