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odious n.  and  weakly prime

First numbers that belong to both sets:

505447, 584141, 971767, 1524181, 2017963, 2474431, 2690201, 3326489, 4393139, 5575259, 6173731, 6191371, 6236179, 6712591, 7469797, 7858771, 8532761, 8639089, 9016079, 9608189, 10506191, 11124403, 11593019, 12325739, 14090887, 17412427, 20212327, 21044557, 21089489, 21281479, 21496661, 21717601, 22138349, 22480351, 23228479, 23274191, 25768091, 25872199, 27465103, 27469241, 28046353, 28070047, 29136091, 29348797, 30791767, 34302127, 34349969, 35009671, 35673679, 35954509, 37074487, 39397009, 39689597, 39724417, 40638727, 42120581, 42758917, 43414669, 43432409, 43924399, 43988459, 46031123, 46448719, 48024359, 48384977, 49453847, 50030077, 50592911, 50729603, 51340909, 52127189, 53753587, 53977403, 54048263, 54292081, 54559123, 54868459, 56660599, 57177889, 57980963, 58020581, 58091653, 58107953, 59088739, 59160317, 61552901, 61575539, 62444033, 65040751, 65314439, 65366051, 65947213, 67489091, 67959743, 68030449, 69374167, 69505109, 69912431, 70078549, 70514141, 70717291, 71364053, 71756029, 71760109, 72168857, 72422393, 72519631, 72760297, 73179193, 73440439, 74143801, 74711779, 76297087, 76720291, 76828823, 77250497, 77844287, 78562307, 78712681, 78958211, 79477127, 81397777, 81536501, 82087813, 82319411, 82764371, 82817039, 82892633, 82905047, 83407327, 83610599, 83880829, 85415249, 85637089, 86688269, 87055763, 87303817, 87517271, 88826693, 88948439, 89006641, 89146619, 89473777, 92519951, 92782441, 93573091, 93831383, 95401417, 95663761, 95992103, 97165001, 97353379, 97518247, 97792117, 97994641, 98372203, 98451193, 98643439, 98954621, 99041179, 99157987, 99595919, 99778351, 100447177, 101154751, 101413777, 105217711, 106086811, 106371787, 108903143, 111033269, 111522709, 111974587, 112602443, 112663181, 113130803, 113290007, 116297257, 116321323, 118565423, 122047117, 123892907, 126445639, 128456557, 128885389, 131022547, 132077149, 135085453, 135345391, 136003643, 136240781, 138583811, 139452133, 139806203, 140383207, 141016331, 141187097, 142790317, 143924173, 144232247, 146020961, 146610701, 147846253, 148421633, 148974047, 149411569, 150175379, 154114031, 154377841, 154467277, 155498891, 156394657, 157018483, 157553993, 162417733, 162524249, 162630497, 163655431, 164076173, 164262151, 165862253, 165994513, 169817047, 170448713, 171154673, 172155173, 172535497, 173011789, 173485307, 173854783, 174163679, 175110097, 175489417, 175539191, 175988881, 176582687, 177704491, 178014517, 180455519, 180552809, 181475743, 182363249, 183585973, 183838177, 183875191, 184116337, 185627177, 185823727, 187750883, 188756171, 189525311, 190530629, 192093787, 193837841, 197611483, 197964253, 200410643, 201067729, 202172063, 204677017, 206375471, 207773861, 208017679, 209769991, 210362171, 211848541, 212040557, 212083709, 214374443, 215329753, 216826097, 217870921, 218730991, 219172579, 219438257, 221758003, 221944409, 222626231, 222638237, 222883571.

Some larger examples :