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Fermat's Last Theorem

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Fermat's last theorem is a famous problem in mathematics conjectured by Pierre Fermat around 1637 but not proved until 1995 which states that any number that is a power greater than two cannot be the sum of two like powers.

Fermat's last theorem is a college-level concept that would be first encountered in a number theory course.

Prerequisites

Diophantine Equation: A Diophantine equation is an equation for which only integer solutions are allowed.
Number Theory: A field of mathematics sometimes called "higher arithmetic" consisting of the study of the properties of integers. Primes and prime factorization are especially important concepts in number theory.

Classroom Articles on Number Theory (Up to College Level)

  • Congruence
  • Prime Counting Function
  • Continued Fraction
  • Prime Factorization Algorithms
  • Convergent
  • Prime Number Theorem
  • Divisor Function
  • Quadratic Reciprocity Theorem
  • Euclidean Algorithm
  • Squarefree
  • Euler-Mascheroni Constant
  • Totient Function
  • Partition
  • Transcendental Number
  • Perfect Number