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A049568
Primes p such that x^36 = 2 has a solution mod p.
5
2, 23, 31, 47, 71, 89, 113, 127, 167, 191, 223, 233, 239, 257, 263, 281, 311, 353, 359, 383, 431, 439, 479, 503, 593, 599, 601, 617, 647, 719, 727, 743, 839, 863, 881, 887, 911, 983, 1031, 1049, 1097, 1103, 1151, 1193, 1217, 1223, 1289, 1319, 1327, 1367
OFFSET
1,1
MATHEMATICA
ok[p_]:= Reduce[Mod[x^36 - 2, p] == 0, x, Integers] =!= False; Select[Prime[Range[300]], ok] (* Vincenzo Librandi, Sep 14 2012 *)
PROG
(Magma) [p: p in PrimesUpTo(1500) | exists(t){x : x in ResidueClassRing(p) | x^36 eq 2}]; // Vincenzo Librandi, Sep 14 2012
CROSSREFS
Cf. A000040.
Sequence in context: A065987 A107153 A049544 * A049556 A049580 A373780
KEYWORD
nonn,easy
STATUS
approved