Search: id:A045637 Results 1-1 of 1 results found. %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, Table of n, a(n) for n=1..1000 %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 Search completed in 0.002 seconds