Nathan McNew

activity

20122026

most citedRadically weakening the Lehmer and Carmichael conditions

5 citations · 12 across the 18 of their papers we have counts for

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Showing 2022Show all

2 papers · 1 filter

math.NT2022

Explicit bounds for large gaps between squarefree integers

Angel Kumchev, Wade McCormick, Nathan McNew +3

We obtain explicit forms of the current best known asymptotic upper bounds for gaps between squarefree integers. In particular we show, for any $x \geq 2$ , that every interval of th…

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…

Explicit bounds for large gaps between squarefree integers

Permutations and the divisor graph of [1,n]

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