## Elements of number theory |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

SOME PRELIMINARY CONSIDERATIONS | 1 |

UNIQUE PRIME FACTORIZATION | 17 |

POLYNOMIAL FORMS AND DIVISIBILITY | 31 |

Copyright | |

16 other sections not shown

### Common terms and phrases

algebraic angle arithmetic casting out nines circle common divisor common factor completes the proof complex integers complex number contradicting denoted divided divisible by 9 equal equation x2 Euclidean algorithm Euler's theorem example Exercises expression factor in common Fermat prime Fermat's theorem Figure Find form 4/c formula Gaussian integers Gaussian prime given gruences Hence Hint hypothesis infinite number intersection left member linear congruences linear Diophantine equation mathematical induction mathematician method mod 9 modulo multiple natural numbers norm number theory obtained opposite parity pairs perfect number perfect square polynomial positive integers positive lattice points prime factors primitive solution problem Property proved Pythagorean triangle Pythagorean triple quadratic quotient radius rational integers rational numbers rational prime rational root real numbers regular polygon relatively prime result right member ruler and compasses satisfy Section segment Show shown sides Solve substituted three numbers trisected unique factorization values verified zero