Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On primes represented by quartic polynomials on average   We obtain an upper bound for the distribution of primes in the form $n^4 + k$
up to $x$, averaged over $k$ with small square-full part. As a corollary, we
show that for almost all $k$, there is an expected amount of primes in the form
$n^4 +k$ up to $x$.

16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con