%q0.tex: 
%begin macros
\baselineskip=14pt
\parskip=10pt
\magnification=\magstephalf
\parindent=0pt
\overfullrule=0in
\def\frac#1#2{{#1 \over #2}}
\def\g{\bigtriangledown}
\def\S{\cal S}
\nopagenumbers
%end macros
 

\centerline
{
\bf  Quiz \# 1 for Dr. Z.'s Number Theory
}
\bigskip
{\bf NAME:} (print!) $\underline
{\quad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}$
\bigskip
{\bf E-MAIL ADDRESS:} (print!) 
$\underline
{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}$
\bigskip


{\bf 1.} (3 points) Convert $51$ (written in the usual decimal notation) to
to binary, in (i) sparse notation (ii) dense notation (iii) positional notation.

\bigskip\bigskip\bigskip\bigskip\bigskip\bigskip\bigskip\bigskip\bigskip\bigskip\bigskip\bigskip\bigskip\bigskip\bigskip\bigskip\bigskip

{\bf 2.} (3 points) Find, by only using paper-and-pencil the first three terms of the Euclid-Mullin sequence.

\bigskip\bigskip\bigskip\bigskip\bigskip\bigskip\bigskip\bigskip\bigskip\bigskip\bigskip\bigskip\bigskip\bigskip\bigskip\bigskip\bigskip

{\bf 3.} (4 points) Prove  that there are infinitely many primes.



\end






