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Sierpiński numbers that have at least two covering sets.
1

%I #15 Jan 10 2018 03:24:16

%S 12151397,31210219,45181667,56191673,66887071,68468753,69169397,

%T 71307347,114921271,122311103,133228283,152252267,154337567,182479909,

%U 185282537,192413177,210465533,220192013,226521259,235663343,236281883,253282909,275248343,282777829

%N Sierpiński numbers that have at least two covering sets.

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

%e For every k >= 1, 12151397*2^k + 1 has a divisor in the set {3, 5, 7, 13, 19, 37, 73} and also in the set {3, 5, 7, 13, 19, 73, 109}. 12151397 is therefore in the sequence.

%Y Cf. A076336, A263392.

%K nonn

%O 1,1

%A _Arkadiusz Wesolowski_, Oct 16 2015

%E 2 terms inserted by _Arkadiusz Wesolowski_, Aug 28 2016

%E More terms from _Arkadiusz Wesolowski_, Jan 09 2018