A040991 Primes p such that x^5 = 23 has no solution mod p.

31, 41, 61, 101, 131, 181, 191, 211, 241, 251, 281, 311, 401, 421, 431, 491, 521, 541, 571, 601, 631, 641, 661, 751, 811, 821, 881, 911, 941, 971, 991, 1021, 1031, 1051, 1061, 1091, 1151, 1171, 1181, 1201, 1231