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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
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
Sequence in context: A306797 A213529 A187714 * A071759 A364363 A215876
KEYWORD
nonn
AUTHOR
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.)