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 A049576 Primes p such that x^44 = 2 has a solution mod p. 2
 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 (list; graph; refs; listen; history; text; internal format)
 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 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 * A213721 A102162 A059846 Adjacent sequences:  A049573 A049574 A049575 * A049577 A049578 A049579 KEYWORD nonn,easy AUTHOR STATUS approved

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