A060123 - OEIS

A060123

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

7, 32, 58, 100, 116, 179, 79, 181, 186, 270, 130, 394, 28, 34, 97, 94, 73, 288, 348, 407, 298, 231, 381, 125, 315, 458, 781, 385, 425, 928, 1095, 362, 1186, 992, 1046, 1053, 116, 542, 1236, 425, 1129, 1259, 1344, 1553, 570, 200, 1328, 1286, 888, 1433, 808

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OFFSET

1,1

COMMENTS

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.

LINKS

Table of n, a(n) for n=1..51.

FORMULA

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.

EXAMPLE

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

CROSSREFS

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

Sequence in context: A029484 A153716 A153715 * A013650 A013656 A067982

Adjacent sequences: A060120 A060121 A060122 * A060124 A060125 A060126

KEYWORD

nonn

AUTHOR

Klaus Brockhaus, Mar 02 2001

STATUS

approved