## An introduction to number theory |

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### Contents

Chapter J AN INTRODUCTION TO NUMBER THEORY | 1 |

THE EUCLIDEAN ALGORITHM AND UNIQUE | 16 |

CONGRUENCES | 51 |

Copyright | |

7 other sections not shown

### Common terms and phrases

associate b(mod c(mod casting out nines cell Chapter column complete residue system complex numbers congruence x2 congruent mod conjecture continued fraction expansion decimal expansion definition degree mod Diophantine equations divides divisible entries equal equation x2 Euclidean algorithm Euler exactly example fact Fermat Fermat-Pell equation Fermat's last theorem Figure Find all solutions finite follows give given greatest common divisor hence Hint infinitely many solutions integral coefficients integral solutions l(mod last three digits magic square matrix MISCELLANEOUS EXERCISES multiplicative n x n square nonunit nonzero number theory odd prime Pell equation polynomial positive integers prime in Q primitive root pseudoprime quadratic equation quadratic fields rational integers rational number rational prime reader real number reduced residue system relatively prime residue system mod satisfies Section Show side slope solutions mod Solve Suppose Theorem 1.2 triangles uniform step method unique factorization property unique solution unit values vectors zero