Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Representation of even integers as a sum of squares of primes and powers
  of two   In 1951, Linnik proved the existence of a constant $K$ such that every
sufficiently large even number is the sum of two primes and at most $K$ powers
of 2. Since then, this style of approximation has been considered for problems
similar to the Goldbach conjecture. One such problem is the representation of a
sufficiently large even number as a sum of four squares of primes and at most
$k$ powers of two. In 2014, Zhao proved $k = 46$. In this paper, we improve
upon this result by proving $k = 31$.

8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
16
The categories of this paper are: stat
3
The categories of this paper are: physics
19
The categories of this paper are: eess