The Book Of Prime Number Records

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The Book of Prime Number Records

Author : Paulo Ribenboim
Publisher : Springer Science & Business Media
ISBN 13 : 1468405071
Total Pages : 496 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis The Book of Prime Number Records by : Paulo Ribenboim

Download or read book The Book of Prime Number Records written by Paulo Ribenboim and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text originated as a lecture delivered November 20, 1984, at Queen's University, in the undergraduate colloquim series established to honor Professors A. J. Coleman and H. W. Ellis and to acknow ledge their long lasting interest in the quality of teaching under graduate students. In another colloquim lecture, my colleague Morris Orzech, who had consulted the latest edition of the Guilllless Book oj Records, remainded me very gently that the most "innumerate" people of the world are of a certain tribe in Mato Grosso, Brazil. They do not even have a word to express the number "two" or the concept of plurality. "Yes Morris, I'm from Brazil, but my book will contain numbers different from 'one.' " He added that the most boring 800-page book is by two Japanese mathematicians (whom I'll not name), and consists of about 16 million digits of the number 11. "I assure you Morris, that in spite of the beauty of the apparent randomness of the decimal digits of 11, I'll be sure that my text will include also some words." Acknowledgment. The manuscript of this book was prepared on the word processor by Linda Nuttall. I wish to express my appreciation for the great care, speed, and competence of her work.

The New Book of Prime Number Records

Author : Paulo Ribenboim
Publisher : Springer Science & Business Media
ISBN 13 : 1461207592
Total Pages : 558 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis The New Book of Prime Number Records by : Paulo Ribenboim

Download or read book The New Book of Prime Number Records written by Paulo Ribenboim and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text originated as a lecture delivered November 20, 1984, at Queen's University, in the undergraduate colloquium senes. In another colloquium lecture, my colleague Morris Orzech, who had consulted the latest edition of the Guinness Book of Records, reminded me very gently that the most "innumerate" people of the world are of a certain trible in Mato Grosso, Brazil. They do not even have a word to express the number "two" or the concept of plurality. "Yes, Morris, I'm from Brazil, but my book will contain numbers different from ·one.''' He added that the most boring 800-page book is by two Japanese mathematicians (whom I'll not name) and consists of about 16 million decimal digits of the number Te. "I assure you, Morris, that in spite of the beauty of the appar ent randomness of the decimal digits of Te, I'll be sure that my text will include also some words." And then I proceeded putting together the magic combina tion of words and numbers, which became The Book of Prime Number Records. If you have seen it, only extreme curiosity could impel you to have this one in your hands. The New Book of Prime Number Records differs little from its predecessor in the general planning. But it contains new sections and updated records.

The Little Book of Bigger Primes

Author : Paulo Ribenboim
Publisher : Springer Science & Business Media
ISBN 13 : 0387218203
Total Pages : 370 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis The Little Book of Bigger Primes by : Paulo Ribenboim

Download or read book The Little Book of Bigger Primes written by Paulo Ribenboim and published by Springer Science & Business Media. This book was released on 2006-06-01 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: A deep understanding of prime numbers is one of the great challenges in mathematics. In this new edition, fundamental theorems, challenging open problems, and the most recent computational records are presented in a language without secrets. The impressive wealth of material and references will make this book a favorite companion and a source of inspiration to all readers. Paulo Ribenboim is Professor Emeritus at Queen's University in Canada, Fellow of the Royal Society of Canada, and recipient of the George Pólya Award of the Mathematical Association of America. He is the author of 13 books and more than 150 research articles. From the reviews of the First Edition: Number Theory and mathematics as a whole will benefit from having such an accessible book exposing advanced material. There is no question that this book will succeed in exciting many new people to the beauty and fascination of prime numbers, and will probably bring more young people to research in these areas. (Andrew Granville, Zentralblatt)

The Development of Prime Number Theory

Author : Wladyslaw Narkiewicz
Publisher : Springer Science & Business Media
ISBN 13 : 3662131579
Total Pages : 457 pages
Book Rating : 4.6/5 (621 download)

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Book Synopsis The Development of Prime Number Theory by : Wladyslaw Narkiewicz

Download or read book The Development of Prime Number Theory written by Wladyslaw Narkiewicz and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. People were already interested in prime numbers in ancient times, and the first result concerning the distribution of primes appears in Euclid's Elemen ta, where we find a proof of their infinitude, now regarded as canonical. One feels that Euclid's argument has its place in The Book, often quoted by the late Paul ErdOs, where the ultimate forms of mathematical arguments are preserved. Proofs of most other results on prime number distribution seem to be still far away from their optimal form and the aim of this book is to present the development of methods with which such problems were attacked in the course of time. This is not a historical book since we refrain from giving biographical details of the people who have played a role in this development and we do not discuss the questions concerning why each particular person became in terested in primes, because, usually, exact answers to them are impossible to obtain. Our idea is to present the development of the theory of the distribu tion of prime numbers in the period starting in antiquity and concluding at the end of the first decade of the 20th century. We shall also present some later developments, mostly in short comments, although the reader will find certain exceptions to that rule. The period of the last 80 years was full of new ideas (we mention only the applications of trigonometrical sums or the advent of various sieve methods) and certainly demands a separate book.

