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A095697
Primes of the form x^2 + y^2 + z, where x, y and z are three successive numbers.
4
3, 17, 47, 233, 563, 863, 1433, 2417, 3323, 4007, 4373, 5153, 7877, 8387, 11177, 11783, 13043, 13697, 15053, 17207, 17957, 24533, 30137, 39623, 51683, 54287, 58313, 62483, 66797, 80603, 82217, 90527, 92237, 97463, 101027, 108347, 112103
OFFSET
1,1
COMMENTS
Equivalently, primes of the form 2n^2 + 3n + 3, generated by the n in A096689.
LINKS
MATHEMATICA
f[n_]:=n^2+(n+1)^2+(n+2); lst={}; Do[p=f[n]; If[PrimeQ[p], AppendTo[lst, p]], {n, 0, 6!}]; lst (* Vladimir Joseph Stephan Orlovsky, Jul 04 2009 *)
Select[Table[2*n^2+3*n+3, {n, 0, 2000}], PrimeQ] (* Vincenzo Librandi, Jul 17 2012 *)
Select[#[[1]]^2+#[[2]]^2+#[[3]]&/@Partition[Range[0, 300], 3, 1], PrimeQ] (* Harvey P. Dale, Apr 01 2023 *)
PROG
(Magma) [a: n in [0..300] | IsPrime(a) where a is 2*n^2 + 3*n + 3]; // Vincenzo Librandi, Jul 17 2012
CROSSREFS
Sequence in context: A152472 A117012 A162291 * A154304 A144640 A084069
KEYWORD
nonn,easy
AUTHOR
Giovanni Teofilatto, Jul 06 2004
EXTENSIONS
Extended by Ray Chandler, Jul 12 2004
STATUS
approved