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Primes of the form \([c^ p]\)

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Publication:1910183
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DOI10.1007/BF02622100zbMath0841.11045OpenAlexW1986152895WikidataQ126264343 ScholiaQ126264343MaRDI QIDQ1910183

Glyn Harman, Roger C. Baker

Publication date: 16 July 1996

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174835


zbMATH Keywords

distribution of primes in integer part sequencesprime powers of integers


Mathematics Subject Classification ID

Distribution of primes (11N05) Probabilistic theory: distribution modulo (1); metric theory of algorithms (11K99)


Related Items (7)

Arithmetical properties of linear recurrent sequences ⋮ On the distance from a rational power to the nearest integer ⋮ Divisibility properties of certain recurrent sequences ⋮ A binary linear recurrence sequence of composite numbers ⋮ Integer parts of powers of rational numbers ⋮ Piatetski‐Shapiro prime k ‐tuplets ⋮ Divisibility of integers obtained from truncated periodic sequences



Cites Work

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  • Metric diophantine approximation with two restricted variables. III: Two prime numbers
  • A prime-representing function
  • Primes of the form \([n^ c\)]


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