Prime Numbers: The Most Mysterious Figures in Math 1st Edition by David Wells – Ebook PDF Instant Download/Delivery: 1118045718, 9781118045718
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ISBN 10: 1118045718
ISBN 13: 9781118045718
Author: David Wells
Prime Numbers: The Most Mysterious Figures in Math 1st Edition: 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
Prime Numbers: The Most Mysterious Figures in Math 1st Edition Table of contents:
- Entries A to Z
- abc conjecture
- abundant number
- AKS algorithm for primality testing
- aliquot sequences (sociable chains)
- almost-primes
- amicable numbers
- Andrica’s conjecture
- arithmetic progressions, of primes
- Aurifeuillian factorization
- average prime
- Bang’s theorem
- Bateman’s conjecture
- Beal’s conjecture, and prize
- Benford’s law
- Bernoulli numbers
- Bertrand’s postulate
- Bonse’s inequality
- Brier numbers
- Brocard’s conjecture
- Brun’s constant
- Buss’s function
- Carmichael numbers
- Catalan’s conjecture
- Catalan’s Mersenne conjecture
- Champernowne’s constant
- champion numbers
- Chinese remainder theorem
- cicadas and prime periods
- circle, prime
- circular prime
- Clay prizes, the
- compositorial
- concatenation of primes
- conjectures
- consecutive integer sequence
- consecutive numbers
- consecutive primes, sums of
- Conway’s prime-producing machine
- cousin primes
- Cullen primes
- Cunningham project
- Cunningham chains
- decimals, recurring (periodic)
- deficient number
- deletable and truncatable primes
- Demlo numbers
- descriptive primes
- Dickson’s conjecture
- digit properties
- Diophantus (c. AD 200; d. 284)
- Dirichlet’s theorem and primes in arithmetic series
- distributed computing
- divisibility tests
- divisors (factors)
- economical numbers
- Electronic Frontier Foundation
- elliptic curve primality proving
- emirp
- Eratosthenes of Cyrene, the sieve of
- Erdös, Paul (1913-1996)
- errors
- Euclid (c. 330-270 BC)
- Euler, Leonhard (1707-1783)
- factorial
- factorial primes
- factorial sums
- factorials, double, triple . . .
- factorization, methods of
- ……………….
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