Schedule Apr 20, 2016
Small gaps between prime numbers
Yitang Zhang, UCSB

It is conjectured that there are infinitely many pairs of prime numbers (p, q) such that

q - p = 2.
The proof of this conjecture seems to be out of reach by present methods. For many years, it had not been known whether there are infinitely many pairs of prime numbers (p, q) such that
0 < q - p < C,
where C is a fixed number. This was first proved by the author only three years ago with C = 7x107. Now the value of C has been reduced to 246. In this talk, we will briefly describe the basic ideas and techniques that leads to such a proof.

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