Affiliation: University of Illinois
Title Of Talk: Large gaps between primes and related problems
Abstract: We describe recent improvements to lower bounds on the largest gap between consecutive primes less than $x$. This is joint work with Ben Green, Sergei Konyagin, James Maynard and Terence Tao. We also describe work on the problem of finding long strings of composite numbers containing an integers of a prescribed type, such as a perfect $k$-th power (joint with Sergei Konyagin and Roger Heath-Brown).
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Last update made Fri Jan 29 12:39:05 PST 2016.