Factorization and primality testing /

Civilizations as separate as the Egyptians of ten thousand years ago and the Central American Mayans adopted a month of thirty days and a year of twelve months. At the other extreme are those integers with no smaller divisors other than 1, integers which might be called the indivisibles.

Bibliografiske detaljer
Hovedforfatter: Bressoud, David M. (autor)
Format: Pakke
Sprog:Spanish
English
Udgivet: New York: Springer-Verlag, 2019.
Udgivelse:First edition
Serier:Undergraduate texts in mathematics
Fag:
Indholdsfortegnelse:
  • Unique factorization and the Euclidean algorithm
  • Primes and perfect numbers
  • Fermat, euler, and pseudoprimes
  • The RSA public key crypto-system
  • Factorization techniques from fermat to today
  • Strong pseudoprimes and quadratic residues
  • Quadratic reciprocity
  • The quadratic sieve
  • Primitive roots and a test for primality
  • continued fractions
  • Continued fractions continued, applications
  • Lucas sequences
  • Groups and elliptic curves
  • Applications of elliptic curves
  • The primes below 5000.