1996, ISBN: 0387944575
[EAN: 9780387944579], Neubuch, [SC: 0.0], [PU: Springer New York], PRIMZAHL; ZAHL - ZÄHLEN ZAHLENSYSTEM ZIFFER; MERSENNENUMBER; MERSENNEPRIME; PRIMENUMBER; GRAPH; SIM; CRYPTOGRAPHY, Druck… Mehr…
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ISBN: 9780387944579
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… Mehr…
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1996, ISBN: 9780387944579
Springer, 1996. 595 pp., Hardcover, some light wrinkles to a few internal pages, else very good. - If you are reading this, this item is actually (physically) in our stock and ready for… Mehr…
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1996, ISBN: 0387944575
[EAN: 9780387944579], Neubuch, [SC: 0.0], [PU: Springer New York], PRIMZAHL; ZAHL - ZÄHLEN ZAHLENSYSTEM ZIFFER; MERSENNENUMBER; MERSENNEPRIME; PRIMENUMBER; GRAPH; SIM; CRYPTOGRAPHY, Druck… Mehr…
ISBN: 9780387944579
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… Mehr…
1996
ISBN: 9780387944579
Springer, 1996. 595 pp., Hardcover, some light wrinkles to a few internal pages, else very good. - If you are reading this, this item is actually (physically) in our stock and ready for… Mehr…
1995, ISBN: 9780387944579
[PU: Springer New York], Hardcover 541 S. 235x155 mm Zustand: lediglich schwache Lesespuren, DE, [SC: 9.95], gewerbliches Angebot, [GW: 2150g], Banküberweisung, PayPal, Internationaler Ve… Mehr…
2004, ISBN: 0387944575
[EAN: 9780387944579], Tweedehands, als nieuw, [SC: 34.34], [PU: Springer], Like New, Books
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Detailangaben zum Buch - The New Book of Prime Number Records (Computers and Medicine)
EAN (ISBN-13): 9780387944579
ISBN (ISBN-10): 0387944575
Gebundene Ausgabe
Erscheinungsjahr: 1996
Herausgeber: Springer
479 Seiten
Gewicht: 1,011 kg
Sprache: eng/Englisch
Buch in der Datenbank seit 2007-01-07T13:12:19+01:00 (Berlin)
Detailseite zuletzt geändert am 2024-01-09T14:01:16+01:00 (Berlin)
ISBN/EAN: 0387944575
ISBN - alternative Schreibweisen:
0-387-94457-5, 978-0-387-94457-9
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: ribenboim, paulo, benjamin, paula, morris, mathematik
Titel des Buches: new book, prime numbers, the book prime number records, just for the records, know your number, the little book, ovo book, prime number record
Daten vom Verlag:
Autor/in: Paulo Ribenboim
Titel: The New Book of Prime Number Records
Verlag: Springer; Springer US
541 Seiten
Erscheinungsjahr: 1996-02-02
New York; NY; US
Gewicht: 2,150 kg
Sprache: Englisch
109,99 € (DE)
BB; Discrete Mathematics; Hardcover, Softcover / Mathematik/Sonstiges; Diskrete Mathematik; Verstehen; Graph; Mersenne number; Mersenne prime; Prime; Prime number; Sim; cryptography; Number Theory; Discrete Mathematics; Number Theory; Zahlentheorie; BB; BC; EA
1 How Many Prime Numbers Are There?.- I. Euclid’s Proof.- II. Goldbach Did It Too!.- III. Euler’s Proof.- IV. Thue’s Proof.- V. Three Forgotten Proofs.- A. Perott’s Proof.- B. Auric’s Proof.- C. Métrod’s Proof.- VI. Washington’s Proof.- VII. Fürstenberg’s Proof.- VIII. Euclidean Sequences.- IX. Generation of Infinite Sequences of Pairwise Relatively Prime Integers.- 2 How to Recognize Whether a Natural Number Is a Prime.- I. The Sieve of Eratosthenes.- II. Some Fundamental Theorems on Congruences.- A. Fermat’s Little Theorem and Primitive Roots Modulo a Prime.- B. The Theorem of Wilson.- C. The Properties of Giuga, Wolstenholme, and Mann and Shanks.- D. The Power of a Prime Dividing a Factorial.