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A040054 Primes p such that x^3 = 10 has a solution mod p. 2
2, 3, 5, 11, 17, 23, 29, 37, 41, 47, 53, 59, 71, 73, 79, 83, 89, 101, 103, 107, 113, 127, 131, 137, 139, 149, 167, 173, 179, 191, 197, 227, 233, 239, 251, 257, 263, 269, 271, 281, 293, 311, 317, 331, 347, 349, 353 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Complement of A040058 relative to A000040. - Vincenzo Librandi, Sep 13 2012

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

MATHEMATICA

ok [p_]:=Reduce[Mod[x^3 - 10, p] == 0, x, Integers] =!= False;  Select[Prime[Range[180]], ok] (* Vincenzo Librandi, Sep 11 2012 *)

PROG

(MAGMA) [p: p in PrimesUpTo(450) | exists(t){x : x in ResidueClassRing(p) | x^3 eq 10}]; // Vincenzo Librandi, Sep 11 2012

CROSSREFS

Cf. A000040, A040058.

Sequence in context: A049596 A049571 A098058 * A093503 A040036 A040078

Adjacent sequences:  A040051 A040052 A040053 * A040055 A040056 A040057

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified May 18 09:19 EDT 2013. Contains 225419 sequences.