# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a094810 Showing 1-1 of 1 %I A094810 #9 Nov 14 2019 08:59:48 %S A094810 3,5,11,23,53,307,769,5039,13049,603667,1578823,10810469,427860443429, %T A094810 16944504081930151,31525215457325198354227 %N A094810 Primes of the form F(n)*F(n+1)+F(n+2). %C A094810 Excluding the term a(4)=23, primes p such that p(n) is not a sum of two squares but p(n+1) is a sum of two squares. %F A094810 5 is in the sequence because F(2)*F(3)+F(4) = 1*2+3=5. %F A094810 11 is in because F(3)*F(4)+F(5) = 2*3+5 = 11 %F A094810 23 is in because F(4)*F(5)+F(6) = 3*5+8 = 23 %F A094810 A000040 INTERSECT A305412. - _R. J. Mathar_, Nov 14 2019 %o A094810 (PARI) lista(nn) = {for (n=1, nn, if (isprime(p=fibonacci(n)*fibonacci(n+1) +fibonacci(n+2)), print1(p, ", ")););} \\ _Michel Marcus_, Jun 03 2013 %K A094810 nonn %O A094810 1,1 %A A094810 _Giovanni Teofilatto_, Jun 11 2004 %E A094810 More terms from _Michel Marcus_, Jun 03 2013 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE