Cody Hansen

collaborators

2 papers

math.NT2023

On inequalities involving counts of the prime factors of an odd perfect number

Graeme Clayton, Cody S. Hansen

Let $N$ be an odd perfect number. Let $ω (N)$ be the number of distinct prime factors of $N$ and let $Ω (N)$ be the total number (counting multiplicity) of prime factors of $N$ . We p…

math.NT2022

Prime factors of $Φ_{3} (x)$ of the same form

Cody S. Hansen, Pace P. Nielsen

We parameterize solutions to the equality $Φ_{3} (x) = Φ_{3} (a_{1}) Φ_{3} (a_{2}) \dots Φ_{3} (a_{n})$ when each $Φ_{3} (a_{i})$ is prime. Our focus is on the special cases when $n = 2, 3, 4$ , as this analysis…

On inequalities involving counts of the prime factors of an odd perfect number

Prime factors of Φ3​(x) of the same form

Prime factors of $Φ_{3} (x)$ of the same form