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A345685 a(n) is the smallest cardinality of all covering sets associated with Riesel number A101036(n).

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%I A345685 #8 Jul 01 2021 15:51:02
%S A345685 6,6,7,7,6,7,6,6,6,6,7,6,6,7,7,6
%N A345685 a(n) is the smallest cardinality of all covering sets associated with Riesel number A101036(n).
%C A345685 The condition for choosing a covering set is necessary as there are Riesel numbers with more than one covering set, see A263392.
%H A345685 Prime Wiki, <a href="https://www.rieselprime.de/ziki/Category:Riesel_k%3DRiesel">Category:Riesel k=Riesel</a> [Links to pages giving the covering sets of Riesel numbers]
%H A345685 Wikipedia, <a href="https://en.wikipedia.org/wiki/Riesel_number">Riesel number</a>
%e A345685    n | Riesel number | Covering set               | a(n)
%e A345685 --------------------------------------------------------
%e A345685    1 |  509203       | {3, 5, 7, 13, 17, 241}     | 6
%e A345685    2 |  762701       | {3, 5, 7, 13, 17, 241}     | 6
%e A345685    3 |  777149       | {3, 5, 7, 13, 19, 37, 73}  | 7
%e A345685    4 |  790841       | {3, 5, 7, 13, 19, 37, 73}  | 7
%e A345685    5 |  992077       | {3, 5, 7, 13, 17, 241}     | 6
%e A345685    6 | 1106681       | {3, 5, 7, 13, 19, 37, 73}  | 7
%e A345685    7 | 1247173       | {3, 5, 7, 13, 17, 241}     | 6
%e A345685    8 | 1254341       | {3, 5, 7, 13, 17, 241}     | 6
%e A345685    9 | 1330207       | {3, 5, 7, 13, 17, 241}     | 6
%e A345685   10 | 1330319       | {3, 5, 7, 13, 17, 241}     | 6
%e A345685   11 | 1715053       | {3, 5, 7, 13, 19, 37, 73}  | 7
%e A345685   12 | 1730653       | {3, 5, 7, 13, 17, 241}     | 6
%e A345685   13 | 1730681       | {3, 5, 7, 13, 17, 241}     | 6
%e A345685   14 | 1744117       | {3, 5, 7, 13, 19, 73, 109} | 7
%e A345685   15 | 1830187       | {3, 5, 7, 13, 37, 73, 109} | 7
%e A345685   16 | 1976473       | {3, 5, 7, 13, 17, 241}     | 6
%Y A345685 Cf. A101036, A244070, A244071, A244072, A244073, A244074, A263392.
%K A345685 nonn,hard,more
%O A345685 1,1
%A A345685 _Felix Fröhlich_, Jun 23 2021