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odious n.  and  weak prime

First numbers that belong to both sets:

7, 13, 19, 31, 47, 61, 73, 103, 109, 131, 151, 167, 181, 193, 199, 229, 233, 241, 271, 283, 313, 409, 421, 433, 443, 463, 491, 577, 601, 647, 661, 677, 709, 743, 761, 823, 829, 859, 883, 911, 919, 941, 953, 971, 997, 1021, 1033, 1039, 1051, 1063, 1069, 1109, 1129, 1153, 1171, 1193, 1201, 1231, 1259, 1279, 1291, 1321, 1327, 1373, 1453, 1459, 1483, 1493, 1531, 1571, 1583, 1609, 1627, 1669, 1709, 1759, 1789, 1831, 1933, 1951, 1979, 1999, 2017, 2029, 2099, 2113, 2131, 2143, 2161, 2207, 2213, 2243, 2269, 2273, 2297, 2311, 2341, 2351, 2383, 2441, 2447, 2477, 2543, 2551, 2557, 2621, 2633, 2663, 2693, 2731, 2753, 2777, 2843, 2861, 2887, 2917, 2927, 2939, 2957, 3023, 3041, 3083, 3121, 3169, 3209, 3229, 3253, 3271, 3301, 3323, 3331, 3361, 3373, 3391, 3413, 3463, 3469, 3517, 3529, 3547, 3559, 3583, 3593, 3617, 3623, 3673, 3709, 3779, 3803, 3833, 3853, 3881, 3889, 3919, 3931, 3947, 3967, 4007, 4021, 4051, 4057, 4079, 4093, 4099, 4111, 4129, 4139, 4159, 4219, 4231, 4243, 4261, 4273, 4297, 4339, 4363, 4373, 4483, 4519, 4523, 4603, 4639, 4643, 4663, 4723, 4759, 4789, 4793, 4801, 4831, 4909, 4969, 5003, 5011, 5023, 5059, 5101, 5119, 5179, 5237, 5281, 5333, 5399, 5419, 5573, 5591, 5641, 5659, 5717, 5743, 5791, 5827, 5851, 5869, 5881, 6079, 6091, 6101, 6121, 6151, 6199, 6203, 6271, 6277, 6287, 6301, 6329, 6343, 6361, 6397, 6427, 6451, 6529, 6553, 6607, 6619, 6661, 6679, 6709, 6719, 6781, 6803, 6833, 6871, 6911, 6949, 6961, 6971, 7019, 7027, 7043, 7079, 7129, 7159, 7213, 7219, 7253, 7309, 7333, 7351, 7369, 7417, 7459, 7541, 7561, 7591, 7691, 7727, 7759, 7853, 7879, 7883, 7907, 7951, 7963, 8011, 8059, 8089, 8101, 8123.

Some larger examples :