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Elementary Number Theory: Primes, Congruences, and Secrets

This is page iPrinter: Opaque thisElementary Number Theory: Primes, Congruences, and SecretsWilliam SteinJanuary 23, 2017vTo my wife Clarita LefthandviThis is page viiPrinter: Opaque thisContentsPrefaceix1 Prime Prime Factorization .. The Sequence of Prime Numbers .. Exercises ..192 The Ring of Integers Congruences Modulon.. The Chinese Remainder Theorem .. Quickly Computing Inverses and Huge Powers .. Primality Testing .. The Structure of (Z/pZ) .. Exercises.

number theory, postulates a very precise answer to the question of how the prime numbers are distributed. This chapter lays the foundations for our study of the theory of numbers by weaving together the themes of prime numbers, integer factorization, and the distribution of primes. In Section 1.1, we rigorously prove that the

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