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On the convergence of series of reciprocal of primes related to the Fermat numbers.

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F02%3A05020062" target="_blank" >RIV/67985840:_____/02:05020062 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    On the convergence of series of reciprocal of primes related to the Fermat numbers.

  • Original language description

    We examine densities of several sets connected with the Fermat numbers $F_m=2^{2^m}+1$. In particular, we prove that the series of reciprocals of all prime divisors of Fermat numbers is convergent. We also show that the series of reciprocals of elite

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2002

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Journal of Number Theory

  • ISSN

    0022-314X

  • e-ISSN

  • Volume of the periodical

    97

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    18

  • Pages from-to

    95-112

  • UT code for WoS article

  • EID of the result in the Scopus database