Thomas Luckner

activity

20222026

most citedConsecutive primes which are widely digitally delicate and Brier numbers

1 citations · 1 across the 4 of their papers we have counts for

collaborators

Showing 2023Show all

2 papers · 1 filter

math.NT2023

On $n^{th}$ order Euler polynomials of degree $n$ that are Eisenstein

Michael Filaseta, Thomas Luckner

For $m$ an even positive integer and $p$ a prime, we show that the generalized Euler polynomial $E_{m p}^{(m p)} (x)$ is in Eisenstein form with respect to $p$ if and only if $p$ does…

math.NT2023

Generalized Sierpiński Numbers

Michael Filaseta, Robert Groth, Thomas Luckner

A Sierpiński number is a positive odd integer $k$ such that $k \cdot 2^{n} + 1$ is composite for all positive integers $n$ . Fix an integer $A$ with $2 \leq A$ . We show that there exis…

On nth order Euler polynomials of degree n that are Eisenstein

Generalized Sierpiński Numbers

On $n^{th}$ order Euler polynomials of degree $n$ that are Eisenstein