Jonathan P. Sorenson

activity

20152026

most citedA Perspective on Future Research Directions in Information Theory

4 citations · 5 across the 7 of their papers we have counts for

collaborators

Showing 2022Show all

3 papers · 1 filter

math.NT2022

An Algorithm for Ennola's Second Theorem and Counting Smooth Numbers in Practice

Chloe Makdad, Jonathan P. Sorenson

Let $Ψ (x, y)$ count the number of positive integers $n \leq x$ such that every prime divisor of $n$ is at most $y$ . Given inputs $x$ and $y$ , what is the best way to estimate $Ψ (x, y)$ …

math.NT2022★ 1 cited

Computation of the least primitive root

Kevin J. McGown, Jonathan P. Sorenson

Let $g (p)$ denote the least primitive root modulo $p$ , and $h (p)$ the least primitive root modulo $p^{2}$ . We computed $g (p)$ and $h (p)$ for all primes $p \leq 1 0^{16}$ . Here we presen…

math.NT2022

An Algorithm to Find Sums of Powers of Consecutive Primes

Cathal O'Sullivan, Jonathan P. Sorenson, Aryn Stahl

We present and analyze an algorithm to enumerate all integers $n \leq x$ that can be written as the sum of consecutive $k$ th powers of primes, for $k > 1$ . We show that the number of s…