prime number theorem
prime number theorem proper noun: the theorem that the number of prime numbers less than n asymptotically approaches n / ln(n) as n approaches infinity.
Proper noun
the prime number theorem
- The theorem that the number of prime numbers less than n asymptotically approaches n / ln(n) as n approaches infinity.
- But we cannot infer from them the equivalence in any sense of these two propositions, since we have used in our proof of the prime number theorem a subsidiary theorem on the order of magnitude of #92;zeta'(s)#47;#92;zeta(s).1932, A. E. Ingham, Albert Edward Ingham, The Distribution of Prime Numbers, Cambridge University Press, page 39
- 1974 [Academic Press], Harold M. Edwards, Riemann's Zeta Function, 2001, Dover, page 182,
The problem of locating the roots p of ζ, and consequently the problem of estimating the error in the prime number theorem, is closely related to the problem of estimating the growth of ζ in the critical strip...
Noun
prime number theorem (plural prime number theorems)
- Any theorem that concerns the distribution of prime numbers.
- In [6], [11], abstract prime number theorems are proved under a variety of conditions.1996, Illinois Journal of Mathematics, volume 40, University of Illinois Press, page 245
prime number theorem meaning in Tamil
prime number theorem in Tamil
- பகா எண் தேற்றம்
Forms of prime number theorem
| plural | prime number theorems |
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Questions about prime number theorem
- What does prime number theorem mean?
- Prime number theorem means the theorem that the number of prime numbers less than n asymptotically approaches n / ln(n) as n approaches infinity.
- What is prime number theorem in Tamil?
- Prime number theorem in Tamil is பகா எண் தேற்றம். See Prime number theorem meaning in Tamil.
- What part of speech is prime number theorem?
- Prime number theorem can be a proper noun or a noun.
Words near prime number theorem in the dictionary
Source and license
Adapted from Wiktionary: prime number theorem (page history and authors); prime number theorem (Tamil Wiktionary) (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.
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Cite this entry: “prime number theorem.” Word.ws, https://word.ws/prime_number_theorem. Based on Wiktionary, CC BY-SA 4.0.