A258095 - OEIS

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A258095

Numbers m, such that the smallest prime factor of 1+78557*2^m doesn't belong to the covering set {3, 5, 7, 13, 19, 37, 73}.

39, 183, 219, 1047, 1227, 1299, 1875, 2271, 2559, 2703, 3315, 3531, 3819, 4359, 5079, 5187, 5403, 6015, 6339, 6447, 6843, 7491, 7599, 7671, 8499, 8535, 8859, 9327, 9579, 10119, 10155, 10623, 10983, 11379, 11667, 11811, 12639, 12711, 13467, 13755, 13899

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OFFSET

1,1

COMMENTS

A258091(a(n)) < 73, as each term in A258073 has at least one prime factor in the covering set.

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 1..250

Wikipedia, Sierpinski Number

Wikipedia, Covering set

EXAMPLE

a(1) = 39; A258073(39) = 43187167471599617 = 71 * 73 * 211 * 39490356709, and 71 is not an element of the covering set.

PROG