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1. On a Conjecture of Sun Zhi-Wei and Related Diophantine Equations

Author

Jia-Hui, Wang and Hui-Lin, Zhu

Subjects
Mathematics - Number Theory
Abstract

For any integer $m\ge0$, we recall that triangular numbers are those $\mathbf{T}(m)=\frac{m(m+1)}{2}$. A conjecture of Sun Zhi-Wei states that an integer $2^n\pm n$ with any $n>2$ can not be a triangular number. The motivation of this work is to confirm this conjecture.

Published
2022

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