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A059669 Primes p such that x^48 = 2 has no solution mod p, but x^24 = 2 has a solution mod p. 2
1217, 1553, 1777, 2833, 4049, 4481, 5297, 6449, 6689, 7121, 8081, 8609, 9137, 9281, 9649, 10337, 10433, 11329, 11633, 12241, 13121, 14321, 14753, 15569, 16433, 16673, 18257, 19793, 23057, 25169, 25889, 26177, 26561, 26993, 27281, 28001, 29153, 29201 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..188

MATHEMATICA

Select[Prime[Range[PrimePi[30000]]], ! MemberQ[PowerMod[Range[#], 48, #], Mod[2, #]] && MemberQ[PowerMod[Range[#], 24, #], Mod[2, #]] &] (* Vincenzo Librandi, Sep 22 2013 *)

PROG

(MAGMA) [p: p in PrimesUpTo(30000) | not exists{x: x in ResidueClassRing(p) | x^48 eq 2} and exists{x: x in ResidueClassRing(p) | x^24 eq 2}]; // Vincenzo Librandi, Sep 21 2012

CROSSREFS

Cf. A000040, A049556, A059362, A049580.

Sequence in context: A321062 A059287 A225759 * A032628 A175964 A300408

Adjacent sequences:  A059666 A059667 A059668 * A059670 A059671 A059672

KEYWORD

nonn,easy

AUTHOR

Klaus Brockhaus, Feb 04 2001

EXTENSIONS

a(37)-a(38) from  Vincenzo Librandi, Sep 21 2012

STATUS

approved

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Last modified July 5 03:05 EDT 2020. Contains 335457 sequences. (Running on oeis4.)