A060124 - OEIS

A060124

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

20, 34, 103, 122, 136, 199, 98, 221, 260, 292, 214, 400, 398, 409, 392, 453, 509, 309, 370, 720, 412, 557, 513, 758, 547, 462, 888, 502, 724, 978, 1123, 935, 1212, 1457, 1501, 1402, 1492, 1100, 1501, 1110, 1307, 1734, 1400, 1777, 835, 1680, 1555, 1868

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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. 1501 (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..48.

FORMULA

a(n) = third 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) = 103, since 109 is the third term of A014752 and 103 is the third solution mod 109 of x^3 = 2.

CROSSREFS

Cf. A040028, A014752, A059940, A060914, A060121, A060122, A060123.

Sequence in context: A043166 A043946 A160937 * A068476 A003895 A157426

Adjacent sequences: A060121 A060122 A060123 * A060125 A060126 A060127

KEYWORD

nonn

AUTHOR

Klaus Brockhaus, Mar 02 2001

STATUS

approved