32 lines
537 B
TeX
32 lines
537 B
TeX
|
\documentclass[
|
||
|
solutions,
|
||
|
singlenumbering,
|
||
|
nopagenumber
|
||
|
]{../../resources/ormc_handout}
|
||
|
\usepackage{../../resources/macros}
|
||
|
|
||
|
\title{Warm-Up: Prime Factors}
|
||
|
\subtitle{Prepared by \githref{Mark} on \today.}
|
||
|
|
||
|
\begin{document}
|
||
|
|
||
|
\maketitle
|
||
|
|
||
|
\problem{}
|
||
|
What proportion of integers have $2$ as their smallest prime factor?
|
||
|
% 1^2
|
||
|
\vfill
|
||
|
|
||
|
|
||
|
\problem{}
|
||
|
What proportion of integers have $3$ as their second-smallest prime factor?
|
||
|
% 1/6
|
||
|
\vfill
|
||
|
|
||
|
|
||
|
\problem{}
|
||
|
What is the median second-smallest prime factor?
|
||
|
% 37
|
||
|
\vfill
|
||
|
|
||
|
\end{document}
|