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

2022/02/17 by Jiahui Wang, Jia-Hui, Wang, Zhu Hui-Lin +1
Physics and Astronomy · Mathematics · #Advanced Mathematical Theories and Applications #Advanced Mathematical Identities #Advanced Mathematical Theories

paper · pdf · doi:10.48550/arxiv.2202.08738

Abstract

For any integer m≥0, we recall that triangular numbers are those T(m)=(m(m+1))/(2). A conjecture of Sun Zhi-Wei states that an integer 2ⁿ± n with any n>2 can not be a triangular number. The motivation of this work is to confirm this conjecture.

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