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A093343
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Primes of form (prime(n)^2 + prime(n+1)^2)/2.
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7
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17, 37, 229, 2029, 14449, 22501, 25609, 28909, 32401, 42061, 57601, 72901, 116989, 176401, 181501, 265261, 304729, 324901, 378229, 462409, 497041, 695581, 804709, 1089961, 1299721, 1416109, 1664101, 1742401, 1932181, 1971241, 2712709, 2873029, 3062509, 3186229
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OFFSET
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1,1
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COMMENTS
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Except for the first term, all terms == 1 mod 6. - Zak Seidov, Dec 02 2009
Except 17, all terms == 1 mod 12. Primes of the form A028334(n+1)^2 + A024675(n)^2. - Thomas Ordowski, Jun 28 2013
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LINKS
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Zak Seidov, Table of n, a(n) for n=1..1000
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FORMULA
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Conjecture: a(n) ~ A224888(n). - Thomas Ordowski, Jul 25 2013
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MATHEMATICA
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Select[Mean/@Partition[Prime[Range[500]]^2, 2, 1], PrimeQ] (* Harvey P. Dale, Jun 16 2021 *)
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CROSSREFS
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Cf. A103739.
Sequence in context: A154301 A057185 A157467 * A153685 A208292 A121710
Adjacent sequences: A093340 A093341 A093342 * A093344 A093345 A093346
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KEYWORD
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nonn
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AUTHOR
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Giovanni Teofilatto, Apr 26 2004
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EXTENSIONS
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Corrected and extended by Rick L. Shepherd, Nov 24 2004
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STATUS
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approved
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