login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A059287 Primes p such that x^16 = 2 has no solution mod p, but x^8 = 2 has a solution mod p. 2
1217, 1249, 1553, 1777, 2833, 4049, 4273, 4481, 4993, 5297, 6449, 6481, 6689, 7121, 8081, 8609, 9137, 9281, 9649, 10337, 10369, 10433, 11329, 11617, 11633, 12241, 12577, 13121, 13441, 13633, 14321, 14753, 15121, 15569, 16417, 16433, 16673 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..150

MATHEMATICA

Select[Prime[Range[PrimePi[20000]]], !MemberQ[PowerMod[Range[#], 16, #], Mod[2, #]] && MemberQ[PowerMod[Range[#], 8, #], Mod[2, #]]&] (* Vincenzo Librandi, Sep 21 2013 *)

PROG

(MAGMA) [p: p in PrimesUpTo(17000) | not exists{x: x in ResidueClassRing(p) | x^16 eq 2} and exists{x: x in ResidueClassRing(p) | x^8 eq 2}]; // Vincenzo Librandi, Sep 21 2012

CROSSREFS

A000040, A045315, A045316.

Sequence in context: A130680 A068783 A235889 * A225759 A059669 A032628

Adjacent sequences:  A059284 A059285 A059286 * A059288 A059289 A059290

KEYWORD

nonn,easy

AUTHOR

Klaus Brockhaus, Jan 25 2001

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 19 16:00 EDT 2018. Contains 316365 sequences. (Running on oeis4.)