On Cullen numbers which are both Riesel and Sierpiński numbers

DOI10.1016/j.jnt.2012.05.021zbMath1272.11023OpenAlexW1995367117MaRDI QIDQ455795

Pedro Berrizbeitia, Marcos J. González, J. G. Fernandes, V. Janitzio Mejía Huguet, Florian Luca

Publication date: 22 October 2012

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2012.05.021

zbMATH Keywords

covering congruencesCullen numbersRiesel numbersSierpiński numbers

Mathematics Subject Classification ID

Number-theoretic algorithms; complexity (11Y16) Congruences; primitive roots; residue systems (11A07) Arithmetic progressions (11B25) Factorization; primality (11A51)

Related Items (3)

Generalized Cullen numbers in linear recurrence sequences ⋮ Cullen numbers in sums of terms of recurrence sequence ⋮ Iterated Riesel and Iterated Sierpiński Numbers

Cites Work

• Unnamed Item
• Sur un problème concernant les nombres \(k\cdot 2^n + 1\)
• On powers associated with Sierpiński numbers, Riesel numbers and Polignac's conjecture
• A Report on Primes of the Form k⋅2 n + 1 and On Factors of Fermat Numbers
• New Cullen Primes
• Lucasian Criteria for the Primality of  = h ⋅2 n - 1

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