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Bertrand's postulate

In number theory, Bertrand's postulate is the theorem that for any integer n > 3 {\displaystyle n>3} , there exists at least one prime number p {\displaystyle p} with

Generalizations, Better results & Sylvester's theorem

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Overview

Prime number theorem

Generalizations

Sylvester's theorem

Erdős's theorems

Better results

Consequences

Bibliography

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Map overview Semantic statistics

Bertrand's postulate

Nodes51
Edges50
Triples64
Avg. degree1.96
Density0.039216
Components1

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Bertrand's postulate

Top relations

related to Bibliography · 31
Bertrand's postulate → Amer, Bertrand's, Caldwell, Cambridge, Cambridge Univ, Classical, Erdős, Goldbach's Conjecture Implies Bertrand's, ISBN, Japan Acad, Journal, London Mathematical Society, Math, Montgomery, Monthly, Multiplicative, Nagura, On, Postulate, Press
related to Prime number theorem · 10
Bertrand's postulate → Again, Bertrand's, Error, In, Legendre's, PNT, So, So Bertrand's, The, Therefore
related to Sylvester's theorem · 8
Bertrand's postulate → According, Bertrand's, Issai Schur, Schur, Since, Sylvester, Sylvester's, The
related to External links · 7
Bertrand's postulate → Eric, Jonathan, MathWorld, Mizar, Sondow, T56Bertrand's, Weisstein
related to Erdős's theorems · 5
Bertrand's postulate → Bertrand's, Chebyshev, Erdős, In, See
see also · 2
Bertrand's postulate → Bertrand's, Oppermann's
is a · 1
Bertrand's postulate → theorem that for any integer n

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Important terminology

displaystyle prime postulate number bertrand's primes theorem interval one geq proved also proof exists log least ramanujan pi integer 2n

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Bertrand's postulateis atheorem that for any integer n0.90text
Bertrand's postulaterelated to BibliographyErdős0.60section
Bertrand's postulaterelated to BibliographyTheorem0.60section
Bertrand's postulaterelated to BibliographySylvester0.60section
Bertrand's postulaterelated to BibliographySchur0.60section
Bertrand's postulaterelated to BibliographyJournal0.60section
Bertrand's postulaterelated to BibliographyLondon Mathematical Society0.60section
Bertrand's postulaterelated to BibliographyNagura0.60section
Bertrand's postulaterelated to BibliographyOn0.60section
Bertrand's postulaterelated to BibliographyProc0.60section
Bertrand's postulaterelated to BibliographyJapan Acad0.60section
Bertrand's postulaterelated to BibliographyCaldwell0.60section

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