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odious n.  and  truncatable prime

First numbers that belong to both sets:

2, 7, 13, 31, 37, 47, 59, 67, 73, 79, 97, 137, 167, 173, 223, 233, 239, 283, 313, 367, 379, 397, 443, 613, 617, 647, 653, 719, 733, 743, 823, 883, 947, 953, 967, 997, 1367, 1373, 2113, 2137, 2339, 2383, 2647, 2939, 3119, 3313, 3373, 3467, 3547, 3613, 3617, 3673, 3733, 3793, 3853, 3947, 3967, 4283, 4373, 4523, 4643, 5113, 5167, 5347, 5647, 5683, 5743, 6317, 6337, 6367, 6373, 6397, 6547, 6673, 6947, 6967, 7331, 7333, 7393, 7823, 7853, 7883, 8167, 8317, 8467, 8647, 9137, 9283, 9337, 9397, 9467, 9547, 9613, 9743, 12347, 12953, 13967, 16547, 18443, 21283, 23167, 23339, 24547, 24967, 26113, 26317, 26947, 27673, 31379, 32467, 32647, 32797, 33347, 33613, 34283, 34337, 36353, 36373, 36653, 36997, 37339, 37643, 38317, 39397, 42467, 42797, 42953, 43313, 43613, 43853, 45197, 45953, 48353, 48647, 49547, 51283, 51613, 56113, 56197, 56983, 57283, 57853, 59393, 59399, 59743, 61223, 61283, 61613, 62467, 62617, 62683, 63467, 63617, 63823, 63853, 64283, 64937, 65647, 66337, 66653, 67883, 68443, 69337, 72383, 72617, 72797, 73643, 73939, 75683, 76367, 76673, 78167, 78467, 81283, 83617, 84673, 84967, 86353, 91823, 91997, 92383, 92467, 92647, 93967, 94547, 96823, 96997, 98317, 99643, 121523, 132647, 133967, 139397, 162683, 163853, 181283, 184523, 184967, 187547, 192347, 192383, 195443, 196337, 213613, 215443, 231223, 233617, 233993, 234673, 236653, 236947, 239933, 242797, 243613, 261223, 264283, 266947, 272383, 273613, 275167, 276673, 276883, 279337, 291367, 291373, 296353, 299137, 318443, 326113, 326947, 327673, 327823, 332467, 338167, 343313, 345953, 348353, 357283, 362137, 362347, 363313, 364373, 366173, 367547, 368443, 373379, 373393, 375743, 378167, 378317, 384673, 387853, 391823, 392347, 392383, 396997, 397283, 397547, 398467, 399173, 399643, 424547, 427883, 432797, 433967, 439883, 453617, 454547, 459467, 462467, 463313, 466373, 481373, 492467, 493967, 496997, 498467, 516673, 516883, 536947.

Some larger examples :