On Powers Associated with Sierpiński Numbers, Riesel Numbers and Polignac's Conjecture

Filaseta, M., Finch, C., & Kozek, M. (2008). On Powers Associated with Sierpiński Numbers, Riesel Numbers and Polignac's Conjecture. Journal of Number Theory, 1916-1940.

Type

Journal article

Intellectual base

Primary research

Year

2008

DOI

10.1016/j.jnt.2008.02.004

Link

https://doi.org/10.1016/j.jnt.2008.02.004

Cited by

1 citation across 1 artifact.

Each citation links to the sentence it supports in the citing article.

Domain-specific

• Covering Set
  • Each prime therefore covers one or more residue classes of term indices, and the union of those index classes must cover every index in scope.

    This sourceVerified 2026-08-26. Gives the definition of a covering system, reconstructs Sierpiński's construction, records Selfridge's exact seven congruence implications for 78557, and develops further covering-based families and boundaries.

Verification

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Links previously used in the corpus

Before the registry existed this work was also linked 1 other way.

• https://people.math.sc.edu/filaseta/papers/SierpinskiEtCoPapNew.pdf ×1

Registry ID ref:510cb3269cc7 · see in the full table