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equidigital n.  and  evil n.

First numbers that belong to both sets:

3, 5, 10, 15, 17, 23, 27, 29, 43, 53, 71, 83, 89, 101, 105, 106, 111, 113, 119, 123, 129, 135, 139, 141, 142, 147, 149, 159, 160, 163, 166, 169, 175, 177, 178, 183, 189, 192, 197, 201, 215, 219, 235, 237, 245, 249, 250, 257, 263, 267, 269, 277, 281, 287, 291, 293, 305, 311, 317, 320, 329, 335, 337, 347, 349, 353, 359, 365, 371, 373, 383, 384, 389, 401, 413, 427, 449, 461, 467, 469, 479, 485, 486, 497, 503, 509, 523, 547, 553, 567, 571, 581, 593, 599, 619, 640, 643, 673, 679, 683, 686, 691, 739, 751, 768, 773, 797, 811, 821, 839, 853, 857, 863, 881, 887, 907, 937, 977, 983, 1000, 1003, 1005, 1006, 1011, 1013, 1018, 1025, 1031, 1037, 1043, 1046, 1049, 1055, 1059, 1061, 1065, 1073, 1079, 1083, 1085, 1088, 1091, 1093, 1094, 1097, 1103, 1106, 1115, 1117, 1121, 1127, 1134, 1136, 1139, 1141, 1142, 1145, 1151, 1152, 1157, 1161, 1162, 1167, 1169, 1175, 1181, 1185, 1186, 1191, 1195, 1198, 1203, 1205, 1217, 1223, 1227, 1229, 1237, 1238, 1241, 1247, 1253, 1257, 1263, 1271, 1277, 1283, 1285, 1286, 1289, 1295, 1297, 1303, 1307, 1319, 1323, 1325, 1328, 1333, 1337, 1343, 1345, 1346, 1351, 1355, 1357, 1358, 1363, 1366, 1372, 1375, 1376, 1379, 1381, 1382, 1385, 1393, 1399, 1403, 1405, 1409, 1415, 1421, 1424, 1427, 1429, 1433, 1439, 1445, 1455, 1457, 1472, 1475, 1477, 1478, 1481, 1487, 1489, 1499, 1501, 1502, 1505, 1511, 1517, 1523, 1525, 1535, 1539, 1541, 1546, 1553, 1559, 1563, 1565, 1569, 1579, 1587, 1589, 1593, 1594, 1601, 1607, 1613, 1619, 1621, 1622, 1625, 1631, 1637, 1641, 1642, 1647, 1649, 1655, 1659, 1671, 1675, 1678, 1685, 1689.

Some larger examples :