a(1) = 2; a(n) is the smallest prime > a(n-1) such that a(n) + a(n-1) is a cube.

Terms

a(0) =2a(1) =727a(2) =2017a(3) =11807a(4) =15193a(5) =39679a(6) =70913a(7) =124199a(8) =314777a(9) =1090151a(10) =1895833a(11) =3017167a(12) =4982833a(13) =8841167a(14) =10841833a(15) =14570351a(16) =17587081a(17) =24557111a(18) =26095889a(19) =27061487a(20) =32257513a(21) =45051263a(22) =46073737a(23) =61776439a(24) =72441289a(25) =74756663a(26) =82707337a(27) =114430031a(28) =157667761a(29) =170841239