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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.

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

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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