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Lynch-Bell n.  and  odious n.

First numbers that belong to both sets:

1, 2, 4, 7, 8, 124, 128, 162, 168, 248, 324, 412, 648, 672, 728, 784, 824, 936, 1236, 1296, 1362, 1368, 1395, 1962, 2184, 3624, 3816, 3924, 4368, 4932, 6132, 6312, 8736, 9126, 9135, 9162, 9864, 17248, 18264, 19368, 21648, 21864, 27384, 31824, 34128, 36792, 39816, 41832, 42168, 43128, 48312, 62184, 64128, 72184, 73164, 73962, 79128, 79632, 81264, 81936, 82416, 84312, 87192, 89136, 89712, 91728, 98136, 123984, 124368, 132648, 139824, 142368, 143928, 146328, 148392, 149328, 164328, 164832, 167328, 167832, 183264, 189432, 192384, 193248, 214368, 216384, 218736, 231648, 231864, 231984, 234168, 234816, 236184, 241368, 243768, 243816, 247968, 263184, 283416, 284136, 293184, 297864, 312648, 316248, 316824, 319248, 319824, 324816, 326184, 329184, 346128, 348192, 348216, 348912, 349128, 361824, 361872, 384192, 384216, 384912, 391248, 416832, 423168, 428136, 428736, 432168, 432768, 432816, 436128, 438192, 438216, 438912, 463128, 468312, 469728, 478296, 481392, 481632, 482136, 483192, 483216, 483672, 486312, 489312, 491328, 498312, 613824, 613872, 623784, 627984, 634872, 641832, 671328, 732648, 732816, 742896, 762384, 768432, 796824, 813624, 814632, 816432, 819432, 831264, 831624, 832416, 834192, 843216, 843912, 846312, 873264, 891432, 914832, 918432, 921384, 927864, 941328, 981432, 1289736, 1369872, 1382976, 1738296, 1863792, 1876392, 1982736, 2138976, 2789136, 2793168, 2831976, 2931768, 2978136, 3186792, 3187296, 3712968, 3796128, 3867192, 3927168, 6139728, 6379128, 6387192, 6389712, 6731928, 6913872, 6971832, 7329168, 7361928, 7392168, 7639128, 7829136, 7839216, 7861392, 7891632, 7892136, 7916328, 8163792, 8219736, 8367912, 8731296, 8796312, 9182376, 9278136, 9283176, 9617328, 9617832, 9678312, 9723168, 9781632, 9782136.