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A059666 Primes p such that x^54 = 2 has no solution mod p, but x^18 = 2 has a solution mod p. 3
3943, 11287, 20143, 23599, 25759, 26407, 29863, 32833, 33751, 38287, 39367, 39799, 46441, 47737, 47791, 59887, 62047, 63127, 68311, 73063, 79273, 82351, 84457, 84673, 88129, 90289, 91639, 93529, 94447, 101089, 104761, 107839, 140617, 144073, 146449, 150607 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..49

MATHEMATICA

Select[Prime[Range[PrimePi[200000]]], !MemberQ[PowerMod[Range[#], 54, #], Mod[2, #]] && MemberQ[PowerMod[Range[#], 18, #], Mod[2, #]]&] (* Vincenzo Librandi, Sep 21 2013 *)

PROG

(MAGMA) [p: p in PrimesUpTo(40000) | not exists{x: x in ResidueClassRing(p) | x^54 eq 2} and exists{x: x in ResidueClassRing(p) | x^18 eq 2}]; // Vincenzo Librandi, Sep 21 2012

CROSSREFS

A000040, A049550, A040993.

Sequence in context: A346135 A070185 A059354 * A230707 A230617 A250531

Adjacent sequences:  A059663 A059664 A059665 * A059667 A059668 A059669

KEYWORD

nonn,easy

AUTHOR

Klaus Brockhaus, Feb 05 2001

EXTENSIONS

More terms from Vincenzo Librandi, Sep 21 2013

STATUS

approved

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Last modified December 5 23:38 EST 2021. Contains 349558 sequences. (Running on oeis4.)