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 A027867 Primes of the form n^2 + (n+1)^2 + (n+2)^2 + (n+3)^2 + (n+4)^2 + (n+5)^2. 5
 139, 199, 271, 811, 1279, 1459, 2539, 2791, 3331, 3919, 4231, 7159, 8011, 9859, 15319, 17191, 17839, 20551, 24979, 25759, 41851, 42859, 48079, 58231, 59419, 65539, 68071, 74611, 88591, 102199, 125299, 132331, 143239, 154579, 156511, 166351, 170371, 172399, 243631, 276079, 281251, 289099, 294391 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Primes of form 55 + 30n + 6n^2. - Zak Seidov, May 20 2014 All terms == 1 or 19 (mod 30). - Robert Israel, Jul 18 2017 LINKS Robert Israel, Table of n, a(n) for n = 1..10000 P. De Geest, World!Of Numbers FORMULA a(n) = 55 + 30*m + 6*m^2 where m = A027866(n). - Zak Seidov, May 20 2014 MAPLE select(isprime, [seq(6*t^2-30*t+55, t=6..1000)]); # Robert Israel, Jul 18 2017 MATHEMATICA lst={}; Do[a=n^2+(n+1)^2+(n+2)^2+(n+3)^2+(n+4)^2+(n+5)^2; If[PrimeQ[a], AppendTo[lst, a]], {n, 8!}]; lst (* Vladimir Joseph Stephan Orlovsky, Jun 02 2009 *) Select[Table[Total[(n+Range[0, 5])^2], {n, 200}], PrimeQ] (* Harvey P. Dale, Jul 18 2011 *) Select[Total/@Partition[Range[300]^2, 6, 1], PrimeQ] (* Harvey P. Dale, Jul 23 2021 *) CROSSREFS Cf. A027866. Sequence in context: A016067 A142524 A108383 * A140019 A107206 A256601 Adjacent sequences:  A027864 A027865 A027866 * A027868 A027869 A027870 KEYWORD nonn AUTHOR EXTENSIONS More terms from Robert Israel, Jul 18 2017 STATUS approved

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Last modified September 22 22:38 EDT 2021. Contains 347609 sequences. (Running on oeis4.)