Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On perfect powers that are sums of two Fibonacci numbers   We study the equation $F_n + F_m = y^p$, where $F_n$ and $F_m$ are
respectively the $n$-th and $m$-th Fibonacci numbers and $p \ge 2$. We find all
solutions under the assumption $n \equiv m \pmod{2}$.

11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg