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\citation{shapiro}
\@writefile{toc}{\contentsline {section}{\numberline {1}Introduction}{1}{section.1}}
\citation{ven}
\citation{rie}
\citation{cacho}
\citation{ms}
\@writefile{toc}{\contentsline {section}{\numberline {2}Sufficient Conditions for PTNs}{3}{section.2}}
\citation{ms}
\citation{ms}
\@writefile{toc}{\contentsline {section}{\numberline {3}PTNs of the form $3^kp$}{4}{section.3}}
\newlabel{pq}{{1}{4}{PTNs of the form $3^kp$\relax }{equation.1}{}}
\newlabel{pqk2}{{2}{4}{PTNs of the form $3^kp$\relax }{equation.2}{}}
\newlabel{pqk3}{{3}{4}{PTNs of the form $3^kp$\relax }{equation.3}{}}
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\newlabel{pqk4odd}{{6}{5}{PTNs of the form $3^kp$\relax }{equation.6}{}}
\bibcite{ms}{1}
\bibcite{cacho}{2}
\bibcite{rie}{3}
\bibcite{shapiro}{4}
\bibcite{ven}{5}
\newlabel{pqr}{{7}{6}{PTNs of the form $3^kp$\relax }{equation.7}{}}