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.

430487, 1288337, 2317097, 3047311, 6045077, 10593617, 11166347, 14122697, 14774537, 16622717, 17905427, 17956637, 18614777, 21677701, 23874467, 24148547, 25109057, 28198187, 31543847, 34953227, 35542667, 35761409, 40321007, 41627671, 41961587, 44536469, 46184627

Offset

1,1

Comments

Delta = pqr + 2uvw - pu^2 - qv^2 - rw^2 for the general conic section px^2 + qy^2 + rz^2 + 2uyz + 2vxz + 2wxy = 0.

Links

Table of n, a(n) for n=1..27.

Example

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.

Crossrefs

Cf. A000040.

Sequence in context: A051595 A234857 A186593 * A233620 A271110 A237926

Adjacent sequences: A328194 A328195 A328196 * A328198 A328199 A328200

Keyword

nonn

Author

Philip Mizzi, Oct 07 2019

Extensions

More terms from Giovanni Resta, Oct 09 2019

Status

approved