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interprime n.  and  odious n.

First numbers that belong to both sets:

4, 21, 26, 42, 50, 56, 64, 69, 76, 81, 93, 134, 138, 176, 186, 205, 217, 236, 254, 266, 274, 279, 309, 324, 334, 342, 348, 351, 370, 376, 381, 386, 405, 426, 436, 446, 453, 465, 501, 506, 515, 522, 532, 552, 560, 566, 570, 590, 604, 618, 625, 642, 656, 675, 687, 696, 714, 747, 803, 810, 855, 861, 885, 939, 944, 950, 974, 1016, 1036, 1044, 1078, 1089, 1092, 1095, 1113, 1120, 1126, 1140, 1184, 1190, 1207, 1226, 1234, 1243, 1281, 1294, 1299, 1302, 1305, 1324, 1344, 1364, 1377, 1390, 1404, 1425, 1428, 1431, 1456, 1465, 1476, 1485, 1488, 1491, 1527, 1537, 1620, 1624, 1660, 1681, 1698, 1704, 1715, 1722, 1744, 1750, 1756, 1780, 1795, 1864, 1869, 1872, 1875, 1878, 1884, 1922, 1941, 1962, 1976, 1990, 2001, 2007, 2014, 2058, 2066, 2075, 2082, 2088, 2094, 2105, 2134, 2217, 2238, 2303, 2336, 2354, 2374, 2386, 2391, 2414, 2444, 2475, 2490, 2512, 2546, 2568, 2585, 2592, 2601, 2619, 2627, 2658, 2667, 2688, 2691, 2703, 2712, 2724, 2736, 2745, 2751, 2760, 2783, 2790, 2794, 2799, 2802, 2811, 2826, 2840, 2859, 2870, 2906, 2922, 2946, 2955, 2960, 2966, 2970, 2985, 3000, 3006, 3073, 3086, 3114, 3165, 3175, 3184, 3189, 3206, 3240, 3258, 3265, 3285, 3316, 3326, 3337, 3345, 3381, 3399, 3423, 3441, 3453, 3505, 3540, 3544, 3565, 3620, 3627, 3714, 3723, 3750, 3764, 3768, 3774, 3786, 3800, 3812, 3822, 3909, 3914, 3921, 3937, 3957, 3978, 3995, 4002, 4016, 4054, 4076, 4096, 4105, 4119, 4136, 4168, 4256, 4266, 4286, 4293, 4312, 4353, 4360, 4368, 4394, 4422, 4449, 4500, 4510, 4548, 4555, 4575, 4594, 4600, 4612, 4629, 4646, 4650, 4660, 4712, 4726, 4742, 4796, 4807, 4874, 4932, 4935, 4947, 4954, 4980, 4990.

Some larger examples :