A049576 Primes p such that x^44 = 2 has a solution mod p.

2, 7, 31, 47, 71, 73, 79, 103, 113, 127, 151, 167, 191, 223, 233, 239, 257, 263, 271, 281, 311, 337, 359, 367, 383, 431, 439, 479, 487, 503, 577, 593, 599, 601, 607, 631, 647, 719, 743, 751, 823, 839, 863, 887, 911, 919, 937, 967, 983, 1031, 1033, 1039

Offset

1,1

Comments

Complement of A059636 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^44 - 2, p] == 0, x, Integers] =!= False; Select[Prime[Range[300]], ok] (* Vincenzo Librandi, Sep 14 2012 *)

Prog

(Magma) [p: p in PrimesUpTo(1100) | exists(t){x : x in ResidueClassRing(p) | x^44 eq 2}]; // Vincenzo Librandi, Sep 14 2012
(PARI)
N=10^4;  default(primelimit, N);
ok(p, r, k)={ return (  Mod(r, p)^((p-1)/gcd(k, p-1)) == 1 ); }
forprime(p=2, N, if (ok(p, 2, 44), print1(p, ", ")));
/* Joerg Arndt, Sep 21 2012 */

Crossrefs

Cf. A000040, A059636.

Sequence in context: A193353 A102158 A191073 * A298169 A213721 A102162

Adjacent sequences: A049573 A049574 A049575 * A049577 A049578 A049579

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved