The Little Book Of Big Primes

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The Little Book Of Bigger Primes

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Author : Paulo Ribenboim
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

The Little Book Of Bigger Primes written by Paulo Ribenboim and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.

This book could have been called "Selections from the Book of Prime Number Records." However, I prefered the title which propelled you on the first place to open it, and perhaps (so I hope) to buy it! Richard K. Guy, with his winning ways, suggested the title to me, and I am grateful. But the book isn't very different from its parent. Like a bonsai, which has all the main characteristics of the full-sized tree, this little paperback should exert the same fatal attraction. I wish it to be as dangerous as the other one, in the saying of John Brillhart. I wish that you, young student, teacher or retired mathematician, engineer, computer buff, all of you who are friends of numbers, to be driven into thinking about the beautiful theory of prime numbers, with its inherent mystery. I wish you to exercise your brain and fingers-not vice-versa. But I do not wish you, specialist in number theory to look at this little book-most likely you have been eliminated from this shorter version-what a terrible feeling. But do not cry, you had your book already. This one is for those who will be taking over and should put their steps forward, mostly little, occasionally giant, to develop the science of numbers. Paulo Ribenboim Contents Preface vii Guiding the Reader xii Index of Notations xiii Introduction 1 1 How Many Prime Numbers Are There? 3 I. Euclid's Proof .. 3 11. Kummer's Proof 4 II. P6lya's Proof . .

The Little Book Of Bigger Primes

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Author : Paulo Ribenboim
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-01-08

The Little Book Of Bigger Primes written by Paulo Ribenboim and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-01-08 with Mathematics categories.

The immensely popular Guinness Book of World Records lacked a chapter on prime numbers. The also popular Book of Prime Number Records, however, fills this need. This abridged version, written by the same author, is devoted to presenting records concerning prime numbers, but it also explores the interface between computations and the theory of prime numbers. The book contains an up-to-date historical presentation of the main problems pertaining to prime numbers, as well as many fascinating topics, including primality testing. It is written in a light and humours language without secrets and is thoroughly accessible to everyone. TOC:* Preface * Guiding the Reader * Index of Notations * Introduction * How Many Prime Numbers Are There? * How to Recognize Whether a Natural Number is a Prime * Are There Functions Defining Prime Numbers? * How Are the Prime Numbers Distributed? * Which Special Kinds of Primes Have Been Considered? * Heuristic and Probabilistic Results about Prime Numbers * Conclusion * Bibliography * Primes up to 10,000 * Index of Tables * Index of Records * Index of Names * Gallimawfries * Subject Index

The Little Book Of Bigger Primes 2e

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Author : Ribenboim
language : en
Publisher:
Release Date : 2005-01-01

The Little Book Of Bigger Primes 2e written by Ribenboim and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-01-01 with categories.

The Little Book Of Bigger Primes

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Author : Paulo Ribenboim
language : en
Publisher: Springer Science & Business Media
Release Date : 1991

The Little Book Of Bigger Primes written by Paulo Ribenboim and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Mathematics categories.

Circuits And Systems For Security And Privacy

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Author : Farhana Sheikh
language : en
Publisher: CRC Press
Release Date : 2017-12-19

Circuits And Systems For Security And Privacy written by Farhana Sheikh and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-19 with Computers categories.

Circuits and Systems for Security and Privacy begins by introducing the basic theoretical concepts and arithmetic used in algorithms for security and cryptography, and by reviewing the fundamental building blocks of cryptographic systems. It then analyzes the advantages and disadvantages of real-world implementations that not only optimize power, area, and throughput but also resist side-channel attacks. Merging the perspectives of experts from industry and academia, the book provides valuable insight and necessary background for the design of security-aware circuits and systems as well as efficient accelerators used in security applications.

My Numbers My Friends

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Author : Paulo Ribenboim
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-05-10

My Numbers My Friends written by Paulo Ribenboim and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-05-10 with Mathematics categories.

This selection of expository essays by Paulo Ribenboim should be of interest to mathematicians from all walks. Ribenboim, a highly praised author of several popular titles, writes each essay in a light and humorous language without secrets, making them thoroughly accessible to everyone with an interest in numbers. This new collection includes essays on Fibonacci numbers, prime numbers, Bernoulli numbers, and historical presentations of the main problems pertaining to elementary number theory, such as Kummers work on Fermat's last theorem.

Distributed Programming Paradigms With Cryptography Applications

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Author : Jonathan S. Greenfield
language : en
Publisher: Springer Science & Business Media
Release Date : 1994-10-26

Distributed Programming Paradigms With Cryptography Applications written by Jonathan S. Greenfield and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-10-26 with Computers categories.

This monograph describes a programming methodology based upon programming paradigms and generic programs and demonstates how distributed application programs can be developed by simple substitution of data structures and sequential procedures. The author introduces generic programs for two paradigms and shows how to derive new distributed programs for several applications related to the RSA cryptosystem, including RSA enciphering and deciphering, prime number generation, and factoring. The book is well-written and easily accessible to the non-expert. The work is an appealing combination of the theory and practice of parallel computing and provides a clear introduction to the theory and practice of RSA cryptography.

Stream Ciphers And Number Theory

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Author : Thomas W. Cusick
language : en
Publisher: Gulf Professional Publishing
Release Date : 2004-02-17

Stream Ciphers And Number Theory written by Thomas W. Cusick and has been published by Gulf Professional Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-02-17 with Language Arts & Disciplines categories.

This is the unique book on cross-fertilisations between stream ciphers and number theory. It systematically and comprehensively covers known connections between the two areas that are available only in research papers. Some parts of this book consist of new research results that are not available elsewhere. In addition to exercises, over thirty research problems are presented in this book. In this revised edition almost every chapter was updated, and some chapters were completely rewritten. It is useful as a textbook for a graduate course on the subject, as well as a reference book for researchers in related fields. · Unique book on interactions of stream ciphers and number theory. · Research monograph with many results not available elsewhere. · A revised edition with the most recent advances in this subject. · Over thirty research problems for stimulating interactions between the two areas. · Written by leading researchers in stream ciphers and number theory.

Stream Ciphers And Number Theory

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Author : T.W. Cusick
language : en
Publisher: Elsevier
Release Date : 1998-04-20

Stream Ciphers And Number Theory written by T.W. Cusick and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-04-20 with Computers categories.

This book is almost entirely concerned with stream ciphers, concentrating on a particular mathematical model for such ciphers which are called additive natural stream ciphers. These ciphers use a natural sequence generator to produce a periodic keystream. Full definitions of these concepts are given in Chapter 2.This book focuses on keystream sequences which can be analysed using number theory. It turns out that a great deal of information can be deducted about the cryptographic properties of many classes of sequences by applying the terminology and theorems of number theory. These connections can be explicitly made by describing three kinds of bridges between stream ciphering problems and number theory problems. A detailed summary of these ideas is given in the introductory Chapter 1.Many results in the book are new, and over seventy percent of these results described in this book are based on recent research results.

Cryptanalytic Attacks On Rsa

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Author : Song Y. Yan
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-11-15

Cryptanalytic Attacks On Rsa written by Song Y. Yan and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-11-15 with Computers categories.

RSA is a public-key cryptographic system, and is the most famous and widely-used cryptographic system in today's digital world. Cryptanalytic Attacks on RSA, a professional book, covers almost all known cryptanalytic attacks and defenses of the RSA cryptographic system and its variants. Since RSA depends heavily on computational complexity theory and number theory, background information on complexity theory and number theory is presented first, followed by an account of the RSA cryptographic system and its variants. This book is also suitable as a secondary text for advanced-level students in computer science and mathematics.