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%I #32 Aug 31 2023 10:03:26
%S 7592506760633776533,36293948155,157957457,603713,422590909,78557,
%T 6134663,1259779,575041,7892569,2931991,4095859,2541601,7892569,
%U 29169451,271577,35193889,12824269,603713,9454157,575041,7696009,5455789,41561687,7400371,2191531,29046541,2931991
%N Smallest Sierpinski number that is divisible by the n-th prime.
%C For an odd prime p and odd k, if p divides k, then p does not divide k*2^n + 1 for any n.
%H Arkadiusz Wesolowski, <a href="/A222534/b222534.txt">Table of n, a(n) for n = 2..1000</a>
%H Chris Caldwell, <a href="https://t5k.org/glossary/xpage/SierpinskiNumber.html">The Prime Glossary: Sierpinski number</a>
%H Carlos Rivera, <a href="https://primepuzzles.net/problems/prob_086.htm">Problem 86. A smaller Sierpinski integer divided by 3</a>, The Prime Puzzles & Problems Connection.
%e 603713 is first Sierpinski number that is divisible by 11, the 5th prime - so a(5) = 603713.
%Y Cf. A076336, A187716, A213529, A364413.
%K nonn
%O 2,1
%A _Arkadiusz Wesolowski_, Feb 24 2013
%E Offset changed and initial term added by _Arkadiusz Wesolowski_, May 11 2017
%E a(2) corrected by _Arkadiusz Wesolowski_, Jul 27 2023
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