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Congruence

Explore Congruence on MathWorld


A congruence is an equation in modular arithmetic, i.e., one in which only the remainders relative to some base, known as the "modulus," are significant.

Congruence is a college-level concept that would be first encountered in a number theory course.


Classroom Articles on Number Theory (Up to College Level)

  • Continued Fraction
  • Perfect Number
  • Convergent
  • Prime Counting Function
  • Diophantine Equation
  • Prime Factorization Algorithms
  • Divisor Function
  • Prime Number Theorem
  • Euclidean Algorithm
  • Quadratic Reciprocity Theorem
  • Euler-Mascheroni Constant
  • Squarefree
  • Fermat's Last Theorem
  • Totient Function
  • Number Theory
  • Transcendental Number
  • Partition