A138355 Primes of the form k^2 + 10.

11, 19, 59, 131, 179, 739, 971, 1531, 2411, 2819, 3259, 3491, 5051, 5939, 6571, 6899, 8291, 9419, 9811, 10211, 15139, 16139, 16651, 19891, 22811, 24659, 25931, 28571, 29251, 32051, 32771, 35731, 42859, 43691, 44531, 49739, 51539, 56179, 57131

Offset

1,1

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Formula

a(n) >> n^2 log n. - Charles R Greathouse IV, Nov 06 2024

Mathematica

Intersection[Table[n^2+10, {n, 0, 10^2}], Prime[Range[9*10^3]]] ...or... For[i=10, i<=10, a={}; Do[If[PrimeQ[n^2+i], AppendTo[a, n^2+i]], {n, 0, 100}]; Print["n^2+", i, ", ", a]; i++ ]
Select[Range[250]^2+10, PrimeQ] (* Harvey P. Dale, Nov 13 2011 *)

Prog

(Magma) [ a: n in [0..900] | IsPrime(a) where a is n^2+10]; // Vincenzo Librandi, Nov 24 2010
(PARI) list(lim)=my(v=List(), t); forstep(k=1, sqrtint(lim\1-10), 2, if(isprime(t=k^2+10), listput(v, t))); Vec(v) \\ Charles R Greathouse IV, Nov 06 2024

Crossrefs

Sequence in context: A227930 A224383 A139829 * A265802 A178385 A139602

Adjacent sequences: A138352 A138353 A138354 * A138356 A138357 A138358

Keyword

nonn,easy

Author

Vladimir Joseph Stephan Orlovsky, May 07 2008

Extensions

More terms from Vincenzo Librandi, Apr 28 2010

Status

approved