- E. The Chinese Remainder Theorem.- F. Euler’s Function.- G. Sequences of Binomials.- H. Quadratic Residues.- III. Classical Primality Tests Based on Congruences.- IV. Lucas Sequences.- V. Primality Tests Based on Lucas Sequences.- VI. Fermat Numbers.- VII. Mersenne Numbers.- VIII. Pseudoprimes.- A. Pseudoprimes in Base 2 (psp).- B. Pseudoprimes in Base a (psp(a)).- C. Euler Pseudoprimes in Base a (epsp(a)).- D. Strong Pseudoprimes in Base a (spsp(a)).- E. Somer Pseudoprimes.- IX. Carmichael Numbers.- X. Lucas Pseudoprimes.- A. Fibonacci Pseudoprimes.- B. Lucas Pseudoprimes (lpsp(P, Q)).- C. Euler-Lucas Pseudoprimes (elpsp(P, Q)) and Strong Lucas Pseudoprimes (slpsp(P, Q)).- D. Somer-Lucas Pseudoprimes.- E. Carmichael-Lucas Numbers.- XL Primality Testing and Large Primes.- A. The Cost of Testing.- B. More Primality Tests.- C. Primality Certification.- D. Fast Generation of Large Primes.- E. Titanic Primes.- F. Curious Primes.- XII. Factorization and Public Key Cryptography.- A. Factorization of Large Composite Integers.- B. Public Key Cryptography.- 3 Are There Functions Defining Prime Numbers?.- I. Functions Satisfying Condition (a).- II. Functions Satisfying Condition (b).- III. Functions Satisfying Condition (c).- IV. Prime-Producing Polynomials.- A. Surveying the Problems.- B. Polynomials with Many Initial Prime Absolute Values.- C. The Prime-Producing Polynomials Races.- D. Primes of the Form m2 + 1.- 4 How Are the Prime Numbers Distributed?.- I. The Growth of ?(x).- A. History Unfolding.- B. Sums Involving the Möbius Function.- C. Tables of Primes.- D. The Exact Value of ?(x) and Comparison with x/(log x), Li(x), and R(x).- E. The Nontrivial Zeros of ?(s).- F. Zero-Free Regions for ?(s) and the Error Term in the Prime Number Theorem.- G. The Growth of ?(s).- H. Some Properties of ?(x).- II. The n th Prime and Gaps.- A. The n th Prime.- B. Gaps Between Primes.- Interlude.- III. Twin Primes.- Addendum on k-Tuples of Primes.- IV. Primes in Arithmetic Progression.- A. There Are Infinitely Many!.- B. The Smallest Prime in an Arithmetic Progression.- C. Strings of Primes in Arithmetic Progression.- V. Primes in Special Sequences.- VI. Goldbach’s Famous Conjecture.- VII. The Waring-Goldbach Problem.- A. Waring’s Problem.- B. The Waring-Goldbach Problem.- VIII. The Distribution of Pseudoprimes, Carmichael Numbers, and Values of Euler’s Function.- A. Distribution of Pseudoprimes.- B. Distribution of Carmichael Numbers.- C. Distribution of Lucas Pseudoprimes.- D. Distribution of Elliptic Pseudoprimes.- E. Distribution of Values of Euler’s Function.- 5 Which Special Kinds of Primes Have Been Considered?.- I. Regular Primes.- II. Sophie Germain Primes.- III. Wieferich Primes.- IV. Wilson Primes.- V. Repunits and Similar Numbers.- VI. Primes with Given Initial and Final Digits.- VII. Numbers k×2n±1.- VIII. Primes and Second-Order Linear Recurrence Sequences.- IX. The NSW Primes.- 6 Heuristic and Probabilistic Results about Prime Numbers.- I. Prime Values of Linear Polynomials.- II. Prime Values of Polynomials of Arbitrary Degree.- III. Polynomials with Many Successive Composite Values.- IV. Partitio Numerorum.- V. Some Probabilistic Estimates.- A. Distribution of Mersenne Primes.- B. The log log Philosophy.- VI. The Density of the Set of Regular Primes.- Conclusion.- The Pages That Couldn’t Wait.- Primes up to 10,000.- Index of Tables.- Index of Names.Weitere, andere Bücher, die diesem Buch sehr ähnlich sein könnten:
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