34 citations · 84 across the 17 of their papers we have counts for
17 papers
Fibonacci primes, primes of the form and beyond
Jon Grantham, Andrew Granville
We speculate on the distribution of primes in exponentially growing, linear recurrence sequences in the integers. By tweaking a heuristic which is successfully us…
Representing integers as a sum of three cubes
Jon Grantham, P. G. Walsh
In this article we further develop methods for representing integers as a sum of three cubes. In particular, a barrier to solving the case , which was outlined in a previous p…
On the Maximum Gonality of a Curve over a Finite Field
Xander Faber, Jon Grantham, Everett W. Howe
The gonality of a smooth geometrically connected curve over a field is the smallest degree of a nonconstant -morphism from the curve to the projective line. In general, the…
Only finitely many -Cullen numbers are repunits for a fixed
Michael Filaseta, Jon Grantham, Hester Graves
We show that for any integer , there are only finitely many -Cullen numbers that are repunits. More precisely, for fixed , there are only finitely many intege…
Finding a Widely Digitally Delicate Prime
Jon Grantham
This paper describes the construction of the first explicitly known widely digitally delicate prime.
On Integers Whose Sum is the Reverse of their Product
Xander Faber, Jon Grantham
We determine all pairs of positive integers such that and have the same decimal digits in reverse order: \[ (2,2), (9,9), (3,24), (2,47), (2,497), (2,499…