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A059308 Primes p such that x^15 = 2 has no solution mod p. 2
7, 11, 13, 19, 31, 37, 41, 61, 67, 71, 73, 79, 97, 101, 103, 131, 139, 151, 163, 181, 191, 193, 199, 211, 241, 271, 281, 311, 313, 331, 337, 349, 367, 373, 379, 401, 409, 421, 461, 463, 487, 491, 521, 523, 541, 547, 571, 577, 601, 607, 613, 619, 631, 661, 673 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Complement of A049547 relative to A000040.

LINKS

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

MATHEMATICA

ok[p_] := Reduce[Mod[x^15 - 2, p] == 0, x, Integers] == False; Select[Prime[Range[150]], ok] (* Vincenzo Librandi, Sep 20 2012 *)

PROG

(MAGMA) [p: p in PrimesUpTo(700) | not exists{x: x in ResidueClassRing(p) | x^15 eq 2}]; // Vincenzo Librandi, Sep 20 2012

CROSSREFS

Cf. A000040, A049547.

Sequence in context: A227921 A176620 A059637 * A075521 A084444 A081091

Adjacent sequences:  A059305 A059306 A059307 * A059309 A059310 A059311

KEYWORD

nonn,easy

AUTHOR

Klaus Brockhaus, Jan 25 2001

STATUS

approved

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Last modified September 19 08:05 EDT 2021. Contains 347556 sequences. (Running on oeis4.)