Not sum of 3 perfect primes greater than 1

[Giovanni Resta]

After the last posts of Zak (and Max perplexities),
and following Zak suggestion, I have computed
(up to 10^9) the numbers which are:

1) not the sum of three perfect powers greater than 1
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 15, 18, 19, 23, 30, 31,
46, 55, 87, 111, 119, 151, 167, 335, 1391, 1455, 1607, 1679, 1991,
25887, 26375

2) not the sum of three square and/or cubes greater than 1 :
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 15, 18, 19, 23, 30, 31,
46, 55, 64, 87, 91, 111, 119, 128, 130, 148, 151, 167, 263, 311, 335,
391, 407, 455, 487, 540, 559, 599, 839, 951, 967, 1159, 1231, 1287,
1303, 1391, 1455, 1463, 1607, 1660, 1679, 1751, 1863, 1991, 2279,
2351, 2615, 2799, 3247, 3719, 3983, 4327, 4367, 5199, 5655, 6047,
6159, 6351, 6599, 6663, 7367, 7495, 7503, 8087, 9519, 10823, 11535,
13415, 13559, 16391, 17135, 17887, 18599, 21727, 24655, 25887, 26375,
27103, 27887, 36959, 37471, 40079, 42503, 50063, 55327, 97231, 98447,
103543, 104159, 112055, 192471

bye,
giovanni