Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A superpowered Euclidean prime generator   When $k>1$ and $n$ is the product of the smallest $k$ primes, the $(k+1)$-st
smallest prime is the least divisor exceeding $1$ of $n^{n^n}-1$. This variant
of Euclid's prime generator is discussed with some of its cousins.

9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics