Kendall Heiney

collaborators

2 papers

math.NT2025

Generalized SierpiÅski and Riesel numbers of the form $t b^{t} + I^\pm$

Hailey Evans, Joshua Harrington, Kendall Heiney +1

Let $b \geq 2$ be an integer. We call an integer $k$ a $b$ -SierpiÅski number if $g cd (k + 1, b - 1) = 1$ and $k \cdot b^{n} + 1$ is composite for all positive integers $n$ . We similarly call $…

math.GT2025

Constructions of and Bounds on the Toric Mosaic Number

Kendall Heiney, Margaret Kipe, Samantha Pezzimenti +2

Knot mosaics were introduced by Kauffman and Lomonaco in the context of quantum knots, but have since been studied for their own right. A classical knot mosaic is formed on a squar…

Generalized SierpiÅski and Riesel numbers of the form tbt+I^±

Constructions of and Bounds on the Toric Mosaic Number

Generalized SierpiÅski and Riesel numbers of the form $t b^{t} + I^\pm$