A030692 Smallest nontrivial extension of n-th cube which is a prime.

11, 83, 271, 641, 1259, 2161, 3433, 51217, 7297, 10007, 13313, 172829, 21977, 27449, 33751, 40961, 49139, 58321, 68597, 800011, 926111, 106487, 1216711, 138241, 156253, 1757617, 196831, 219523, 2438911, 270001, 297911, 327689