11 citations · 17 across the 7 of their papers we have counts for
7 papers
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…
Wright's Fourth Prime
Robert Baillie
Wright proved that there exists a number such that if and , then is prime for all . Wright gave as an…
Sinc integrals and tiny numbers
Uwe Bäsel, Robert Baillie
We apply a result of David and Jon Borwein to evaluate a sequence of highly-oscillatory integrals whose integrands are the products of a rapidly growing number of sinc functions. T…
Fun With Very Large Numbers
Robert Baillie
We give an example of a formula involving the sinc function that holds for every N = 0, 1, 2, ..., up to about 10^102832732165, then fails for all larger N. We give another example…
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 . Perron's formula leads to sums over zeta zeros that can…
Summing the curious series of Kempner and Irwin
Robert Baillie
In 1914, Kempner proved that the series 1/1 + 1/2 + ... + 1/8 + 1/10 + 1/11 + ... + 1/18 + 1/20 + 1/21 + ... where the denominators are the positive integers that do not contain th…
Fun With Fourier Series
Robert Baillie
By using computers to do experimental manipulations on Fourier series, we construct additional series with interesting properties. We construct several series whose sums remain unc…