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Prime Counting Function -- from the MathWorld Classroom
TOPICS Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics Foundations of Mathematics Geometry History and Terminology Number Theory Probability and Statistics Recreational Mathematics Topology Alphabetical Index New in MathWorld Prime Counting Function
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
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