Smallest primes p = p(k) with (p(k)+p(k+1)+p(k+2))/15 an integer.

Terms

a(0) =3a(1) =4691a(2) =6397a(3) =6911a(4) =8893a(5) =10181a(6) =11833a(7) =12113a(8) =13063a(9) =13267a(10) =14251a(11) =16661a(12) =17851a(13) =20563a(14) =21341a(15) =21881a(16) =22229a(17) =22877a(18) =23339a(19) =23633a(20) =24859a(21) =26561a(22) =26591a(23) =27337a(24) =27361a(25) =28151a(26) =29531a(27) =30029a(28) =30211a(29) =30881