|Cem Yalçın Yıldırım|
|Born||June 8, 1961|
|Citizenship||Republic of Turkey|
|Alma mater||Middle East Technical University (BSc, 1982)|
University of Toronto (PhD, 1990)
|Awards||Cole Prize (2014)|
|Doctoral advisor||John Friedlander|
Cem Yalçın Yıldırım (born 8 July 1961) is a Turkish mathematician who specializes in number theory. He obtained his B.Sc from Middle East Technical University in Ankara, Turkey and his PhD from the University of Toronto in 1990. His advisor was John Friedlander. He is currently a faculty member at Boğaziçi University in Istanbul, Turkey.
where pn denotes the nth prime number. In other words, for every c > 0, there exist infinitely many pairs of consecutive primes pn and pn+1 which are closer to each other than the average distance between consecutive primes by a factor of c, i.e., pn+1 − pn < c log pn.
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