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A328197
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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.
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0
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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
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1,1
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COMMENTS
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Delta = pqr + 2uvw - pu^2 - qv^2 - rw^2 for the general conic section px^2 + qy^2 + rz^2 + 2uyz + 2vxz + 2wxy = 0.
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LINKS
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Table of n, a(n) for n=1..27.
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EXAMPLE
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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.
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CROSSREFS
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Cf. A000040.
Sequence in context: A051595 A234857 A186593 * A233620 A271110 A237926
Adjacent sequences: A328194 A328195 A328196 * A328198 A328199 A328200
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KEYWORD
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nonn
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AUTHOR
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Philip Mizzi, Oct 07 2019
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EXTENSIONS
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More terms from Giovanni Resta, Oct 09 2019
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STATUS
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approved
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