id:A060591 - OEIS Search Results

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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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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 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`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.`
	FORMULA	`Integer i > 1 is a term of this sequence iff i^3-2 has no prime factor > i.`
	EXAMPLE	`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).`
	CROSSREFS	`A040028, A059940.` `Sequence in context: A054033 A167843 A159466 this_sequence A069488 A131648 A163760` `Adjacent sequences: A060588 A060589 A060590 this_sequence A060592 A060593 A060594`
	KEYWORD	`nonn`
	AUTHOR	`Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Apr 06 2001`

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Last modified March 19 13:18 EDT 2010. Contains 173632 sequences.

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