Search: id:A028870
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%I A028870
%S A028870 2,3,5,7,9,13,15,19,21,27,29,33,35,37,43,47,49,55,61,63,69,71,75,77,
%T A028870 89,93,103,107,117,119,121,127,131,135,139,145,155,161,169,173,177,
%U A028870 183,191,205,211,217,223,231,233,237,239,247,253,257,259,265,267
%N A028870 Numbers n such that n^2 - 2 is prime.
%C A028870 It is conjectured that this sequence is infinite.
%D A028870 D. Shanks, Solved and Unsolved Problems in Number Theory, 2nd. ed., Chelsea, 
               1978, p. 31.
%H A028870 P. De Geest, <a href="http://www.worldofnumbers.com/consemor.htm">Palindromic 
               Quasipronics of the form n(n+x)</a>
%H A028870 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               Near-SquarePrime.html">Near-Square Prime</a>
%t A028870 a[n_]:=n^x-y;lst={};x=2;y=2;Do[If[PrimeQ[a[n]],AppendTo[lst,n]],{n,0,
               6!}];lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Jan 03 
               2009]
%Y A028870 Cf. A028871.
%Y A028870 Sequence in context: A102424 A080000 A032459 this_sequence A057886 A069999 
               A035563
%Y A028870 Adjacent sequences: A028867 A028868 A028869 this_sequence A028871 A028872 
               A028873
%K A028870 nonn
%O A028870 1,1
%A A028870 Patrick De Geest (pdg(AT)worldofnumbers.com)

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