On binomial coefficients associated with Sierpi\'{n}ski and Riesel numbers

zbMath1482.11013arXiv2010.08085MaRDI QIDQ4958942

Grace Barger, Joshua Harrington, Ashley Armbruster, Emily Eckard, Tyler Dvoracheck, Yewen Sun, Sofya Bykova, Wing Hong Tony Wong

Publication date: 15 September 2021

Full work available at URL: https://arxiv.org/abs/2010.08085

zbMATH Keywords

binomial coefficientRiesel numberSierpinski number

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) Factorization; primality (11A51)

Cites Work

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• Sur un problème concernant les nombres \(k\cdot 2^n + 1\)
• On powers associated with Sierpiński numbers, Riesel numbers and Polignac's conjecture
• On integers of the forms \(k-2^n\) and \(k2^n+1\)
• On integers of the forms \(k^r-2^n\) and \(k^r2^n+1\).
• Nonlinear Sierpiński and Riesel numbers
• Two questions concerning covering systems

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