Article Title

Meertens number and its variations

Authors

Chai Wah Wu, International Business MachinesFollow

Abstract

In 1998, Bird introduced Meertens numbers as numbers that are invariant under a map similar to the Gödel encoding. In base 10, the only known Meertens number is 81312000. We look at some properties of Meertens numbers and consider variations of this concept. In particular, we consider variations of Meertens numbers where there is a finite time algorithm to decide whether such numbers exist, exhibit infinite families of these variations and provide bounds on parameters needed for their existence.

Recommended Citation

Wu, Chai Wah (2022) "Meertens number and its variations," Communications on Number Theory and Combinatorial Theory: Vol. 3, Article 5.
Available at: https://research.library.kutztown.edu/contact/vol3/iss1/5