A040045 Primes p such that x^3 = 5 has no solution mod p.

7, 19, 31, 37, 43, 61, 73, 79, 97, 103, 109, 139, 151, 157, 193, 223, 229, 271, 277, 283, 307, 331, 349, 373, 397, 421, 433, 439, 463, 499, 523, 541, 547, 571, 577, 601, 607, 613, 619, 661, 673, 709, 727, 751