Bertrand conjecture
2019年9月25日 — In 1845, Joseph Bertrand conjectured that there's always a prime between n and 2n for any integer n > 1. This was proved less than a decade ... ,2013年3月22日 — Bertrand conjectured that for every positive integer n>1 n > 1 , there exists at least one prime p p satisfying n<p<2n n < p < 2 n . , ,由 EW Weisstein 著作 · 2002 · 被引用 2 次 — . The conjecture was first made by Bertrand in 1845 (Bertrand 1845; Nagell 1951, p. 67; Havil 2003, p. 25). It was ... ,2020年1月31日 — The Bertrand-Chebyshev theorem is also known as Bertrand's postulate or Bertrand's conjecture. Some sources give this as Chebyshev's theorem ... ,由 D Galvin 著作 · 2015 · 被引用 7 次 — In 1845 Bertrand postulated that there is always a prime between n and 2n, and ... This is Bertrand's postulate, conjectured in the 1845, ... ,由 T Hashimoto 著作 · 2008 · 被引用 1 次 — Bertrand's Postulate. From MathWorld--A Wolfram. Web Resource. http://mathworld.wolfram.com/BertrandsPostulate.html. [2] Weisstein, Eric W. Legendre's ... ,For all positive integers n, there is a prime between n and 2n, inclusively. We will prove Bertrand's postulate by carefully analyzing central binomial ... ,Proof of Bertrand's postulate ... . It was first proven by Chebyshev, and a short but advanced proof was given by Ramanujan. ... in order to be large enough. This ... ,由 A Mitra 著作 · 2009 · 被引用 6 次 — Legendre's Conjecture. Finally, we sharpen the Bertrand's Postulate for prime numbers. Our results are backed by extensive empirical ...
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 Bertrand conjecture 相關參考資料
A motivated proof of Chebyshev's theorem - Williams College
2019年9月25日 — In 1845, Joseph Bertrand conjectured that there's always a prime between n and 2n for any integer n > 1. This was proved less than a decade ... https://web.williams.edu Bertrand's conjecture - PlanetMath.org
2013年3月22日 — Bertrand conjectured that for every positive integer n>1 n > 1 , there exists at least one prime p p satisfying n<p<2n n < p < 2 n . https://planetmath.org Bertrand's postulate - Wikipedia
https://en.wikipedia.org Bertrand's Postulate -- from Wolfram MathWorld
由 EW Weisstein 著作 · 2002 · 被引用 2 次 — . The conjecture was first made by Bertrand in 1845 (Bertrand 1845; Nagell 1951, p. 67; Havil 2003, p. 25). It was ... https://mathworld.wolfram.com Bertrand-Chebyshev Theorem - ProofWiki
2020年1月31日 — The Bertrand-Chebyshev theorem is also known as Bertrand's postulate or Bertrand's conjecture. Some sources give this as Chebyshev's theorem ... https://proofwiki.org Erd˝os's proof of Bertrand's postulate - University of Notre Dame
由 D Galvin 著作 · 2015 · 被引用 7 次 — In 1845 Bertrand postulated that there is always a prime between n and 2n, and ... This is Bertrand's postulate, conjectured in the 1845, ... https://www3.nd.edu On a certain relation between Legendre's conjecture ... - arXiv
由 T Hashimoto 著作 · 2008 · 被引用 1 次 — Bertrand's Postulate. From MathWorld--A Wolfram. Web Resource. http://mathworld.wolfram.com/BertrandsPostulate.html. [2] Weisstein, Eric W. Legendre's ... https://arxiv.org Proof of Bertrand's postulate Chebyshëv's theorem
For all positive integers n, there is a prime between n and 2n, inclusively. We will prove Bertrand's postulate by carefully analyzing central binomial ... https://sites.math.washington. Proof of Bertrand's postulate - Wikipedia
Proof of Bertrand's postulate ... . It was first proven by Chebyshev, and a short but advanced proof was given by Ramanujan. ... in order to be large enough. This ... https://en.wikipedia.org Some Conjectures on the Number of Primes in Certain Intervals
由 A Mitra 著作 · 2009 · 被引用 6 次 — Legendre's Conjecture. Finally, we sharpen the Bertrand's Postulate for prime numbers. Our results are backed by extensive empirical ... https://arxiv.org |