## A friendly introduction to number theoryThis brief text is for an easy introduction to number theory for more than just the math major. Written by a well known mathematician, it is the first undergraduate text to cover elliptic curves (needed for solving Fermat's last theorem). |

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### Contents

Introduction | ix |

What Is Number Theory? | 6 |

Pythagorean Triples | 12 |

Copyright | |

40 other sections not shown

### Common terms and phrases

bad prime Chapter compute congruence x2 conjecture digits Diophantine divides divisible E-primes elliptic curve ep(a equal Euclidean algorithm Euler's Criterion Euler's formula Euler's phi function exactly example Exercise exponent fact Fermat's Last Theorem Fermat's Little Theorem gcd(a gives greatest common divisor infinitely many primes Legendre symbol list of primes look mathematical mathematicians Mersenne primes method Modularity Pattern modulo 13 multiple number of points number theory odd numbers p-defects pairs Pell's equation Pell's equation x2 perfect number perfect square Pigeonhole pigeons points modulo positive integers prime numbers primes congruent primitive Pythagorean triple primitive root modulo product of primes proof prove Quadratic Reciprocity quadratic residue modulo rational coordinates rational numbers relatively prime remainder smallest solution solution to Pell's square modulo square-triangular number successive squaring suppose torsion collection true values verify whole numbers write