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A154577 Primes of the form 2n^2+14n+5. 13

%I #22 Sep 08 2022 08:45:40

%S 5,41,293,401,461,593,821,1181,1493,1721,3593,4493,5081,7793,12941,

%T 16001,16361,17093,21821,28541,29021,31481,33521,36161,39461,45281,

%U 48341,54101,56093,65141,66593,74093,75641,76421,83621,92861,98993,101681

%N Primes of the form 2n^2+14n+5.

%C Primes in A154576. [_Omar E. Pol_, Aug 05 2009]

%C Subsequence of A007528, A040117. [_Bruno Berselli_, Jun 18 2014]

%C 2*a(n) + 39 is a square. - _Vincenzo Librandi_, Apr 10 2015

%H Vincenzo Librandi, <a href="/A154577/b154577.txt">Table of n, a(n) for n = 1..1000</a>

%t Select[Table[2n^2+14n+5,{n,0,15001}],PrimeQ] (* _Vincenzo Librandi_, Jul 23 2012 *)

%o (Magma) [a: n in [0..300] | IsPrime(a) where a is 2*n^2+14*n+5]; // _Vincenzo Librandi_, Jul 23 2012

%o (PARI) for (n=0, 300, if (isprime (k=2*n^2+14*n+5), print1 (k, ", "))); \\ _Vincenzo Librandi_, Jul 23 2012

%Y Cf. A007528, A040117, A154576.

%K nonn,easy

%O 1,1

%A _Vincenzo Librandi_, Jan 12 2009

%E a(30)=66593 inserted, definition corrected and edited by _Omar E. Pol_, Aug 05 2009, Aug 06 2009

%E Added the first term 5 by _Vincenzo Librandi_, Jul 23 2012

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Last modified March 28 17:42 EDT 2024. Contains 371254 sequences. (Running on oeis4.)