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Primes in Fibonacci progressions (Q1898866)

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scientific article; zbMATH DE number 800594
Language Label Description Also known as
English
Primes in Fibonacci progressions
scientific article; zbMATH DE number 800594

    Statements

    title
    Primes in Fibonacci progressions (English)
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    author
    Klaus Langmann
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    publication date
    16 April 1996
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    review text
    Es wird gezeigt, daß eine gewisse Klasse von mit Fibonacci-Zahlen gebildeten Ausdrücken nur selten Primzahlen sind. Ein spezielles Beispiel ist der Ausdruck \(F^2_n+ F^2_m\), der zwar für \(m=3\) und \(n=2\) bzw. 4 eine Primzahl liefert, aber für großes ungerades \(|m-n |\) stets nicht prim ist.
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    zbMATH Keywords
    distribution of primes
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    Fibonacci progressions
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    Identifiers

    DOI
    10.1007/BF01270689
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    zbMATH DE Number
    800594
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    OpenAlex ID
    W2043582686
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