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% https://tex.stackexchange.com/q/13635/
\documentclass{article}
\usepackage{xsim}
\DeclareExerciseEnvironmentTemplate{theorem:remark}
{
\par\addvspace{\baselineskip}
\noindent
\textit{%
\IfInsideSolutionF{\XSIMmixedcase{\GetExerciseName}~}%
\GetExerciseProperty{counter}}%
\GetExercisePropertyT{subtitle}{ \textup{(#1)}}%
. %
}
{\par\addvspace{\baselineskip}}
\DeclareExerciseHeadingTemplate{exercises}{\subsection*{Exercises}}
\xsimsetup{
exercise/template = theorem:remark ,
exercise/within = section ,
exercise/the-counter = \thesection.\arabic{exercise} ,
print-collection/headings = true ,
print-collection/headings-template = exercises
}
\DeclareExerciseCollection{prime numbers}
\DeclareExerciseCollection{Zeta function}
\xsimsetup{collect}
\begin{document}
\collectexercises{prime numbers}
\section{Prime Numbers}
A \emph{prime number} is a positive integer other than $1$ that is only
divisible by $1$ and itself.
\begin{exercise}[subtitle=Euclid's Theorem]
\label{ex:euclid}
Show that there are infinitely many prime numbers.
\end{exercise}
As you will show in Exercise \ref{ex:euclid}, there are infinitely many
primes. The number of primes that are smaller than a given natural number $n$
is denoted $\pi(n)$.
\begin{exercise}
Find an asymptotic formula for $\pi(n)$. \emph{Hint:} You might find
Exercise \ref{ex:zeta} helpful.
\end{exercise}
\collectexercisesstop{prime numbers}
\printcollection{prime numbers}
\collectexercises{Zeta function}
\section{Zeta function}
The zeta function is given by $\zeta(s) = \sum_{n=1}^\infty n^{-s}$, where $s$
is a complex number with real part bigger than $1$.
\begin{exercise}\label{ex:zeta}
Extend $\zeta$ as far as possible and find all zeros
of the function.
\end{exercise}
For example $\zeta(2) = \frac{\pi^2}{6}$.
\collectexercisesstop{Zeta function}
\printcollection{Zeta function}
\end{document}
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