A congruence relation of the Catalan-Mersenne numbers

Ick Sun Eum ()
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Ick Sun Eum: Dongguk University

Indian Journal of Pure and Applied Mathematics, 2018, vol. 49, issue 3, 521-526

Abstract: Abstract The Catalan-Mersenne numbers cn are double Mersenne numbers defined by c0 = 2 and $${c_n} = {2^{{c_{n - 1}}}} - 1$$ c n = 2 c n − 1 − 1 for positive integers n. We prove a certain congruence relation of the Catalan- Mersenne numbers.

Keywords: Mersenne number; congruences (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s13226-018-0281-8

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