prime number theorem

prime num·ber the·o·rem

P p

- US Pronunciation
- US IPA
- [prahym nuhm-ber thee-er-uh m, theer-uh m]
- /praɪm ˈnʌm bər ˈθi ər əm, ˈθɪər əm/

- US Pronunciation
- US IPA
- [prahym nuhm-ber thee-er-uh m, theer-uh m]
- /praɪm ˈnʌm bər ˈθi ər əm, ˈθɪər əm/

Definitions of prime number theorem words

noun prime number theorem 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. 1
noun Definition of prime number theorem in Technology (mathematics) The number of prime numbers less than x is about x/log(x). Here "is about" means that the ratio of the two things tends to 1 as x tends to infinity. This was first conjectured by Gauss in the early 19th century, and was proved (independently) by Hadamard and de la Vall'ee Poussin in 1896. Their proofs relied on complex analysis, but Erdös and Selberg later found an "elementary" proof. 1

before 1660

One of the 46% oldest English words

First recorded in 1660-70

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adjective

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preposition

conjunction

determiner

exclamation

This term is known only to a narrow circle of people with rare knowledge. Only 1% of English native speakers know the meaning of this word.

According to our data most of word are more popular. This word is almost not used. It has a much more popular synonym.

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