cp's OEIS Frontend

A328197 Smallest prime (p) of six consecutive primes (p,q,r,u,v,w) for which the conic section discriminant (Delta) for general conic section px^2 + qy^2 + rz^2 + 2uyz + 2vxz + 2wxy = 0 is a fourth power.

%I A328197 #12 Oct 17 2019 08:36:31
%S A328197 430487,1288337,2317097,3047311,6045077,10593617,11166347,14122697,
%T A328197 14774537,16622717,17905427,17956637,18614777,21677701,23874467,
%U A328197 24148547,25109057,28198187,31543847,34953227,35542667,35761409,40321007,41627671,41961587,44536469,46184627
%N A328197 Smallest prime (p) of six consecutive primes (p,q,r,u,v,w) for which the conic section discriminant (Delta) for general conic section px^2 + qy^2 + rz^2 + 2uyz + 2vxz + 2wxy = 0 is a fourth power.
%C A328197 Delta = pqr + 2uvw - pu^2 - qv^2 - rw^2 for the general conic section px^2 + qy^2 + rz^2 + 2uyz + 2vxz + 2wxy = 0.
%e A328197 For n = 1, (p,q,r,u,v,w) = (430487,430499,430511,430513,430517,430543), Delta = 1296 = 6^4. Hence, 430487 the smallest prime of the six is a member.
%Y A328197 Cf. A000040.
%K A328197 nonn
%O A328197 1,1
%A A328197 _Philip Mizzi_, Oct 07 2019
%E A328197 More terms from _Giovanni Resta_, Oct 09 2019