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 A243891 Primes of the form 2*n^2 + 62*n + 29. 2

%I #13 Sep 08 2022 08:46:08

%S 233,389,653,953,1061,1289,1409,2069,2213,4253,4649,5273,6869,8933,

%T 9209,10061,10949,13829,15569,16661,17033,17789,24413,26693,28109,

%U 32573,35729,36269,37361,42473,44249,46061,48533,51713,52361,55661,56333,57689,59753

%N Primes of the form 2*n^2 + 62*n + 29.

%C Subsequence of A040117.

%C Conjecture: except 4253, 2^a(n) - 1 is not prime; in other words, these primes are included in A054723.

%C 2*a(n) + 903 is a square. - _Vincenzo Librandi_, Jun 29 2016

%H Vincenzo Librandi, <a href="/A243891/b243891.txt">Table of n, a(n) for n = 1..1000</a>

%t Select[Table[2 n^2 + 62 n + 29, {n, 200}], PrimeQ]

%o (Magma) [a: n in [1..200] | IsPrime(a) where a is 2*n^2+62*n+29];

%Y Cf. A040117.

%Y Cf. similar sequences listed in A243888.

%K nonn,easy

%O 1,1

%A _Vincenzo Librandi_, Jun 16 2014

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Last modified June 9 13:49 EDT 2023. Contains 363180 sequences. (Running on oeis4.)