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odious n.  and  sphenic n.

First numbers that belong to both sets:

42, 70, 110, 138, 174, 182, 186, 230, 266, 273, 285, 286, 290, 310, 322, 345, 357, 370, 385, 406, 410, 426, 434, 465, 494, 506, 518, 530, 555, 590, 595, 598, 602, 618, 638, 642, 651, 654, 665, 678, 682, 710, 762, 782, 790, 805, 806, 830, 861, 885, 890, 902, 906, 935, 942, 962, 986, 1001, 1002, 1010, 1015, 1022, 1030, 1034, 1054, 1070, 1090, 1095, 1102, 1113, 1130, 1166, 1173, 1178, 1194, 1221, 1222, 1239, 1245, 1246, 1270, 1281, 1311, 1335, 1342, 1353, 1362, 1374, 1378, 1390, 1398, 1407, 1414, 1426, 1435, 1442, 1462, 1474, 1479, 1491, 1498, 1510, 1533, 1534, 1547, 1558, 1562, 1578, 1586, 1595, 1598, 1605, 1606, 1615, 1630, 1634, 1645, 1653, 1670, 1698, 1729, 1730, 1742, 1749, 1778, 1790, 1798, 1802, 1810, 1826, 1846, 1855, 1869, 1878, 1887, 1898, 1905, 1918, 1946, 1955, 1958, 1970, 1990, 2001, 2013, 2014, 2035, 2037, 2054, 2065, 2082, 2091, 2093, 2094, 2114, 2134, 2154, 2162, 2198, 2202, 2211, 2235, 2238, 2255, 2270, 2274, 2294, 2298, 2318, 2330, 2345, 2354, 2365, 2373, 2378, 2397, 2398, 2414, 2422, 2431, 2438, 2465, 2485, 2486, 2510, 2522, 2534, 2546, 2555, 2585, 2586, 2595, 2598, 2607, 2630, 2634, 2639, 2658, 2667, 2678, 2694, 2697, 2698, 2703, 2715, 2717, 2739, 2742, 2751, 2765, 2766, 2774, 2778, 2794, 2802, 2821, 2822, 2834, 2849, 2874, 2882, 2905, 2915, 2922, 2930, 2945, 2946, 2955, 2985, 2994, 3014, 3018, 3026, 3054, 3059, 3074, 3110, 3122, 3145, 3154, 3165, 3170, 3182, 3206, 3243, 3245, 3246, 3266, 3278, 3286, 3289, 3302, 3311, 3333, 3345, 3346, 3355, 3358, 3367, 3374, 3382, 3399, 3405, 3406, 3414, 3417, 3423, 3434, 3441, 3451, 3454, 3470, 3477, 3478, 3515, 3526, 3530, 3535, 3538, 3553.

Some larger examples :