login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo

Please make a donation to keep the OEIS running. We are now in our 56th year. In the past year we added 10000 new sequences and reached almost 9000 citations (which often say "discovered thanks to the OEIS").
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A156252 Primes of the form 4*n^2+6*n+43. 2
43, 53, 71, 97, 131, 173, 223, 281, 347, 421, 503, 593, 691, 797, 911, 1033, 1163, 1301, 1447, 1601, 1933, 2111, 2297, 2693, 2903, 3121, 3347, 3581, 3823, 4073, 4597, 4871, 5153, 5443, 5741, 6047, 6361, 7013, 7351, 8783, 9161, 9547, 9941, 10343, 10753 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

4*n^2+6*n+43 is a prime number for all n up to 19.

Subsequence of A005846. (Substitute n=2k+1 in the definition of A005846 to show this.) [R. J. Mathar, Feb 19 2009]

LINKS

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

Vincenzo Librandi, Prime Generating Polynomials.

MATHEMATICA

Select[Table[4*n^2+6*n+43, {n, 0, 700}], PrimeQ] (* Vincenzo Librandi, Jul 26 2012 *)

PROG

(MAGMA) [a: n in [0..100] | IsPrime(a) where a is 4*n^2+6*n+43 ]; // Vincenzo Librandi, Jul 26 2012

CROSSREFS

Sequence in context: A128653 A080104 A095744 * A306627 A174818 A280388

Adjacent sequences:  A156249 A156250 A156251 * A156253 A156254 A156255

KEYWORD

nonn,easy

AUTHOR

Vincenzo Librandi, Feb 07 2009

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 2 10:39 EST 2020. Contains 338876 sequences. (Running on oeis4.)