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sphenic n.  and  wasteful n.

First numbers that belong to both sets:

30, 42, 66, 70, 78, 102, 110, 114, 130, 138, 154, 165, 170, 174, 182, 186, 190, 195, 222, 230, 231, 238, 246, 255, 258, 266, 273, 282, 285, 286, 290, 310, 318, 322, 345, 354, 357, 366, 370, 374, 385, 399, 402, 406, 410, 418, 426, 429, 430, 434, 435, 438, 442, 455, 465, 470, 474, 483, 494, 498, 506, 518, 530, 534, 555, 561, 574, 582, 590, 595, 598, 602, 606, 609, 610, 615, 618, 627, 638, 642, 645, 646, 651, 654, 658, 663, 665, 670, 678, 682, 705, 710, 715, 730, 741, 742, 754, 759, 762, 777, 782, 786, 790, 795, 805, 806, 814, 822, 826, 830, 834, 854, 861, 874, 885, 890, 894, 897, 902, 903, 906, 915, 935, 938, 942, 946, 957, 962, 969, 970, 978, 986, 987, 994, 1001, 1002, 1010, 1023, 1030, 1034, 1038, 1045, 1054, 1066, 1070, 1074, 1086, 1090, 1102, 1105, 1118, 1130, 1131, 1146, 1158, 1166, 1173, 1178, 1182, 1194, 1209, 1221, 1222, 1235, 1258, 1265, 1266, 1270, 1298, 1309, 1310, 1311, 1334, 1338, 1342, 1353, 1362, 1370, 1374, 1378, 1390, 1394, 1398, 1406, 1414, 1419, 1426, 1434, 1442, 1443, 1446, 1462, 1463, 1474, 1479, 1490, 1495, 1498, 1506, 1510, 1515, 1526, 1534, 1542, 1545, 1547, 1551, 1558, 1562, 1570, 1578, 1581, 1582, 1586, 1595, 1598, 1599, 1605, 1606, 1614, 1615, 1626, 1630, 1634, 1635, 1653, 1662, 1670, 1677, 1686, 1695, 1698, 1702, 1705, 1729, 1730, 1738, 1742, 1749, 1758, 1767, 1771, 1778, 1786, 1790, 1798, 1802, 1810, 1826, 1833, 1834, 1842, 1846, 1866, 1878, 1885, 1886, 1887, 1898, 1902, 1905, 1910, 1918, 1930, 1946, 1947, 1955, 1958, 1965, 1970, 1978, 1986, 1990, 2001, 2006, 2013, 2014, 2015, 2022, 2035.

Some larger examples :