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 A222534 Smallest Sierpinski number that is divisible by the n-th prime. 3
 7592506760633776533, 36293948155, 157957457, 603713, 422590909, 78557, 6134663, 1259779, 575041, 7892569, 2931991, 4095859, 2541601, 7892569, 29169451, 271577, 35193889, 12824269, 603713, 9454157, 575041, 7696009, 5455789, 41561687, 7400371, 2191531, 29046541, 2931991 (list; graph; refs; listen; history; text; internal format)
 OFFSET 2,1 COMMENTS For an odd prime p and odd k, if p divides k, then p does not divide k*2^n + 1 for any n. LINKS Arkadiusz Wesolowski, Table of n, a(n) for n = 2..1000 Chris Caldwell, The Prime Glossary: Sierpinski number Carlos Rivera, Problem 86. A smaller Sierpinski integer divided by 3, The Prime Puzzles & Problems Connection. EXAMPLE 603713 is first Sierpinski number that is divisible by 11, the 5th prime - so a(5) = 603713. CROSSREFS Cf. A076336, A187716, A213529, A364413. Sequence in context: A306797 A213529 A187714 * A071759 A364363 A215876 Adjacent sequences: A222531 A222532 A222533 * A222535 A222536 A222537 KEYWORD nonn AUTHOR Arkadiusz Wesolowski, Feb 24 2013 EXTENSIONS Offset changed and initial term added by Arkadiusz Wesolowski, May 11 2017 a(2) corrected by Arkadiusz Wesolowski, Jul 27 2023 STATUS approved

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Last modified July 17 12:04 EDT 2024. Contains 374377 sequences. (Running on oeis4.)