A059310 Primes p such that x^21 = 2 has no solution mod p.

7, 13, 19, 29, 37, 43, 61, 67, 71, 73, 79, 97, 103, 113, 127, 139, 151, 163, 181, 193, 197, 199, 211, 239, 241, 271, 281, 313, 331, 337, 349, 367, 373, 379, 409, 421, 449, 463, 487, 491, 523, 541, 547, 571, 577, 607, 613, 617, 619, 631, 659, 661, 673, 701

Offset

1,1

Comments

Complement of A049553 relative to A000040.

Links

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

Mathematica

ok[p_] := Reduce[Mod[x^21 - 2, p] == 0, x, Integers] == False; Select[Prime[Range[150]], ok] (* Vincenzo Librandi, Sep 20 2012 *)

Prog

(Magma) [p: p in PrimesUpTo(710) | not exists{x: x in ResidueClassRing(p) | x^21 eq 2}]; // Vincenzo Librandi, Sep 20 2012

Crossrefs

Cf. A000040, A049553.

Sequence in context: A096452 A258038 A059647 * A299929 A287217 A101324

Adjacent sequences: A059307 A059308 A059309 * A059311 A059312 A059313

Keyword

nonn,easy

Author

Klaus Brockhaus, Jan 25 2001

Status

approved