1. Vedran Miletić
  2. beamer


beamer / doc / beamerthemeexamplebase.tex

% Copyright 2003--2007 by Till Tantau
% Copyright 2010 by Vedran Mileti\'c
% This file may be distributed and/or modified
% 1. under the LaTeX Project Public License and/or
% 2. under the GNU Free Documentation License.
% See the file doc/licenses/LICENSE for more details.

% $Header$



\title{There Is No Largest Prime Number}
\subtitle{With an introduction to a new proof technique}

\author[Euklid]{Euklid of Alexandria}
\institute[Univ. Alexandria]{Department of Mathematics\\ University of Alexandria}
\date[ISPN '80]{27th International Symposium on Prime Numbers, --280}



\subsection{Proof of the Main Theorem}

  \frametitle{There Is No Largest Prime Number}
  \framesubtitle{The proof uses \textit{reductio ad absurdum}.}

    There is no largest prime number.
      % The strange way of typesetting math is to minimize font usage
      % in order to keep the file sizes of the examples small.
    \item<1-| alert@1> Suppose $p$ were the largest prime number.
    \item<2-> Let $q$ be the product of the first $p$ numbers.
    \item<3-> Then $q$\;+\,$1$ is not divisible by any of them.
    \item<1-> Thus $q$\;+\,$1$ is also prime and greater than $p$.\qedhere