Carl Pomerance

collaborators

3 papers

math.NT2026

Lines in the prime number graph

Scott Duke Kominers, Rudi MrazoviÄ, Carl Pomerance +1

The prime number graph is the set of points $(n, p_{n})$ where $p_{n}$ denotes the $n^{th}$ prime. Let $L (n)$ be the minimum number of straight line segments needed to cover the fir…

math.NT2026

Matchable numbers

Nathan McNew, Carl Pomerance

We say a natural number $n$ is matchable if there is a bijection from the set of $I ¨ (n)$ divisors of $n$ to the set ${1, 2, \dots, I ¨ (n)}$ , where corresponding numbers are relativel…

math.NT2024

Cyclotomic primes

Carl Pomerance

Mersenne primes and Fermat primes may be thought of as primes of the form $I^¦_{m} (2)$ , where $I^¦_{m} (x)$ is the $m$ th cyclotomic polynomial. This paper discusses the more general probl…