Search: id:A106872
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%I A106872
%S A106872 2,5,7,19,41,59,71,97,101,103,107,109,113,157,163,191,193,211,233,257,
%T A106872 281,307,311,317,359,373,397,419,421,439,443,467,479,503,541,547,563,
%U A106872 593,599,659,661,683,691,701,727,733,751,769,877,887,907,977,997,1033
%N A106872 Primes of the form 2x^2+xy+4y^2, with x and y any integer.
%C A106872 Discriminant=-31. See A106856 for more information.
%C A106872 Primes p such that the polynomial x^3-x^2-1 is irreducible over Zp. The 
               polynomial discriminant is also -31. - T. D. Noe (noe(AT)sspectra.com), 
               May 13 2005
%t A106872 f[x_,y_]:=2*x^2+x*y+4*y^2; lst={};Do[Do[p=f[x,y];If[PrimeQ[p],AppendTo[lst,
               p]],{y,-5!,6!}],{x,-5!,6!}];Take[Union[lst],5! ] [From Vladimir Orlovsky 
               (4vladimir(AT)gmail.com), Jul 04 2009]
%t A106872 Union[QuadPrimes[2, 1, 4, 10000], QuadPrimes[2, -1, 4, 10000]] (* see 
               A106856 *)
%Y A106872 Sequence in context: A042449 A046115 A089443 this_sequence A071198 A041387 
               A096146
%Y A106872 Adjacent sequences: A106869 A106870 A106871 this_sequence A106873 A106874 
               A106875
%K A106872 nonn,easy
%O A106872 1,1
%A A106872 T. D. Noe (noe(AT)sspectra.com), May 09 2005

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