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Revision History for A175530
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Pseudoprime Chebyshev numbers: odd composite integers n such that T_n(a) == a (mod n) for all integers a, where T(x) is Chebyshev polynomial of first kind.
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COMMENTS
Named after the Russian mathematician Pafnuty Chebyshev (1821-1894) after whom the "Chebyshev polynomials" were also named. - Amiram Eldar, Jun 15 2021
LINKS
David Pokrass Jacobs, Mohamed O. Rayes, and Vilmar Trevisan, <a href="http://mi.mathnet.ru/eng/adm159">Characterization of Chebyshev Numbers</a>, Algebra and Discrete Mathematics, Vol. 2 (2008), pp. 65-82.
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DATA
7056721, 79397009999, 443372888629441, 582920080863121, 2491924062668039, 14522256850701599, 39671149333495681, 242208715337316001, 729921147126771599, 842526563598720001, 1881405190466524799, 2380296518909971201, 3188618003602886401, 33711266676317630401, 54764632857801026161, 55470688965343048319, 72631455338727028799, 122762671289519184001, 361266866679292635601, 734097107648270852639
COMMENTS
No other terms below 10^2021.
EXTENSIONS
a(3)-a(1720) from Max Alekseyev, Jun 08 2010, Feb 26 2018, Dec 16 2020
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LINKS
Kok Seng Chua, <a href="https://arxiv.org/abs/2010.02677">Chebyshev polynomials and higher order Lucas Lehmer algorithm</a>, arXiv:2010.02677 [math.NT], 2020. Mentions this sequence.