[Tex/LaTex] TexStudio background in beamer

Question

I am interested in building a beamer slide with a background similar to the one displayed when TexStudio is started, I don't know where to start. any ideas how to accomplish this?

Basically, I want to have a color gradient background with small sized equations distributed all over the slide

Here is the image I am talking about

I am donde with the color background part but I am having difficulties to create random math equations, I've tried with the \blindtext package but I only want random math equations, not text. This is a MWE

\documentclass{beamer}
\usepackage[english]{babel}
\usepackage{blindtext}
\usepackage{tikz}
\definecolor{arsenic}{rgb}{0.23, 0.27, 0.29}
\definecolor{darkspringgreen}{rgb}{0.09, 0.45, 0.27}
\setbeamertemplate{background canvas}{%
\begin{tikzpicture}[remember picture,overlay]
\shade[top color=arsenic,bottom color=darkspringgreen]
  ([shift={(0cm,-0cm)}]current page.north west)
     rectangle
  ([shift={(-0cm,0cm)}]current page.south east);
\end{tikzpicture}%     
}
\setbeamertemplate{navigation symbols}{}
\usefonttheme[onlymath]{serif}
\begin{document}

\begin{frame}
\textcolor{white}{\blindmathpaper}
\end{frame}

\end{document}

Answer 1

This is the best I can do:

\documentclass{beamer}
\usepackage[english]{babel}
\usepackage{blindtext}
\makeatletter
\newcommand{\moremathintolatex}{
    \blindtext@formula
    \blindtext@formula
    \blindtext@formula
    \blindtext@formula
    \blindtext@formula
    \blindtext@formula
    \relax%
}
\makeatother
\usepackage{tikz}
\definecolor{arsenic}{rgb}{0.23, 0.27, 0.29}
\definecolor{darkspringgreen}{rgb}{0.09, 0.45, 0.27}
\setbeamertemplate{background canvas}{%
    \begin{tikzpicture}[remember picture,overlay]
    \shade[top color=arsenic,bottom color=darkspringgreen]
    ([shift={(0cm,-0cm)}]current page.north west)
    rectangle
    ([shift={(-0cm,0cm)}]current page.south east);
    \end{tikzpicture}%     
}
\setbeamertemplate{navigation symbols}{}
\usefonttheme[onlymath]{serif}
\begin{document}

    \begin{frame}
        \textcolor{white}{\moremathintolatex}
    \end{frame}

\end{document}