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Prime Counting Function

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The prime counting function is a function that gives the number of primes less than or equal to a given positive number.

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

Prerequisites

Prime Number: A prime number is a positive integer that has exactly one positive integer divisor other than 1 (i.e., no factors other than 1 and itself). Prime numbers are often simply called primes.

Classroom Articles on Number Theory (Up to College Level)

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