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arithmetic n.  and  lucky n.

First numbers that belong to both sets:

1, 3, 7, 13, 15, 21, 31, 33, 37, 43, 49, 51, 67, 69, 73, 79, 87, 93, 99, 105, 111, 115, 127, 129, 133, 135, 141, 151, 159, 163, 169, 189, 193, 195, 201, 205, 211, 219, 223, 231, 235, 237, 241, 259, 261, 267, 273, 283, 285, 297, 303, 307, 319, 321, 327, 331, 339, 349, 357, 361, 367, 385, 391, 393, 399, 409, 415, 421, 427, 429, 433, 451, 463, 477, 483, 487, 489, 495, 511, 517, 519, 535, 537, 541, 553, 559, 577, 579, 583, 591, 601, 613, 615, 619, 621, 631, 639, 643, 645, 651, 655, 673, 679, 685, 693, 699, 717, 723, 727, 735, 739, 741, 745, 769, 777, 781, 787, 801, 805, 823, 831, 855, 883, 885, 895, 897, 903, 931, 933, 937, 957, 961, 979, 991, 993, 997, 1009, 1011, 1021, 1023, 1029, 1039, 1041, 1057, 1087, 1093, 1095, 1101, 1105, 1107, 1117, 1123, 1147, 1155, 1167, 1179, 1183, 1189, 1201, 1203, 1209, 1219, 1231, 1233, 1245, 1249, 1261, 1263, 1275, 1281, 1285, 1291, 1303, 1309, 1323, 1329, 1339, 1357, 1365, 1369, 1387, 1389, 1395, 1401, 1417, 1419, 1435, 1441, 1455, 1459, 1471, 1473, 1485, 1491, 1495, 1497, 1501, 1503, 1519, 1533, 1543, 1545, 1563, 1567, 1579, 1585, 1597, 1599, 1611, 1639, 1641, 1645, 1659, 1663, 1693, 1705, 1711, 1723, 1731, 1749, 1765, 1767, 1771, 1773, 1777, 1797, 1801, 1809, 1819, 1827, 1831, 1833, 1839, 1857, 1869, 1879, 1893, 1915, 1921, 1923, 1933, 1941, 1945, 1959, 1963, 1965, 1977, 1983, 1987, 1995, 2001, 2019, 2031, 2053, 2059, 2065, 2067, 2079, 2083, 2085, 2095, 2113, 2115, 2121, 2125, 2127, 2133, 2163, 2173, 2187, 2211, 2215, 2217, 2221, 2239, 2251, 2253, 2257, 2271, 2277.

Some larger examples :