A092847 Sum( round(prime(k)/ln(prime(k))),k=1..n).

3, 6, 9, 13, 18, 23, 29, 35, 42, 51, 60, 70, 81, 92, 104, 117, 131, 146, 162, 179, 196, 214, 233, 253, 274, 296, 318, 341, 364, 388, 414, 441, 469, 497, 527, 557, 588, 620, 653, 687, 722, 757, 793, 830, 867, 905, 944, 985, 1027, 1069, 1112, 1156, 1200, 1245, 1291