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prime number theorem

American  

noun

Mathematics.
  1. the theorem that the number of prime numbers less than or equal to a given number is approximately equal to the given number divided by its natural logarithm.


Etymology

Origin of prime number theorem

First recorded in 1660–70

Example Sentences

Examples are provided to illustrate real-world usage of words in context. Any opinions expressed do not reflect the views of Dictionary.com.

We can use the prime number theorem to estimate how many missing primes there are between M74207281 and the next smallest prime.

From Slate • Jan. 22, 2016

The prime number theorem, first proved in the late 1800s, quantifies that decline.

From Slate • Jan. 22, 2016

We don’t know the exact answer, but the prime number theorem gets us close enough.

From Slate • Jan. 22, 2016

Another visit to the prime number theorem shows there are approximately 1017,425,163 primes less than the next-largest known prime.

From Slate • Jan. 22, 2016

Erdős later did a similar job of simplifying the prime number theorem, which reveals how prime numbers will be distributed.

From Scientific American • Mar. 26, 2013

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