A055036 - OEIS

%I #13 Dec 12 2021 19:45:16

%S 104,125,195,415,2743,2935,3535,19735,22645,108703,977353,1921033,

%T 2523433,2425175,4227575,85969345,32606935,224917033,1362833713,

%U 716210677,1557843865,6226853857,20369543065

%N Min[x] composite zero site for sigma(x+6^n) - sigma(x) - 6^n.

%F a(n) = Min(x) solution for A000203(x+A000400(n)) = A000203(x) + A000400(n) Diophantine equation.

%e n = 6: d = 6^6 = 46656, a(n) = a(6) = 2935 because sigma(2935) + 46656 = 1 + 5 + 587 + 2935 + 46656 = sigma(2935 + 46656) = sigma(49591) = 1 + 101 + 491 + 49591 = 50184.

%t L = {}; Do[i = 1; While[ ! ((Plus @@ Divisors[i + 6^j] == 6^j + Plus @@ Divisors[i]) && ! PrimeQ[i]), i++ ]; L = Append[L, i], {j, 1, 11}]; L (from Vit Planocka)

%Y Subsequence of A054904.

%Y Cf. A054902-A054905, A054799, A054982-A054985, A054987, A055009, A015913-A015518.

%K nonn,more

%O 1,1

%A _Labos Elemer_, Jun 01 2000

%E One more term from Vit Planocka (planocka(AT)mistral.cz), Sep 23 2003

%E a(12)-a(23) from _Donovan Johnson_, Nov 30 2008