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

Wang Jia-Hui, Zhu Hui-Lin
<span title="2022-02-17">2022</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
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 2^n± 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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