login
Odd integers n such that for every integer k>0, n*2^k+1 has a divisor in the set { 3, 5, 7, 13, 19, 37, 109 }.
4

%I #11 Jan 01 2024 01:51:33

%S 1290677,4095859,5841947,7158107,8959163,9044629,9252323,9933857,

%T 10306187,11000303,15598231,16010419,16625747,16907749,18068693,

%U 19428919,20189993,23487497,25614893,26471633,28410121,30375901,30666137,32552687

%N Odd integers n such that for every integer k>0, n*2^k+1 has a divisor in the set { 3, 5, 7, 13, 19, 37, 109 }.

%C For n > 144 a(n) = a(n-144) + 209191710, the first 144 values are in the table.

%H Pierre CAMI, <a href="/A244563/b244563.txt">Table of n, a(n) for n = 1..144</a>

%F For n > 144 a(n) = a(n-144) + 209191710.

%Y Cf. A076336, A244072, A244561, A244562.

%K nonn

%O 1,1

%A _Pierre CAMI_, Jun 30 2014