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A059244 Primes p such that x^19 = 2 has no solution mod p. 2
191, 229, 419, 457, 571, 647, 761, 1217, 1483, 1559, 1597, 1787, 1901, 2053, 2129, 2243, 2281, 2357, 2699, 2851, 2927, 3041, 3079, 3307, 3877, 4219, 4409, 4447, 4523, 4561, 4637, 4751, 4789, 4903, 5701, 6271, 6689, 6803, 6841, 6917, 7069, 7297, 7411 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Complement of A049551 relative to A000040.

LINKS

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

MATHEMATICA

ok[p_]:= Reduce[Mod[x^19 - 2, p] == 0, x, Integers] == False; Select[Prime[Range[4000]], ok] (* Vincenzo Librandi, Sep 20 2012  *)

PROG

(MAGMA) [p: p in PrimesUpTo(7500) | not exists{x : x in ResidueClassRing(p) | x^19 eq 2} ]; // Vincenzo Librandi, Sep 20 2012

CROSSREFS

Cf. A000040, A049551.

Sequence in context: A139650 A139977 A141868 * A136068 A045141 A046010

Adjacent sequences:  A059241 A059242 A059243 * A059245 A059246 A059247

KEYWORD

easy,nonn

AUTHOR

Klaus Brockhaus, Jan 21 2001

STATUS

approved

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Last modified July 21 22:02 EDT 2019. Contains 325210 sequences. (Running on oeis4.)