A108539 a(n) = that prime p such that p/prime(n) is nearest to phi, the golden ratio: phi=(1+sqrt(5))/2.

3, 5, 7, 11, 17, 23, 29, 31, 37, 47, 53, 59, 67, 71, 79, 83, 97, 97, 109, 113, 113, 127, 137, 149, 157, 163, 167, 173, 179, 181, 211, 211, 223, 223, 241, 241, 257, 263, 271, 281, 293, 293, 311, 313, 317, 317, 337, 359, 367, 373, 379, 389, 389, 409, 419, 421, 433