A385714 - cp's OEIS frontend

A385714 a(n) is the smallest positive integer k such that the Diophantine equation x^3 + y^3 + z^3 = k^n, where 0 < x < y < z has an integer solution, or -1 if no such integer exists.

n	a(n)
1	36
2	6
3	6
4	11
5	6
6	3
7	6
8	6
9	3
10	6
11	6
12	3
13	6
14	6
15	3
16	6
17	6
18	3
19	6
20	6
21	3
22	6
23	3
24	2
25	6
26	3
27	2
28	6
29	3
30	2
31	6
32	3
33	2
34	6
35	3
36	2

[36, 6, 6, 11, 6, 3, 6, 6, 3, 6, 6, 3, 6, 6, 3, 6, 6, 3, 6, 6, 3, 6, 3, 2, 6, 3, 2, 6, 3, 2, 6, 3, 2, 6, 3, 2]