Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on Sierpi\'{n}ski problem related to triangular numbers   In this note we show that the system of equations t_{x}+t_{y}=t_{p},\quad
t_{y}+t_{z}=t_{q},\quad t_{x}+t_{z}=t_{r}, where $t_{x}=x(x+1)/2$ is a
triangular number, has infinitely many solutions in integers. Moreover we show
that this system has rational three-parametric solution. Using this result we
show that the system t_{x}+t_{y}=t_{p},\quad t_{y}+t_{z}=t_{q},\quad
t_{x}+t_{z}=t_{r},\quad t_{x}+t_{y}+t_{z}=t_{s} has infinitely many rational
two-parametric solutions.

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The categories of this paper are: astro-ph
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The categories of this paper are: nlin
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The categories of this paper are: nucl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: cs
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The categories of this paper are: hep-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: physics
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The categories of this paper are: cmp-lg
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The categories of this paper are: adap-org
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The categories of this paper are: patt-sol
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The categories of this paper are: cond-mat
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The categories of this paper are: funct-an
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The categories of this paper are: q-bio