Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Orthogonal matrices with rational components in composing tests for High
  School students   Fermat Last Theorem, which inspired mathematicians during 300 years, is
proved by Andrew Wiles. Even among mathematicians there is a narrow circle of
specialists, who can read this proof and understand all details. Is it a reason
for pessimism? No, since arithmetics if entire numbers contains broad variety
of problems with a simple statement, which might be not less intricate. One of
them arises in elementary geometry.

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The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
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The categories of this paper are: stat
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The categories of this paper are: solv-int
9
The categories of this paper are: nlin
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The categories of this paper are: quant-ph
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The categories of this paper are: q-bio
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The categories of this paper are: comp-gas
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The categories of this paper are: econ
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The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
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The categories of this paper are: chao-dyn
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The categories of this paper are: atom-ph
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The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex