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 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. 0

%I

%S 430487,1288337,2317097,3047311,6045077,10593617,11166347,14122697,

%T 14774537,16622717,17905427,17956637,18614777,21677701,23874467,

%U 24148547,25109057,28198187,31543847,34953227,35542667,35761409,40321007,41627671,41961587,44536469,46184627

%N 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 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 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 Cf. A000040.

%K nonn

%O 1,1

%A _Philip Mizzi_, Oct 07 2019

%E More terms from _Giovanni Resta_, Oct 09 2019

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Last modified August 15 09:19 EDT 2022. Contains 356135 sequences. (Running on oeis4.)