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 A263347 Odd numbers n such that for every k >= 1, n*2^k + 1 has a divisor in the set {3, 5, 13, 17, 97, 241, 257}. 3
 37158601, 1017439067, 1242117623, 1554424697, 1905955429, 2727763433, 4512543497, 4798554619, 4954643117, 4988327659, 5367644183, 5660978867, 6107173883, 7173264623, 7425967459, 8365215091, 8776906457, 9013226179, 9095014883, 9787717801, 10466795551 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Cohen and Selfridge showed that this sequence contains infinitely many numbers that are both Sierpiński and Riesel. What is the smallest term of this sequence that belongs to A076335? Is it the smallest Brier number? This sequence contains only numbers of the form 30*k + 1, 30*k + 17, 30*k + 19, and 30*k + 23. LINKS Arkadiusz Wesolowski, Table of n, a(n) for n = 1..96 Chris Caldwell, The Prime Glossary, Sierpinski number Fred Cohen and J. L. Selfridge, Not every number is the sum or difference of two prime powers, Math. Comput. 29 (1975), pp. 79-81. Carlos Rivera, Problem 29 and Problem 58 Index entries for linear recurrences with constant coefficients, signature (1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1). FORMULA a(n) = a(n-96) + 39832304070 for n > 96. CROSSREFS Cf. A076335, A263561. Subsequence of A076336. A263560 gives the primes. Sequence in context: A028965 A273508 A340713 * A263560 A215130 A286037 Adjacent sequences: A263344 A263345 A263346 * A263348 A263349 A263350 KEYWORD nonn AUTHOR Arkadiusz Wesolowski, Oct 15 2015 STATUS approved

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Last modified February 3 17:00 EST 2023. Contains 360044 sequences. (Running on oeis4.)