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    Prime divisors of palindromes

    Banks, William David, 1964-
    Shparlinski, Igor E.
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    Date
    2005
    Format
    Article
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    Abstract
    In this paper, we study some divisibility properties of palindromic numbers in a fixed base g ≥ 2. In particular, if PL denotes the set of palindromes with precisely L digits, we show that for any sufficiently large value of L there exists a palindrome n ∈ PL with at least (log log n)1+o(1) distinct prime divisors, and there exists a palindrome n ∈ PL with a prime factor of size at least (log n)2+o(1).
    URI
    http://hdl.handle.net/10355/10815
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    Mathematics publications (MU)
    Citation
    Period. Math. Hungar. 51 (2005), 1-10.
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    • Mathematics publications (MU)

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