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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Equivalently, primes of the form 2n^2 + 3n + 3, generated by the n in A096689.

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

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 *)

PROG

(MAGMA) [a: n in [0..300] | IsPrime(a) where a is 2*n^2 + 3*n + 3]; // Vincenzo Librandi, Jul 17 2012

CROSSREFS

Cf. A096690, A096691.

Sequence in context: A152472 A117012 A162291 * A154304 A144640 A084069

Adjacent sequences:  A095694 A095695 A095696 * A095698 A095699 A095700

KEYWORD

nonn,easy

AUTHOR

Giovanni Teofilatto, Jul 06 2004

EXTENSIONS

Extended by Ray Chandler, Jul 12 2004

STATUS

approved

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Last modified June 17 19:05 EDT 2019. Contains 324198 sequences. (Running on oeis4.)