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 A093343 Primes of form (prime(n)^2 + prime(n+1)^2)/2. 7
 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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS 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 LINKS Zak Seidov, Table of n, a(n) for n=1..1000 FORMULA Conjecture: a(n) ~ A224888(n). - Thomas Ordowski, Jul 25 2013 MATHEMATICA Select[Mean/@Partition[Prime[Range[500]]^2, 2, 1], PrimeQ] (* Harvey P. Dale, Jun 16 2021 *) CROSSREFS Cf. A103739. Sequence in context: A154301 A057185 A157467 * A153685 A208292 A121710 Adjacent sequences:  A093340 A093341 A093342 * A093344 A093345 A093346 KEYWORD nonn AUTHOR Giovanni Teofilatto, Apr 26 2004 EXTENSIONS Corrected and extended by Rick L. Shepherd, Nov 24 2004 STATUS approved

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Last modified July 4 08:01 EDT 2022. Contains 355070 sequences. (Running on oeis4.)