Nathan McNew

collaborators

2 papers

math.NT2023

The distribution of intermediate prime factors

Nathan McNew, Paul Pollack, Akash Singha Roy

Let $P^{(\frac{1}{2})} (n)$ denote the middle prime factor of $n$ (taking into account multiplicity). More generally, one can consider, for any $α \in (0, 1)$ , the $α$ -positio…

math.NT2022

Permutations and the divisor graph of $[1, n]$

Nathan McNew

Let $S_{div} (n)$ denote the set of permutations $π$ of $n$ such that for each $1 \leq j \leq n$ either $j ∣ π (j)$ or $π (j) ∣ j$ . These permutations can also be viewed as v…

The distribution of intermediate prime factors

Permutations and the divisor graph of [1,n]

Permutations and the divisor graph of $[1, n]$