This site is supported by donations to The OEIS Foundation.

 Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing. Other ways to donate

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A050265 Primes of the form 2*n^2 + 11. 47
 11, 13, 19, 29, 43, 61, 83, 109, 139, 173, 211, 349, 461, 523, 659, 733, 811, 1069, 1163, 1579, 1693, 1811, 1933, 2749, 3373, 3539, 3709, 4243, 4813, 5011, 5419, 5843, 7211, 7699, 7949, 8461, 9533, 9811, 10093, 11261, 13789, 14461, 15149, 16573 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The polynomial 2*n^2 + 11 first fails to produce a prime for n = 11, giving 253 = 11 * 23. - Alonso del Arte, Sep 04 2016 Let P(n) = 2*n^2 + 11. The polynomial P(2*n - 10) = 8*n^2 - 80*n + 11 produces prime values (not distinct) for n = 0 to 10. The polynomial P(3*n - 19) = 18*n^2 - 228*n + 733 produces distinct prime values for n = 0 to 9. - Peter Bala, Apr 16 2018 LINKS Vincenzo Librandi, Table of n, a(n) for n = 1..10000 Eric Weisstein's World of Mathematics, Prime-generating Polynomial. FORMULA a(n) = 11 + 2*(A092968(n))^2. - R. J. Mathar, Jan 03 2009 MATHEMATICA Select[2Range[0, 100]^2 + 11, PrimeQ] (* Harvey P. Dale, May 20 2011 *) PROG (MAGMA) [a: n in [0..100] | IsPrime(a) where a is 2*n^2+11]; // Vincenzo Librandi, Dec 08 2011 CROSSREFS Cf. A005846, A007641. Sequence in context: A284037 A321891 A153421 * A176871 A092402 A081983 Adjacent sequences:  A050262 A050263 A050264 * A050266 A050267 A050268 KEYWORD nonn,easy AUTHOR EXTENSIONS 11 added by Vincenzo Librandi, Dec 08 2011 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.

Last modified December 14 22:42 EST 2019. Contains 329987 sequences. (Running on oeis4.)