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hex n.  and  odious n.

First numbers that belong to both sets:

1, 7, 19, 37, 61, 91, 127, 217, 271, 331, 397, 631, 721, 817, 919, 1027, 1261, 1387, 1519, 1657, 1801, 1951, 2269, 2437, 3169, 3367, 3571, 3781, 3997, 4219, 4681, 4921, 5167, 5419, 5677, 6211, 6769, 7057, 7351, 7651, 8269, 9241, 9577, 10621, 11347, 11719, 12097, 12481, 12871, 13267, 14077, 15769, 16207, 16651, 17101, 18019, 18487, 18961, 19441, 20419, 21421, 21931, 22447, 22969, 23497, 24571, 25117, 26227, 27937, 28519, 29107, 31519, 32137, 32761, 34669, 35317, 36631, 37297, 38647, 40717, 42841, 43561, 46501, 49537, 50311, 51091, 52669, 53467, 54271, 55081, 55897, 56719, 58381, 60067, 60919, 62641, 63511, 65269, 66157, 67051, 67951, 68857, 69769, 71611, 75367, 77281, 78247, 82171, 84169, 85177, 86191, 87211, 88237, 90307, 92401, 99919, 103231, 104347, 105469, 106597, 107731, 108871, 110017, 111169, 112327, 113491, 114661, 117019, 118207, 119401, 121807, 125461, 127927, 129169, 131671, 132931, 134197, 135469, 140617, 144541, 145861, 148519, 149857, 152551, 153907, 155269, 156637, 160777, 162169, 167797, 169219, 173521, 177877, 183769, 186751, 188251, 189757, 192787, 194311, 195841, 197377, 198919, 200467, 203581, 205147, 206719, 209881, 213067, 214669, 217891, 222769, 224407, 226051, 229357, 234361, 241117, 242821, 246247, 249697, 251431, 253171, 254917, 258427, 260191, 261961, 263737, 265519, 267307, 269101, 270901, 272707, 278161, 281827, 283669, 289231, 292969, 294847, 296731, 298621, 304327, 306241, 308161, 310087, 312019, 313957, 317851, 319807, 323737, 325711, 327691, 339697, 343747, 347821, 349867, 351919, 353977, 356041, 360187, 368551, 370657, 372769, 374887, 377011, 381277, 383419, 385567, 389881, 392047, 396397, 400771, 402967, 409591, 414037, 416269, 425257, 427519, 432061, 443521, 445831, 448147, 450469, 455131, 459817, 464527, 466891, 469261, 495727, 498169, 503071, 510469, 512947, 517921, 520417, 525427, 527941, 530461, 538057, 548269, 550837, 553411, 555991, 558577, 561169, 576847, 579481, 590077, 592741, 598087, 606151, 608851, 619711, 622441, 627919, 647281, 650071, 652867, 655669, 664111, 672607, 678301.

Some larger examples :