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A059668 Primes p such that x^36 = 2 has no solution mod p, but x^12 = 2 has a solution mod p. 4
919, 1423, 1999, 2143, 2287, 2791, 4177, 4519, 4663, 5113, 5167, 6679, 6967, 8713, 9631, 9649, 9721, 11863, 12241, 12583, 12799, 13591, 16111, 17551, 18127, 20359, 20719, 21529, 21727, 21799, 22807, 23041, 23473, 23743, 23833, 23887, 23977 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
MATHEMATICA
Select[Prime[Range[PrimePi[30000]]], ! MemberQ[PowerMod[Range[#], 36, #], Mod[2, #]]&& MemberQ[PowerMod[Range[#], 12, #], Mod[2, #]] &] (* Vincenzo Librandi, Sep 22 2013 *)
PROG
(Magma) [p: p in PrimesUpTo(24000) | not exists{x: x in ResidueClassRing(p) | x^36 eq 2} and exists{x: x in ResidueClassRing(p) | x^12 eq 2}]; // Vincenzo Librandi, Sep 21 2012
CROSSREFS
Sequence in context: A088284 A020399 A084843 * A162870 A251133 A083142
KEYWORD
nonn,easy
AUTHOR
Klaus Brockhaus, Feb 04 2001
STATUS
approved

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Last modified June 22 23:47 EDT 2024. Contains 373629 sequences. (Running on oeis4.)