A046282 Numbers n such that n is a prime and sum of all lucky numbers <= n is a prime.

3, 31, 37, 173, 179, 293, 353, 383, 389, 397, 409, 467, 491, 547, 691, 733, 761, 829, 883, 911, 953, 967, 1129, 1259, 1279, 1291, 1307, 1319, 1373, 1399, 1433, 1447, 1459, 1531, 1543, 1607, 1627, 1669, 1693, 1697, 1709, 1777, 1787, 1811, 1871, 1907