Number of 5-element subsets of [n] having a prime element sum.

Terms

a(0) =0a(1) =2a(2) =7a(3) =13a(4) =31a(5) =59a(6) =110a(7) =191a(8) =322a(9) =497a(10) =743a(11) =1053a(12) =1469a(13) =1998a(14) =2698a(15) =3574a(16) =4696a(17) =6051a(18) =7710a(19) =9663a(20) =11998a(21) =14718a(22) =17957a(23) =21715a(24) =26130a(25) =31196a(26) =37041a(27) =43632a(28) =51121a(29) =59468