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A059315 Primes p such that x^28 = 2 has no solution mod p. 4
3, 5, 11, 13, 17, 19, 29, 37, 41, 43, 53, 59, 61, 67, 71, 83, 97, 101, 107, 109, 113, 127, 131, 137, 139, 149, 157, 163, 173, 179, 181, 193, 197, 211, 227, 229, 239, 241, 251, 269, 277, 281, 283, 293, 307, 313, 317, 331, 337, 347, 349, 373, 379, 389, 397, 401 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Coincides for the first 51 terms with sequence A059634 of primes p such that x^56 = 2 has no solution mod p (first divergence is at 353, cf. A059635 ).

Complement of A049560 relative to A000040.

LINKS

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

MATHEMATICA

ok[p_] := Reduce[Mod[x^28 - 2, p] == 0, x, Integers] == False; Select[Prime[Range[100]], ok ] (* Vincenzo Librandi, Sep 20 2012  *)

PROG

(MAGMA) [p: p in PrimesUpTo(405) | not exists{x : x in ResidueClassRing(p) | x^28 eq 2} ]; // Vincenzo Librandi, Sep 20 2012

CROSSREFS

A000040, A049560, A059634, A059635.

Sequence in context: A049233 A045402 A059634 * A045403 A059641 A014662

Adjacent sequences:  A059312 A059313 A059314 * A059316 A059317 A059318

KEYWORD

nonn,easy

AUTHOR

Klaus Brockhaus, Jan 25 2001

STATUS

approved

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Last modified June 15 04:47 EDT 2021. Contains 345043 sequences. (Running on oeis4.)