Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Largest Prime Dividing the Maximal Order of an Element of $S_n$   We define $g(n)$ to be the maximal order of an element of the symmetric group
on $n$ elements. Results about the prime factorization of $g(n)$ allow a
reduction of the upper bound on the largest prime divisor of $g(n)$ to
$1.328\sqrt{n\log n}$.

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The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
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The categories of this paper are: eess
29
The categories of this paper are: funct-an
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The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: mtrl-th
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The categories of this paper are: chao-dyn
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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: q-alg