A014694 a(n) = ithprime(n+1) - (-1)^n*ceil(n/2).

4, 4, 9, 9, 16, 14, 23, 19, 34, 26, 43, 35, 50, 40, 61, 51, 70, 58, 81, 63, 90, 72, 101, 85, 114, 90, 121, 95, 128, 112, 147, 121, 156, 132, 169, 139, 182, 148, 193, 159, 202, 170, 215, 175, 222, 188, 247, 203, 254, 208, 265, 215, 278, 230, 291, 241, 300, 248, 311