Robert Baillie

activity

20112020

collaborators

3 papers

math.NT2020

Strengthening the Baillie-PSW primality test

Robert Baillie, Andrew Fiori, Samuel S. Wagstaff

The Baillie-PSW primality test combines Fermat and Lucas probable prime tests. It reports that a number is either composite or probably prime. No odd composite integer has been rep…

math.NT2017

Wright's Fourth Prime

Robert Baillie

Wright proved that there exists a number $c$ such that if $g_{0} = c$ and $g_{n + 1} = 2^{g_{n}}$ , then $⌊ g_{n} ⌋$ is prime for all $n > 0$ . Wright gave $c = 1.9287800$ as an…

math.NT2011

Experiments with zeta zeros and Perron's formula

Robert Baillie

Of what use are the zeros of the Riemann zeta function? We can use sums involving zeta zeros to count the primes up to $x$ . Perron's formula leads to sums over zeta zeros that can…