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

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Famous quotes containing the word arithmetic:

    Under the dominion of an idea, which possesses the minds of multitudes, as civil freedom, or the religious sentiment, the power of persons are no longer subjects of calculation. A nation of men unanimously bent on freedom, or conquest, can easily confound the arithmetic of statists, and achieve extravagant actions, out of all proportion to their means; as, the Greeks, the Saracens, the Swiss, the Americans, and the French have done.
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