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A059354 Primes p such that x^27 = 2 has no solution mod p, but x^9 = 2 has a solution mod p. 3
3943, 11287, 12853, 14149, 17659, 20143, 21061, 21277, 23059, 23599, 25759, 26407, 26731, 29863, 32833, 33751, 35803, 37747, 38287, 39367, 39799, 46441, 47737, 47791, 57781, 59887, 61291, 62047, 63127, 65557, 68311, 71443, 73063, 78301 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
MATHEMATICA
Select[Prime[Range[PrimePi[80000]]], !MemberQ[PowerMod[Range[#], 27, #], Mod[2, #]] && MemberQ[PowerMod[Range[#], 9, #], Mod[2, #]] &] (* Vincenzo Librandi, Sep 21 2013 *)
PROG
(Magma) [ p: p in PrimesUpTo(80000) | exists(t){x: x in ResidueClassRing(p) | x^9 eq 2} and forall(t){x : x in ResidueClassRing(p) | x^27 ne 2} ]; // Klaus Brockhaus, Dec 05 2008
CROSSREFS
Sequence in context: A115929 A346135 A070185 * A059666 A230707 A230617
KEYWORD
nonn
AUTHOR
Klaus Brockhaus, Jan 27 2001
EXTENSIONS
a(25)-a(34) from Klaus Brockhaus, Dec 05 2008
STATUS
approved

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Last modified February 21 12:33 EST 2024. Contains 370235 sequences. (Running on oeis4.)