## First Course in Theory of Numbers |

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### Contents

CHAPTER PAGE | 1 |

Simple Continued Fractions | 15 |

Congruences | 43 |

Copyright | |

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### Common terms and phrases

algebraic assume belong coefficients common divisor complete quotient complete residue system computation convergent Corollary distinct roots divide divisible equation x2 Euclidean algorithm example EXERCISES expansion exponent follows form 4n formulas greatest common divisor greatest integer Hence illustrate ind2 integral solution integral values Jacobi symbol L. E. Dickson least positive Legendre symbol linear congruence mod p2 multiple non-residue number class modulo number of integers number of solutions number of terms odd prime perfect number Pn—i polynomial positive integer power residues prime factors primitive root primitive solutions Prove qn—i quadratic character quadratic residues quadratic surd rational number reduced residue system relatively prime residue system modulo satisfy the congruence Show simple continued fraction solution in integers solution of x2 solving table of power Theorem 18 Theorem 21 theory of numbers Wilson's theorem write zero