%I A045637
%S A045637 13,29,53,173,293,1373,2213,4493,5333,9413,10613,18773,26573,27893,
%T A045637 37253,54293,76733,85853,94253,97973,100493,120413,139133,214373,
%U A045637 237173,253013,299213,332933,351653,368453,375773,458333,552053,619373
%N A045637 Primes of the form p^2+4, where p is prime.
%C A045637 The only prime of the form p^2+2 is 11 (?) - Zak Seidov zakseidov(AT)yahoo.com
%C A045637 These are the only primes that are the sum of two primes squared. 11=3^2+2 
               is the only prime of the form p^2+2 because all primes greater than 
               3 can be written as p=6n-1 or p=6n+1, which allows p^2+2 to be factored. 
               - T. D. Noe, May 18 2007
%H A045637 T. D. Noe, <a href="b045637.txt">Table of n, a(n) for n=1..1000</a>
%e A045637 29 belongs to the sequence because it equals 5^2+4.
%t A045637 Select[Prime[ # ]^2+4&/@Range[140], PrimeQ]
%Y A045637 The corresponding primes p are in A062324.
%Y A045637 Cf. A094473-A094479.
%Y A045637 Sequence in context: A090866 A098062 A094481 this_sequence A146743 A065546 
               A075636
%Y A045637 Adjacent sequences: A045634 A045635 A045636 this_sequence A045638 A045639 
               A045640
%K A045637 nonn,easy
%O A045637 1,1
%A A045637 Felice Russo (felice.russo(AT)katamail.com)
%E A045637 Edited by Dean Hickerson (dean.hickerson(AT)yahoo.com), Dec 10 2002