A040096 Primes p such that x^3 = 23 has no solution mod p.

7, 13, 19, 43, 67, 73, 79, 97, 127, 151, 181, 199, 223, 229, 277, 283, 307, 331, 337, 349, 367, 397, 409, 421, 433, 439, 457, 487, 499, 523, 541, 547, 577, 601, 607, 619, 631, 643, 661, 691, 709, 733, 739, 751