a(0)=1, a(1)=1, a(n) = largest prime <= a(n-1) + a(n-2).

Terms

a(0) =1a(1) =1a(2) =2a(3) =3a(4) =5a(5) =7a(6) =11a(7) =17a(8) =23a(9) =37a(10) =59a(11) =89a(12) =139a(13) =227a(14) =359a(15) =577a(16) =929a(17) =1499a(18) =2423a(19) =3919a(20) =6337a(21) =10253a(22) =16573a(23) =26821a(24) =43391a(25) =70207a(26) =113591a(27) =183797a(28) =297377a(29) =481171