Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a Conjecture of Sun Zhi-Wei and Related Diophantine Equations   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.

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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: alg-geom
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The categories of this paper are: quant-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: patt-sol
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The categories of this paper are: nlin
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The categories of this paper are: econ
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The categories of this paper are: q-bio
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The categories of this paper are: adap-org
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The categories of this paper are: eess
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The categories of this paper are: solv-int
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ph