Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Speculations on some characteristic properties of numbers   Translation of the Latin original "Speculationes circa quasdam insignes
proprietates numerorum" (1784). E564 in the Enestrom index. In this paper Euler
talks about Farey sequences and proves some results about the phi function, the
number of positive integers less than and relatively prime to an integer. Euler
uses the notation pi instead of phi.

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The categories of this paper are: funct-an
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The categories of this paper are: solv-int
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The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph