Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Products of shifted primes simultaneously taking perfect power values   Let $r \ge 2$ be an integer and let $A$ be a finite, nonempty set of nonzero
integers. We will obtain a lower bound for the number of squarefree integers
$n$, up to $x$, for which the products $\prod_{p \mid n} (p+a)$ (over primes
$p$) are perfect $r$th powers for all $a \in A$. Also, in the cases $A =
\{-1\}$ and $A = \{+1\}$, we will obtain a lower bound for the number of such
$n$ with exactly $r$ distinct prime factors.

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The categories of this paper are: cs
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
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The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
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The categories of this paper are: physics
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The categories of this paper are: astro-ph