A111245 Perfect powers m^k, where m is an integer, which are not equal to the sum of m distinct primes.

1, 4, 9, 25, 36, 49, 100, 121, 144, 169, 196, 225, 289, 324, 361, 400, 441, 484, 529, 576, 676, 784, 841, 900, 1089, 1156, 1225, 1369, 1444, 1521, 1600, 1681, 1764, 1849