Prime Numbers

Author : Richard Crandall
Publisher : Springer
ISBN 13 : 9781441920508
Total Pages : 0 pages
Book Rating : 4.9/5 (25 download)

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Book Synopsis Prime Numbers by : Richard Crandall

Download or read book Prime Numbers written by Richard Crandall and published by Springer. This book was released on 2010-10-29 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bridges the gap between theoretical and computational aspects of prime numbers Exercise sections are a goldmine of interesting examples, pointers to the literature and potential research projects Authors are well-known and highly-regarded in the field

Prime Numbers: The Holy Grail Of Mathematics

Author : Thamer Naouech
Publisher : Thamer Naouech
ISBN 13 :
Total Pages : 46 pages
Book Rating : 4.6/5 (975 download)

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Book Synopsis Prime Numbers: The Holy Grail Of Mathematics by : Thamer Naouech

Download or read book Prime Numbers: The Holy Grail Of Mathematics written by Thamer Naouech and published by Thamer Naouech. This book was released on 2020-10-20 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is undeniable how prime numbers are one of the most beautiful and fascinating topics in mathematics. But what are prime numbers? Are they only numbers that are divisible by 1 and themselves, or do they have another interesting hidden face?Throughout history, the mystery of prime numbers has challenged the greatest minds in mathematics starting from Euclid of Alexandria to Fermat, Euler, Gauss, and Erdős,… who attempted to solve the puzzling problem of primes. The achievements they realized and the secrets they revealed can only assert how deep the concept of prime numbers is. Starting from how prime numbers exist in nature, and how they are of great use in modern cryptography on which our daily life completely depends, the author travels in the holy kingdom of primes diving into some conjectures involving those special numbers. From the Riemann Hypothesis and the well-known zeta function, he explains how a note in the margin turned to be Fermat’s Last Theorem, one of the most important problems in the history of mathematics. From Mersenne Primes, he gets to the twin primes, those shining little stars in the blue sky of primes. And from Euclid’s proof of the infinite number of primes he gets to a hidden pattern in the distribution of primes discovered by Stanisław Ulam and called the Ulam Spiral. After this little trip, you will know, dear reader, why prime numbers deserve to be called "the holy grail of mathematics".

The Prime Numbers and Their Distribution

Author : Gerald Tenenbaum
Publisher :
ISBN 13 : 9781470421250
Total Pages : 115 pages
Book Rating : 4.4/5 (212 download)

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Book Synopsis The Prime Numbers and Their Distribution by : Gerald Tenenbaum

Download or read book The Prime Numbers and Their Distribution written by Gerald Tenenbaum and published by . This book was released on 2000 with total page 115 pages. Available in PDF, EPUB and Kindle. Book excerpt: One notable new direction this century in the study of primes has been the influx of ideas from probability. The goal of this book is to provide insights into the prime numbers and to describe how a sequence so tautly determined can incorporate such a striking amount of randomness. The book opens with some classic topics of number theory. It ends with a discussion of some of the outstanding conjectures in number theory. In between are an excellent chapter on the stochastic properties of primes and a walk through an elementary proof of the Prime Number Theorem. This book is suitable for anyone who has had a little number theory and some advanced calculus involving estimates. Its engaging style and invigorating point of view will make refreshing reading for advanced undergraduates through research mathematicians.

On the Disposition of the Prime Numbers

Author : William Fidler
Publisher :
ISBN 13 : 9783346548702
Total Pages : 30 pages
Book Rating : 4.5/5 (487 download)

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Book Synopsis On the Disposition of the Prime Numbers by : William Fidler

Download or read book On the Disposition of the Prime Numbers written by William Fidler and published by . This book was released on 2021-09-26 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt: Academic Paper from the year 2021 in the subject Mathematics - Analysis, grade: 2.00, language: English, abstract: In this paper, a mathematical structure is formed which consists of a matrix of all of the odd numbers. It then follows that the matrix contains all of the prime numbers with the exception of 2. In conjunction with a prime number counting function denoted by pi(x) we can determine the number of primes in any row of the matrix and their location using the prime number search method developed, which uses the prime number counting function data compiled from various sources by A V Kulsha. The columns of the matrix are of infinite extent and in some there are either one or no prime numbers. In a column where there is a single prime number, this without exception appears in the first row. The matrix shows that there are prime numbers which can never be twinned and that it is not possible, with the exception of 3,5,7 that three consecutive odd numbers can be prime. Further it is demonstrated, in some of the rows, even although the distribution of the primes is random, that it is possible to predict the next prime, and in some instances the prime following it, thus predicting a set of twins. Moreover in many cases the gap between consecutive primes can be predicted. The work, in particular the Discussion contains numerous examples . Any odd number can, in principle be located precisely within the matrix. In the Appendix it is shown how, using only the prime number counting function data, to determine the primality (or otherwise) of any odd number without examining forensically the number itself. It is noted that, in contradistinction to formulae which predict particular prime numbers, such as those of Mersenne and Sophie Germain, the analysis presented here makes no distinction between any of the 'types' of primes.

