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\def\nameofspeaker{Euklid of Alexandria${}^1$ and Archimedes of Syracuse${}^2$}
\def\affiliationofspeaker{${}^1$Department of Mathematics, University of Alexandria\\${}^2$Syracuse Tech}
\def\emailofspeaker{${}^1$\url{euk@alexandria.net}, ${}^2$\url{archi_99@syrac.org}}
\def\titleoftalk{There is No Largest Prime Number}
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We show by a very general argument [1] that it is impossible for there to be
only finitely many primes. The basic conclusion follows from
\noindent\textbf{Lemma 1.}
\[ \sim p_{n+1} \not| \ \ p_1p_2\cdots p_n . \]
It is hoped that the audience will provide conjectures to enrich this material.
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\noindent [1] A.\ of Syracuse, E.\ of Alexandria, ``Conjectures regarding divisibility of integers'',
\textit{to appear}.
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