The Development of Prime Number Theory

Narkiewicz, W.

doi:10.1007/978-3-662-13157-2

Cited by 84 publications

(62 citation statements)

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“…Bertrand (1845) stated the assertion -called Bertrand's Postulate -that there is always a prime between n and 2n. The same assertion -also without any proof -appeared about 100 years earlier in one of the unpublished manuscripts of Euler (see Narkiewicz (2000), p. 104). Bertrand's Postulate was proven already 5 years later by Čebyšev (1850).…”

Section: Let Us Introduce the Followingmentioning

confidence: 61%

Landau’s problems on primes

Pintz¹

2009

J. Théor. Nombres Bordeaux

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Section: Let Us Introduce the Followingmentioning

confidence: 61%

Landau’s problems on primes

Pintz¹

2009

J. Théor. Nombres Bordeaux

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“…In short, Bashmakova's fix is no fix at all. (We discovered Bashmakova's paper from a reference in Narkiewicz [8]. )…”

Section: How To Fix Euclid's Argumentmentioning

confidence: 93%

Did Euclid Need the Euclidean Algorithm to Prove Unique Factorization?

Pengelley¹,

Richman²

2006

The American Mathematical Monthly

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“…We will use the Cauchy-Davenport sumset inequality and another lemma in number theory about prime gaps, a consequence of a theorem of Rosser and Schoenfeld [44,40]. 2 Theorem 4.1.…”

Section: A Simple Randomized Lattice Sparsifier Constructionmentioning

confidence: 99%