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pernicious n.  and  truncatable prime

First numbers that belong to both sets:

3, 5, 7, 13, 17, 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, 3119, 3313, 3373, 3467, 3613, 3617, 3673, 3733, 3793, 3853, 3967, 4283, 4373, 4523, 4643, 5167, 5347, 5647, 5683, 6317, 6337, 6373, 6547, 6673, 6947, 7331, 7333, 7393, 8167, 8317, 8467, 8647, 9137, 9283, 9337, 9397, 9547, 9613, 9743, 12347, 12953, 16547, 18443, 21283, 23167, 24547, 24967, 26113, 26947, 27673, 32467, 32647, 32797, 33347, 33613, 34337, 36353, 36373, 36997, 37643, 43313, 45197, 45953, 49547, 51283, 56983, 57283, 57853, 59393, 59399, 59743, 61223, 61283, 62467, 62683, 63467, 63617, 63823, 63853, 64283, 64937, 65647, 66337, 66653, 67883, 72383, 73643, 73939, 76673, 78467, 83617, 84673, 84967, 86353, 91823, 91997, 92383, 92647, 93967, 96823, 96997, 98317, 121523, 132647, 139397, 162683, 163853, 181283, 187547, 192347, 195443, 196337, 231223, 233617, 233993, 236653, 236947, 239933, 242797, 243613, 261223, 264283, 266947, 272383, 275167, 276673, 279337, 296353, 299137, 318443, 326113, 326947, 327823, 338167, 348353, 357283, 362347, 364373, 366173, 367547, 368443, 378167, 378317, 384673, 387853, 391823, 392347, 397283, 398467, 424547, 427883, 432797, 433967, 439883, 453617, 454547, 466373, 481373, 492467, 493967, 496997, 498467, 516883, 537853, 542467, 542683, 542797, 543313, 566653, 576883, 578167, 579283, 579967, 621997, 626947, 627673, 631223, 632647, 633797, 636653, 638317, 642683, 642797, 642953, 649613, 653617, 673643, 675743, 686197, 691997, 719333, 721283, 723167, 724967, 727673, 727823, 732467, 739391, 739393, 766373, 783137, 789137, 812347, 816547, 816883, 818353, 833347, 834283, 837853, 845197, 846997, 848647, 861613, 867547, 873643, 875683, 878467, 894547, 896353, 912953, 915683, 924967, 933797, 956113, 959467, 961613, 966653, 973823, 979337, 983617, 986113, 995443, 1261223, 1332467, 1516883.

Some larger examples :