Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a sequence involving sums of primes   For $n=1,2,3,\ldots$ let $S_n$ be the sum of the first $n$ primes. We mainly
show that the sequence $a_n=\root n\of{S_n/n}\ (n=1,2,3,\ldots)$ is strictly
decreasing, and moreover the sequence $a_{n+1}/a_n\ (n=10,11,\ldots)$ is
strictly increasing. We also formulate similar conjectures involving twin
primes or partitions of integers.

26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an