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Search: id:A060123
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| A060123 |
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Second solution mod p of x^3 = 2 for primes p such that more than one solution exists. |
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+0
6
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| 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
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1,1
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COMMENT
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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.
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FORMULA
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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.
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EXAMPLE
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a(3) = 58, since 109 is the third term of A014752 and 58 is the second solution mod 109 of x^3 = 2.
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CROSSREFS
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Cf. A040028, A014752, A059940, A060914, A060121, A060122, A060124.
Sequence in context: A029484 A153716 A153715 this_sequence A013650 A013656 A067982
Adjacent sequences: A060120 A060121 A060122 this_sequence A060124 A060125 A060126
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KEYWORD
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nonn
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AUTHOR
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Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Mar 02 2001
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