prime number theorem

The "prime number theorem" is a key result in number theory that provides an approximate count of prime numbers less than a given number.

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Definition

C2Number Theory

(technical, academic)A theorem stating that the number of prime numbers less than a given number n is approximately equal to n divided by the natural logarithm of n.

Example

  • According to the prime number theorem, there are roughly 78,498 prime numbers less than one million.
  • The prime number theorem helps mathematicians understand the distribution of prime numbers.

Similar

Terms that have similar or relatively close meanings to "prime number theorem":

prime numberprime idealalmost prime