A095697 -id:A095697 - cp's OEIS frontend

A096689 Numbers n such that 2n^2 + 3n + 3 is prime.

0, 2, 4, 10, 16, 20, 26, 34, 40, 44, 46, 50, 62, 64, 74, 76, 80, 82, 86, 92, 94, 110, 122, 140, 160, 164, 170, 176, 182, 200, 202, 212, 214, 220, 224, 232, 236, 250, 262, 296, 302, 304, 310, 320, 322, 326, 332, 344, 346, 352, 392, 400, 404, 422, 424, 446, 452

Offset: 1

Ray Chandler, Jul 12 2004

nonn

All n are {2,4} (mod 6), as in A047235, because otherwise 2*n^2 + 3*n + 3 is a multiple of 2 or 3. - R. J. Mathar, Jul 17 2012

Cf. A095697, A096690, A096691.

f[n_]:=n^2+(n+1)^2+(n+2); lst={};Do[p=f[n];If[PrimeQ[p],AppendTo[lst,n]],{n,0,6!}];lst (* Vladimir Joseph Stephan Orlovsky, Jul 04 2009 *)
Select[Range[0,500],PrimeQ[2#^2+3#+3]&] (* Harvey P. Dale, Jul 19 2011 *)

is(n)=isprime(2*n^2+3*n+3) \\ Charles R Greathouse IV, May 22 2017

a(n) = A096691(n)*2.

A096690 k such that k-th prime is of the form 2n^2 + 3n + 3.

Original entry on oeis.org

2, 7, 15, 51, 103, 150, 227, 359, 468, 553, 597, 687, 995, 1050, 1355, 1412, 1554, 1620, 1758, 1982, 2058, 2722, 3260, 4167, 5290, 5522, 5904, 6274, 6657, 7886, 8039, 8764, 8909, 9374, 9676, 10307, 10628, 11801, 12847, 16003, 16605, 16811, 17425

Offset: 1

Ray Chandler, Jul 12 2004

nonn

A095697 indexed by A000040.

Cf. A095697, A096689, A096691.

A096691 Numbers n such that 8n^2 + 6n + 3 is prime.

Original entry on oeis.org

0, 1, 2, 5, 8, 10, 13, 17, 20, 22, 23, 25, 31, 32, 37, 38, 40, 41, 43, 46, 47, 55, 61, 70, 80, 82, 85, 88, 91, 100, 101, 106, 107, 110, 112, 116, 118, 125, 131, 148, 151, 152, 155, 160, 161, 163, 166, 172, 173, 176, 196, 200, 202, 211, 212, 223, 226, 227, 245, 247

Offset: 1

Ray Chandler, Jul 12 2004

nonn

Cf. A095697, A096689, A096690.

f[n_]:=n^2+(n+1)^2+(n+2); lst={};Do[p=f[n];If[PrimeQ[p],AppendTo[lst,n/2]],{n,0,6!}];lst (* Vladimir Joseph Stephan Orlovsky, Jul 04 2009 *)
Select[Range[0,300],PrimeQ[8#^2+6#+3]&] (* Harvey P. Dale, Jun 11 2015 *)

is(n)=isprime(8*n^2+6*n+3) \\ Charles R Greathouse IV, May 22 2017

a(n) = A096689(n)/2.

cp's OEIS Frontend

A096689 Numbers n such that 2n^2 + 3n + 3 is prime.

Views

Author

Keywords

Comments

Crossrefs

Programs

Mathematica

PARI

Formula

A096690 k such that k-th prime is of the form 2n^2 + 3n + 3.

Views

Author

Keywords

Comments

Crossrefs

A096691 Numbers n such that 8n^2 + 6n + 3 is prime.

Views

Author

Keywords

Crossrefs

Programs

Mathematica

PARI

Formula