A060123 - OEIS

%I #4 Mar 30 2012 17:27:32

%S 7,32,58,100,116,179,79,181,186,270,130,394,28,34,97,94,73,288,348,

%T 407,298,231,381,125,315,458,781,385,425,928,1095,362,1186,992,1046,

%U 1053,116,542,1236,425,1129,1259,1344,1553,570,200,1328,1286,888,1433,808

%N Second solution mod p of x^3 = 2 for primes p such that more than one solution exists.

%C Solutions mod p are represented by integers from 0 to p-1. No integer occurs more than twice in this sequence (cf. comment to A060121). There are integers which do occur twice, e.g. 116, 425 (cf. A060914). Moreover, no integer occurs more than twice in A060121, A060122, A060123 and A060124 taken together.

%F a(n) = second solution mod p of x^3 = 2, where p is the n-th prime such that x^3 = 2 has more than one solution mod p, i.e. p is the n-th term of A014752.

%e a(3) = 58, since 109 is the third term of A014752 and 58 is the second solution mod 109 of x^3 = 2.

%Y Cf. A040028, A014752, A059940, A060914, A060121, A060122, A060124.

%K nonn

%O 1,1

%A _Klaus Brockhaus_, Mar 02 2001