Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New examples of the representation of 1 by the sum of reciprocals of
  semiprime numbers   In 1978, Allan.Wm.Johnson obtained an example of the representation of 1 by
the sum of reciprocals of the product of two distinct prime numbers. His
example has 48 terms [1], and we had no examples which have less than 48 terms
until now. In this paper, we construct 17 new examples that have less than 48
terms. Since all of the new examples have 47 terms and we have no examples
which have less than 47 terms, it is assumed that the minimum number of terms
is 47.

1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci