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A049592 Primes p such that x^60 = 2 has a solution mod p. 2
2, 23, 47, 89, 113, 127, 167, 223, 233, 239, 257, 263, 353, 359, 383, 431, 439, 479, 503, 593, 599, 617, 647, 719, 727, 743, 839, 863, 887, 911, 919, 983, 1049, 1097, 1103, 1193, 1217, 1223, 1289, 1319, 1327, 1367, 1399, 1423, 1433, 1439, 1487, 1553 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Complement of A059645 relative to A000040. - Vincenzo Librandi, Sep 15 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^60 - 2, p] == 0, x, Integers] =!= False; Select[Prime[Range[250]], ok] (* Vincenzo Librandi, Sep 15 2012 *)

PROG

(MAGMA) [p: p in PrimesUpTo(1600) | exists(t){x : x in ResidueClassRing(p) | x^60 eq 2}]; // Vincenzo Librandi, Sep 15 2012

(PARI)

N=10^4;  default(primelimit, N);

ok(p, r, k)={ return ( (p==r) || (Mod(r, p)^((p-1)/gcd(k, p-1))==1) ); }

forprime(p=2, N, if (ok(p, 2, 60), print1(p, ", ")));

/* Joerg Arndt, Sep 21 2012 */

CROSSREFS

Cf. A000040, A059645.

Sequence in context: A002428 A105440 A139831 * A054679 A057621 A074809

Adjacent sequences:  A049589 A049590 A049591 * A049593 A049594 A049595

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified February 19 10:54 EST 2019. Contains 320310 sequences. (Running on oeis4.)