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A049554 Primes p such that x^22 = 2 has a solution mod p. 2
2, 7, 17, 31, 41, 47, 71, 73, 79, 97, 103, 113, 127, 137, 151, 167, 191, 193, 223, 233, 239, 241, 257, 263, 271, 281, 311, 313, 337, 359, 367, 383, 401, 409, 431, 433, 439, 449, 457, 479, 487, 503, 521, 569, 577, 593, 599, 601, 607, 631, 641, 647, 673, 719 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Complement of A059311 relative to A000040. - Vincenzo Librandi, Sep 14 2012

LINKS

R. J. Mathar, Table of n, a(n) for n = 1..1000

Index entries for related sequences

MATHEMATICA

ok[p_]:= Reduce[Mod[x^22 - 2, p] == 0, x, Integers] =!= False; Select[Prime[Range[150]], ok] (* Vincenzo Librandi, Sep 14 2012 *)

PROG

(MAGMA) [p: p in PrimesUpTo(800) | exists(t){x : x in ResidueClassRing(p) | x^22 eq 2}]; // Vincenzo Librandi, Sep 14 2012

CROSSREFS

Cf. A000040, A059311.

Sequence in context: A019357 A024920 A091313 * A019398 A086513 A166381

Adjacent sequences:  A049551 A049552 A049553 * A049555 A049556 A049557

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified September 24 10:57 EDT 2020. Contains 337317 sequences. (Running on oeis4.)