## The theory of numbers |

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### Contents

The Development of the Number System 1 Introduction | 1 |

Fundamental Properties of Natural Numbers | 2 |

Inequalities | 6 |

Copyright | |

51 other sections not shown

### Common terms and phrases

called cancellation property completes the proof complex numbers composite number computation congruent mod continued fraction continued-fraction expansion Corollary decimal expansion define definition Diophantine Equation divides divisible divisor equal Euler's Euler's Criterion example factor in common Fibonacci Sequence greater Hence hold implies integer coefficients Jacobi Symbol last digit lattice points least positive Legendre Symbol lemma Mathematics method mod p2 multiplication natural numbers negative integers notation notice number system numbers congruent odd prime pansion Pell Equation perfect number Pk-i Pk/qk polynomial positive integers less prime factor prime number primitive root mod proof of Theorem Prove Theorem qk-i quadratic character quadratic equation quadratic nonresidue quadratic residue quotient rational numbers real number reduced residue system relatively prime repeating decimal repetend shown Similarly solution of x2 solvable solve square Suppose Theorem 1.6 Theorem 4.2a theory of numbers tion values zero