<html><head><meta name="color-scheme" content="light dark"></head><body><pre style="word-wrap: break-word; white-space: pre-wrap;">%q3.tex: 
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{
\bf  Quiz \# 3 for Dr. Z.'s Number Theory
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{\bf NAME:} (print!) $\underline
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{\bf E-MAIL ADDRESS:} (print!) 
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{\bf 1.} (6 points) Find out whether it is possible to express $1$ as a linear combination 
$1= 11\cdot m + 27 \cdot n$ for some integers $m$ and $n$,
and if it is, find them.
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{\bf Ans.}: $m=$ \quad \quad \quad  $n=$ \quad \quad \quad 

{\bf 2.}(4 points) Find $11^{16} \pmod{13}$
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{\bf Ans.}:

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