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Search: id:A060591
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| A060591 |
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Integers i > 1 for which there is no prime p such that i is a solution mod p of x^3 = 2. |
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3
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| 113, 128, 194, 283, 333, 338, 376, 403, 430, 450, 491, 503, 548, 578, 722, 866, 875, 906, 1008, 1102, 1243, 1244, 1256, 1260, 1365, 1368, 1371, 1392, 1453, 1478, 1529, 1537, 1675, 1718, 1802, 1805, 1911, 1926, 1971, 2051, 2084, 2108, 2132, 2153, 2163
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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. The following equivalences holds for i > 1: There is a prime p such that i is a solution mod p of x^3 = 2 iff i^3-2 has a prime factor > i; i is a solution mod p of x^3 = 2 iff p is a prime factor of i^3-2 and p > i.
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FORMULA
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Integer i > 1 is a term of this sequence iff i^3-2 has no prime factor > i.
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EXAMPLE
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a(1) = 113, since there is no prime p such that 113 is a solution mod p of x^3 = 2, and for each integer i from 2 to 112 there is a prime q such that i is a solution mod q of x^3 = 2 (cf. A059940).
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CROSSREFS
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A040028, A059940.
Sequence in context: A051363 A115486 A054033 this_sequence A069488 A131648 A095617
Adjacent sequences: A060588 A060589 A060590 this_sequence A060592 A060593 A060594
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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), Apr 06 2001
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