Generalized Sierpiński and Riesel numbers of the form $t{b}^t+\alpha$

Hailey Evans, Joshua Harrington, Kendall Heiney +1

Let $b\ge 2$ be an integer. We call an integer $k$ a $b$-Sierpiński number if $\gcd (k+1,b-1)=1$ and $k\cdot b^n+1$ is composite for all positive integers $n$. We similarly call $k…