The Theory of Prime Number Classification

Author : Zwide Mbulawa
Publisher : Xlibris Corporation
ISBN 13 : 9781453598931
Total Pages : 261 pages
Book Rating : 4.5/5 (989 download)

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Book Synopsis The Theory of Prime Number Classification by : Zwide Mbulawa

Download or read book The Theory of Prime Number Classification written by Zwide Mbulawa and published by Xlibris Corporation. This book was released on 2010-11-01 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Theory of Prime Number Classification This is an expository work of mathematical research into the prime numbers based on pattern methodology and classification techniques. As a comprehensive research into the classification systems for prime numbers, it address the following: X Why prime numbers are regular yet random. X What are the building blocks of prime numbers X What is the framework for prime number generation This is done by developing the following classification systems: X The Prime Root Classification. All prime numbers are constituted by roots, which are defined as the building blocks of the prime number. X The Positional Classification. A two dimensional prime number space is defined that allows certain types of distribution analysis of primes to be made, deriving count functions and establishing the mean property of primes X The Delta Classification of Primes. This classification creates prime families in terms of gaps. Prime gaps are found to have positive, negative and a steady gap acceleration. X The Gap Theory Classification. All prime gaps and prime number behavior are based on Gap 2, Gap 4 and Gap 6. This then develops a classification system. Using the above classification systems, and defining a special function, a theory of prime number generation is then suggested, where this leads to the development of an algebraic sieve for finding prime numbers. The algebraic sieve contains all the relevant information about prime numbers, including how gaps widen, and prime number patterns. Consequently, it is then used to address the problem of finding a proof for the twin prime conjecture. As an expository work, the book also shares personal experiences and thoughts with regard to the research, and the development of expository mathematics. A program for prime number classification is available at www.zwideprimes.com

The World Almanac Book of Records

Author : Mark Young
Publisher :
ISBN 13 : 9780886879785
Total Pages : 512 pages
Book Rating : 4.8/5 (797 download)

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Book Synopsis The World Almanac Book of Records by : Mark Young

Download or read book The World Almanac Book of Records written by Mark Young and published by . This book was released on 2006-04 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: Collects information about firsts, feats, facts, and phenomena, arranged by subject and supplying the milestones and superlatives for each subject.

Scholastic Book of World Records 2005

Author : Jenifer Corr Morse
Publisher :
ISBN 13 : 9780439649353
Total Pages : 304 pages
Book Rating : 4.6/5 (493 download)

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Book Synopsis Scholastic Book of World Records 2005 by : Jenifer Corr Morse

Download or read book Scholastic Book of World Records 2005 written by Jenifer Corr Morse and published by . This book was released on 2004 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: A reference guide to many records including those in the realm of politics, sports, the environment, space and popular culture, includes a section of United States records.

Secret History

Author : Craig Bauer
Publisher : CRC Press
ISBN 13 : 1351668498
Total Pages : 775 pages
Book Rating : 4.3/5 (516 download)

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Book Synopsis Secret History by : Craig Bauer

Download or read book Secret History written by Craig Bauer and published by CRC Press. This book was released on 2021-04-20 with total page 775 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first edition of this award-winning book attracted a wide audience. This second edition is both a joy to read and a useful classroom tool. Unlike traditional textbooks, it requires no mathematical prerequisites and can be read around the mathematics presented. If used as a textbook, the mathematics can be prioritized, with a book both students and instructors will enjoy reading. Secret History: The Story of Cryptology, Second Edition incorporates new material concerning various eras in the long history of cryptology. Much has happened concerning the political aspects of cryptology since the first edition appeared. The still unfolding story is updated here. The first edition of this book contained chapters devoted to the cracking of German and Japanese systems during World War II. Now the other side of this cipher war is also told, that is, how the United States was able to come up with systems that were never broken. The text is in two parts. Part I presents classic cryptology from ancient times through World War II. Part II examines modern computer cryptology. With numerous real-world examples and extensive references, the author skillfully balances the history with mathematical details, providing readers with a sound foundation in this dynamic field. FEATURES Presents a chronological development of key concepts Includes the Vigenère cipher, the one-time pad, transposition ciphers, Jefferson’s wheel cipher, Playfair cipher, ADFGX, matrix encryption, Enigma, Purple, and other classic methods Looks at the work of Claude Shannon, the origin of the National Security Agency, elliptic curve cryptography, the Data Encryption Standard, the Advanced Encryption Standard, public-key cryptography, and many other topics New chapters detail SIGABA and SIGSALY, successful systems used during World War II for text and speech, respectively Includes quantum cryptography and the impact of quantum computers

