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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
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
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
KEYWORD
nonn
AUTHOR
Giovanni Teofilatto, Apr 26 2004
EXTENSIONS
Corrected and extended by Rick L. Shepherd, Nov 24 2004
STATUS
approved