cp's OEIS Frontend

A244351 Integers n such that for every integer k>0, n*6^k-1 has a divisor in the set { 7, 13, 31, 37, 97 }.

%I A244351 #21 Jul 13 2014 10:09:53
%S A244351 84687,429127,508122,1273238,1570311,1656045,2574762,2847748,3048732,
%T A244351 3345805,3849481,5076399,5324003,5338292,5908351,6961919,7639428,
%U A244351 8167823,8508662,8994775,9078721,9421866,9936270,9950261
%N A244351 Integers n such that for every integer k>0, n*6^k-1 has a divisor in the set { 7, 13, 31, 37, 97 }.
%C A244351 For n > 24 a(n) = a(n-24) + 10124569, the first 24 values are in the data.
%C A244351 When the number a(n) has 1 or 6 as the last digit the number  a(n)*6^k-1 is always divisible by 5 and have always a divisor in the set { 7, 13, 31, 37, 97 } for every  k.
%F A244351 For n>24 a(n) = a(n-24) + 10124569.
%Y A244351 Cf. A076337, A243969, A244070, A244071, A244072, A244073, A244074, A244076, A244211.
%K A244351 nonn
%O A244351 1,1
%A A244351 _Pierre CAMI_, Jun 26 2014