The 32nd Mersenne Prime

Author : David Slowinski
Publisher : Good Press
ISBN 13 :
Total Pages : 138 pages
Book Rating : 4.4/5 (64 download)

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Book Synopsis The 32nd Mersenne Prime by : David Slowinski

Download or read book The 32nd Mersenne Prime written by David Slowinski and published by Good Press. This book was released on 2020-03-16 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The 32nd Mersenne Prime: Predicted by Mersenne" by David Slowinski In mathematics, a Mersenne prime is a prime number that is one less than a power of two. They are named after Marin Mersenne, a French Minim friar, who studied them in the early 17th century. In this book, readers, particularly math students and mathematicians, are able to read the complete 32nd prime number to get a better understanding of this concept.

Prime Numbers

Author : David Wells
Publisher : Turner Publishing Company
ISBN 13 : 1118045718
Total Pages : 260 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Prime Numbers by : David Wells

Download or read book Prime Numbers written by David Wells and published by Turner Publishing Company. This book was released on 2011-01-13 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: A fascinating journey into the mind-bending world of prime numbers Cicadas of the genus Magicicada appear once every 7, 13, or 17 years. Is it just a coincidence that these are all prime numbers? How do twin primes differ from cousin primes, and what on earth (or in the mind of a mathematician) could be sexy about prime numbers? What did Albert Wilansky find so fascinating about his brother-in-law's phone number? Mathematicians have been asking questions about prime numbers for more than twenty-five centuries, and every answer seems to generate a new rash of questions. In Prime Numbers: The Most Mysterious Figures in Math, you'll meet the world's most gifted mathematicians, from Pythagoras and Euclid to Fermat, Gauss, and Erd?o?s, and you'll discover a host of unique insights and inventive conjectures that have both enlarged our understanding and deepened the mystique of prime numbers. This comprehensive, A-to-Z guide covers everything you ever wanted to know--and much more that you never suspected--about prime numbers, including: * The unproven Riemann hypothesis and the power of the zeta function * The "Primes is in P" algorithm * The sieve of Eratosthenes of Cyrene * Fermat and Fibonacci numbers * The Great Internet Mersenne Prime Search * And much, much more

The Distribution of Prime Numbers

Author : Albert Edward Ingham
Publisher : Cambridge University Press
ISBN 13 : 9780521397896
Total Pages : 140 pages
Book Rating : 4.3/5 (978 download)

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Book Synopsis The Distribution of Prime Numbers by : Albert Edward Ingham

Download or read book The Distribution of Prime Numbers written by Albert Edward Ingham and published by Cambridge University Press. This book was released on 1990-09-28 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1934, this volume presents the theory of the distribution of the prime numbers in the series of natural numbers. Despite being long out of print, it remains unsurpassed as an introduction to the field.

Scholastic Book of World Records 2011

Author : Bruce Glassman
Publisher : Turtleback Books
ISBN 13 : 9780606148856
Total Pages : 0 pages
Book Rating : 4.1/5 (488 download)

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Book Synopsis Scholastic Book of World Records 2011 by : Bruce Glassman

Download or read book Scholastic Book of World Records 2011 written by Bruce Glassman and published by Turtleback Books. This book was released on 2010 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A reference guide includes records in the realms of politics, sports, the environment, nature, space, and popular culture, and includes a section of United States records.

360 Sound

Author : Sean Wilentz
Publisher : Chronicle Books
ISBN 13 : 9781452107561
Total Pages : 0 pages
Book Rating : 4.1/5 (75 download)

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Book Synopsis 360 Sound by : Sean Wilentz

Download or read book 360 Sound written by Sean Wilentz and published by Chronicle Books. This book was released on 2012-11-14 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: For 125 years, Columbia Records has remained one of the most vibrant and storied names in prerecorded sound, nurturing the careers of legends such as Bessie Smith, Frank Sinatra, Barbra Streisand, Miles Davis, Bob Dylan, Johnny Cash, Bruce Springsteen, Beyoncé, and many more. Written by distinguished historian Sean Wilentz, 360 Sound tells the story of the label's rich history as it interweaves threads of technical and social change with the creation of some of the greatest albums ever made. Featuring over 300 rare and revealing images from the Columbia archives, this lavishly illustrated celebration is a must-have for any serious music fan.