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A206001 Least k such that k*2^m + 1 has a covering set with precisely n primes. 1

%I #34 Jan 26 2023 11:39:49

%S 271129,78557,1777613,169073869

%N Least k such that k*2^m + 1 has a covering set with precisely n primes.

%C a(10) > 2^31. a(11) = 1143502909. - _Arkadiusz Wesolowski_, Apr 29 2012

%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Covering_set">Covering set</a>

%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Sierpinski_number">Sierpinski number</a>

%e 271129 has the covering set {3, 5, 7, 13, 17, 241}.

%e 78557 has the covering set {3, 5, 7, 13, 19, 37, 73}.

%e 1777613 has the covering set {3, 5, 7, 13, 17, 19, 109, 433}.

%e 169073869 has the covering set {3, 5, 7, 11, 13, 41, 61, 151, 331}.

%Y Cf. A076336.

%K more,nonn

%O 6,1

%A _Arkadiusz Wesolowski_, Feb 10 2012

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Last modified May 21 17:21 EDT 2024. Contains 372738 sequences. (Running on oeis4.)