.. _number_theory:

Number theory
=============

This chapter is different in style from the other chapters of the book.  The facts here are
famous theorems, and their proofs require one-off, clever ideas.  These particular ideas will not
turn up again on homework or exams.  Think of this chapter instead as a capstone: we explore what
kinds of mathematical statements are in reach with the reasoning tools and theory we have developed
so far in the book.

.. include:: ch07_Number_Theory/01_Infinitely_Many_Primes.inc
.. include:: ch07_Number_Theory/02_Euclid_Lemma.inc
.. include:: ch07_Number_Theory/03_Sqrt_Two.inc