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A058999 Primes p such that x^17 = 2 has no solution mod p. 2
103, 137, 239, 307, 409, 443, 613, 647, 919, 953, 1021, 1123, 1259, 1327, 1361, 1531, 1667, 1871, 1973, 2143, 2347, 2381, 2551, 2789, 2857, 3061, 3163, 3299, 3469, 3571, 3673, 3877, 3911, 4013, 4217, 4421, 4591, 4931, 4999, 5101, 5237, 5407, 5441, 5849 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Complement of A049549 relative to A000040.

LINKS

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

MATHEMATICA

ok[p_]:= Reduce[Mod[x^17 - 2, p] == 0, x, Integers] == False; Select[Prime[Range[1000]], ok] (* Vincenzo Librandi, Sep 19 2012  *)

PROG

(MAGMA) [p: p in PrimesUpTo(6000) | not exists{x : x in ResidueClassRing(p) | x^17 eq 2} ]; // Vincenzo Librandi, Sep 19 2012

CROSSREFS

Sequence in context: A023080 A219785 A129484 * A046077 A127027 A033256

Adjacent sequences:  A058996 A058997 A058998 * A059000 A059001 A059002

KEYWORD

easy,nonn

AUTHOR

Klaus Brockhaus, Jan 17 2001

STATUS

approved

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Last modified June 6 14:04 EDT 2020. Contains 334827 sequences. (Running on oeis4.)