List of Number Theory Topics - Modular Arithmetic

Modular Arithmetic

  • Montgomery reduction
  • Modular exponentiation
  • Linear congruence theorem
  • Method of successive substitution
  • Chinese remainder theorem
  • Fermat's little theorem
    • Proofs of Fermat's little theorem
  • Fermat quotient
  • Euler's totient function
    • Noncototient
    • Nontotient
  • Euler's theorem
  • Wilson's theorem
  • Primitive root modulo n
    • Multiplicative order
    • Discrete logarithm
  • Quadratic residue
    • Euler's criterion
    • Legendre symbol
    • Gauss's lemma (number theory)
  • Congruence of squares
  • Luhn formula
  • Mod n cryptanalysis

Read more about this topic:  List Of Number Theory Topics

Famous quotes containing the word arithmetic:

    “I hope I may claim in the present work to have made it probable that the laws of arithmetic are analytic judgments and consequently a priori. Arithmetic thus becomes simply a development of logic, and every proposition of arithmetic a law of logic, albeit a derivative one. To apply arithmetic in the physical sciences is to bring logic to bear on observed facts; calculation becomes deduction.”
    —Gottlob Frege (1848–1925)