Smallest prime in a sequence of n consecutive primes which add to a perfect cube.

Terms

a(0) =3a(1) =439a(2) =4812191a(3) =41051a(4) =1753a(5) =75869a(6) =24359a(7) =1674289a(8) =17509a(9) =6221a(10) =771653a(11) =29863a(12) =6899a(13) =35353a(14) =1073239a(15) =4001a(16) =18959a(17) =1613741a(18) =1033a(19) =12077759a(20) =172433a(21) =1548149a(22) =364079a(23) =199a(24) =4580399a(25) =373a(26) =3847a(27) =411396253a(28) =41863a(29) =1371031