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Primes of the form 2*n^2 + 70*n + 33.
10

%I #21 Sep 08 2022 08:46:04

%S 181,433,1801,4933,5581,7741,13033,18433,24733,41761,47161,49033,

%T 94033,96661,104761,140401,156781,174061,188533,207433,227233,252181,

%U 265141,370081,385741,412561,423541,440281,451621,510481,535033,572941,598933,659521,666433

%N Primes of the form 2*n^2 + 70*n + 33.

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

%C 2*a(n) + 1159 is a square. - _Vincenzo Librandi_, Apr 10 2015

%H Vincenzo Librandi, <a href="/A217499/b217499.txt">Table of n, a(n) for n = 1..3000</a>

%t Select[Table[2 n^2 + 70 n + 33, {n, 600}], PrimeQ]

%o (Magma) [a: n in [1..600] | IsPrime(a) where a is 2*n^2+70*n+33];

%Y Cf. A054723, A176549, A217494.

%Y Subsequence of A002144.

%K nonn,easy

%O 1,1

%A _Vincenzo Librandi_, Oct 09 2012