Maier's theorem

id: maier-s-theorem-289-12602070
title: Maier's theorem
text: In number theory, Maier's theorem is a theorem about the numbers of primes in short intervals for which Cramér's probabilistic model of primes gives a wrong answer. The theorem states that if π is the prime-counting function and λ is greater than 1 then does not have a limit as x tends to infinity; more precisely the limit superior is greater than 1, and the limit inferior is less than 1. The Cramér model of primes predicts incorrectly that it has limit 1 when λ≥2.
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original url: https://en.wikipedia.org/wiki/Maier%27s_theorem
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date modified: 2021-07-22T11:00:31Z
main entity: {"identifier":"Q6735549","url":"https://www.wikidata.org/entity/Q6735549"}
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