Nationality American Role Mathematician Alma mater UC Berkeley Fields Mathematics | Doctoral advisor Russell Lehman Notable awards Cole Prize Name Daniel Goldston | |

Born January 4, 1954 (age 62)Oakland, California (1954-01-04) Institutions San Jose State University Known for GPY theorem in number theory Education University of California, Berkeley |

## A conversation between yitang zhang and daniel goldston

**Daniel Alan Goldston** (born January 4, 1954 in Oakland, California) is an American mathematician who specializes in number theory. He is currently a professor of mathematics at San Jose State University.

Goldston is best known for the following result that he, János Pintz, and Cem Yıldırım proved in 2005:

where ^{th} prime number. In other words, for every

This result was originally reported in 2003 by Goldston and Yıldırım but was later retracted. Then Pintz joined the team and they completed the proof in 2005.

In fact, if they assume the Elliott–Halberstam conjecture, then they can also show that primes within 16 of each other occur infinitely often, which is related to the twin prime conjecture.