A049562 -id:A049562

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A059334

Primes p such that x^30 = 2 has no solution mod p.

+10
2

3, 5, 7, 11, 13, 19, 29, 31, 37, 41, 43, 53, 59, 61, 67, 71, 73, 79, 83, 97, 101, 103, 107, 109, 131, 139, 149, 151, 157, 163, 173, 179, 181, 191, 193, 197, 199, 211, 227, 229, 241, 251, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331, 337, 347, 349, 367

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Complement of A049562 relative to A000040.

LINKS

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

MATHEMATICA

ok[p_] := Reduce[Mod[x^30 - 2, p] == 0, x, Integers] == False; Select[Prime[Range[80]], ok ] (* Vincenzo Librandi, Sep 20 2012 *)

PROG

(Magma) [p: p in PrimesUpTo(400) | not exists{x : x in ResidueClassRing(p) | x^30 eq 2} ]; // Vincenzo Librandi, Sep 20 2012

CROSSREFS

A000040, A049562.

KEYWORD

nonn,easy

AUTHOR

Klaus Brockhaus, Jan 26 2001

STATUS

approved

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