Brier Number

A Brier number is a number that is both a Riesel number and a Sierpiński number of the second kind, i.e., a number n such that for all k>=1, the numbers n·2^k+1 and n·2^k-1 are composite. The first few are 878503122374924101526292469, 3872639446526560168555701047, 623506356601958507977841221247, ... (OEIS A076335).

See also

Riesel Number, Sierpiński Number of the Second Kind

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References

Gallot, Y. "A Search for Some Small Brier Numbers." https://web.archive.org/web/20050401013816/http://perso.wanadoo.fr:80/yves.gallot/papers/smallbrier.html.McLean, J. "Brier Numbers." https://web.archive.org/web/20010711203634/http://www.glasgowg43.freeserve.co.uk:80/brier2.htm.Rivera, C. "Problems & Puzzles: Problem 029.-Brier Numbers." https://www.primepuzzles.net/problems/prob_029.htm.Sloane, N. J. A. Sequence A076335 in "The On-Line Encyclopedia of Integer Sequences."

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Weisstein, Eric W. "Brier Number." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/BrierNumber.html

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