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A060591 Integers i > 1 for which there is no prime p such that i is a solution mod p of x^3 = 2. 2
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; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

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.

LINKS

Table of n, a(n) for n=1..45.

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: A167843 A159466 A284598 * A214847 A069488 A131648

Adjacent sequences:  A060588 A060589 A060590 * A060592 A060593 A060594

KEYWORD

nonn

AUTHOR

Klaus Brockhaus, Apr 06 2001

STATUS

approved

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Last modified October 24 11:22 EDT 2021. Contains 348225 sequences. (Running on oeis4.)