数论中未解决的问题（数论中未解决的问题）

内容简介

《国外数学名著系列(影印版)29:数论中未解决的问题(第3版)》分题目列出了数论中尚未解决的一些问题和猜想，对开展研究工作有很好的指导意义并指明了一些研究方向。

目录

Preface to the Third Edition

Preface to the Second Edition

Preface to the First Edition

Glossary of Symbols

Introduction

A.Prime Numbers

A1.Prime values of quadratic functions.

A2.Primes connected with factorials.

A3.Mersenne primes.Repunits.Fermat numbers.Primes of shape k.2n+1.

A4.The prime number race.

A5.Arithmetic progressions of primes.

A6.Consecutive primes in A.P.

A7.Cunningham chains.

A8.Gaps between primes. Twin primes.

A9.Patterns of primes.

A10.Gilbreath's conjeoture.

A11.Increasing and decreasing gaps.

A12.Pseudoprimes.Euler pseudoprimes.Strong pseudoprimes.

A13.Carmichael numbers.

A14."Good"primes and the prime number graph.

A15.Congruent products of consecutive numbers.

A16.Gaussian and Eisenstien-Jacobi primes.

A17.Formulas for primes.

A18.The Erdos-Selfridge classification of primes.

A19.Values of n making n-2k prime.Odd numbers not of the form pa 2b

A20.Symmetric and asymmetric primes.

B.Divisibility

C.Additive Number Theory

D.Diophantine Equations

E.Sequences of Integers

F.None of the Above

Index of Authors Cited

General Index