He describes his result in a paper to be published in the Journal of Number Theory. “This is a very important contribution,” says mathematician Andrew Granville of the University of Georgia in ...

there are certain points amid the mountains and valleys that play an important role in relation to prime numbers. These are the points at which the zeta function becomes zero (so-called zeros ...

The technique relies on the CLZ instruction which counts the number of leading zeros in a machine word and is available in many modern processors. Typical algorithms used to compute logarithms are ...