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List of primes of the form 25n^2-36n+13 with n>=0.
2

%I #23 Mar 16 2023 11:25:57

%S 2,13,41,269,2153,3181,4409,9293,11321,21433,27689,46829,51257,70969,

%T 87853,100109,106537,119993,141677,157133,165161,256441,277097,367721,

%U 430861,444089,457517,650281,858217,895673,914701,1033069,1053497,1137209,1224121

%N List of primes of the form 25n^2-36n+13 with n>=0.

%C Primes in A154355.

%H Vincenzo Librandi, <a href="/A154354/b154354.txt">Table of n, a(n) for n = 1..1000</a>

%e a(6) = 3181 corresponds to n=12, therefore 3181 = (3*12-2)^2+(4*12-3)^2 = 34^2+45^2 (see second comment in A154355). - _Bruno Berselli_, Feb 21 2012

%t Select[Table[25*n^2-36*n+13,{n,0,2000}],PrimeQ] (* _Vincenzo Librandi_, Jul 16 2012 *)

%o (Magma) [a: n in [0..350] | IsPrime(a) where a is 25*n^2-36*n+13]; // _Vincenzo Librandi_, Jul 16 2012

%Y Cf. A154355.

%K nonn,easy

%O 1,1

%A _Vincenzo Librandi_, Jan 07 2009

%E Corrected by _Don Reble_, Jun 16 2010

%E a(1)-a(2) in b-file corrected by _Andrew Howroyd_, Feb 22 2018