Andrew Granville

collaborators

2 papers

math.NT2026

Two dimensional covering systems and possible prime producing $a^{m} - b^{n}$

Andrew Granville, Francesco Pappalardi

We exhibit a new application of two dimensional covering systems, examples of integer pairs $a, b$ for which $a^{m} - b^{n}$ has a prime divisor from some given finite set of primes, for…

math.HO2024

Andrew Granville

Given two non-zero integers $a$ and $b$ there exist integers $m$ and $n$ for which $am - bn = (a, b)$ . An increasing number of mathematicians have been calling this `BÃ©zout's identity…

Two dimensional covering systems and possible prime producing am−bn

It is not "BÃ©zout's identity"

Two dimensional covering systems and possible prime producing $a^{m} - b^{n}$