A030685 Smallest nontrivial extension of n-th square which is a prime.

11, 41, 97, 163, 251, 367, 491, 641, 811, 1009, 1213, 1447, 1693, 19661, 2251, 25621, 2897, 32411, 3613, 4001, 44111, 48413, 5297, 57637, 6257, 6761, 7297, 7841, 8419, 9001, 9613, 10243, 10891, 115613, 12251, 12967, 13691, 14447