On powers associated with Sierpiński numbers, Riesel numbers and Polignac's conjecture
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Publication:958700
DOI10.1016/j.jnt.2008.02.004zbMath1221.11003OpenAlexW2153972306WikidataQ123114511 ScholiaQ123114511MaRDI QIDQ958700
Mark Kozek, Carrie Finch, Michael Filaseta
Publication date: 8 December 2008
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jnt.2008.02.004
Congruences; primitive roots; residue systems (11A07) Arithmetic progressions (11B25) Factorization; primality (11A51)
Related Items (18)
On a problem of Romanoff type ⋮ On binomial coefficients associated with Sierpi\'{n}ski and Riesel numbers ⋮ Covering systems with odd moduli ⋮ EIGHT CONSECUTIVE POSITIVE ODD NUMBERS NONE OF WHICH CAN BE EXPRESSED AS A SUM OF TWO PRIME POWERS ⋮ Primefree shifted Lucas sequences ⋮ Nonlinear Sierpiński and Riesel numbers ⋮ Composite values of shifted exponentials ⋮ Generalized Sierpiński numbers ⋮ On Cullen numbers which are both Riesel and Sierpiński numbers ⋮ On perfect and near-perfect numbers ⋮ Unnamed Item ⋮ Chen's conjecture and its generalization ⋮ Unnamed Item ⋮ Iterated Riesel and Iterated Sierpiński Numbers ⋮ Perfect power Riesel numbers ⋮ On the density of integers of the form \(2^k + p\) in arithmetic progressions ⋮ Covers of the integers with odd moduli and their applications to the forms $x^{m}-2^{n}$ and $x^{2}-F_{3n}/2$ ⋮ Covering subsets of the integers by congruences
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- On the Equations zm = F (x, y ) and Axp + Byq = Czr
- Unsolved problems in number theory
- Factorizations of 𝑏ⁿ±1, 𝑏=2, 3, 5, 6, 7, 10, 11, 12 Up to High Powers
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