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nialpdrome  and  unprimeable n.

First numbers that belong to both sets:

200, 320, 322, 510, 530, 532, 620, 622, 840, 842, 844, 2100, 4100, 4300, 4310, 4410, 4430, 4432, 5210, 5310, 5420, 5422, 5540, 5542, 5544, 6400, 6410, 6430, 6432, 6500, 6510, 6530, 6532, 6620, 6622, 6640, 6642, 6644, 7110, 7310, 7400, 7420, 7422, 7440, 7442, 7444, 7610, 7650, 7652, 7654, 7655, 7730, 7732, 7760, 7762, 7764, 7765, 7766, 7770, 7772, 7774, 7775, 7776, 8300, 8330, 8332, 8400, 8550, 8552, 8554, 8555, 8610, 8630, 8632, 8650, 8652, 8654, 8655, 8720, 8722, 8850, 8852, 8854, 8855, 8870, 8872, 8874, 8875, 8876, 9110, 9210, 9300, 9440, 9442, 9444, 9500, 9650, 9652, 9654, 9655, 9700, 9750, 9752, 9754, 9755, 9770, 9772, 9774, 9775, 9776, 9840, 9842, 9844, 9860, 9862, 9864, 9865, 9866, 9910, 9950, 9952, 9954, 9955, 9980, 9982, 9984, 9985, 9986, 9988, 9990, 9992, 9994, 9995, 9996, 9998, 11100, 20000, 21110, 22200, 22210, 30000, 31000, 31100, 31110, 32100, 32220, 32222, 33000, 41000, 41100, 42000, 42110, 42210, 43210, 43300, 44000, 44210, 44300, 44310, 44320, 44322, 44330, 44332, 44400, 44420, 44422, 44430, 44432, 50000, 51110, 52110, 52210, 53210, 53220, 53222, 53310, 53330, 53332, 54110, 54200, 54220, 54222, 54300, 55300, 55320, 55322, 55400, 55420, 55422, 55530, 55532, 55550, 55552, 55554, 55555, 60000, 61100, 61110, 62100, 62220, 62222, 63000, 63200, 63220, 63222, 63300, 63320, 63322, 64110, 64200, 64410, 64420, 64422, 64440, 64442, 64444, 65220, 65222, 65310, 65330, 65332, 65500, 66000, 66110, 66200, 66210, 66310, 66320, 66322, 66420, 66422, 66510, 66630, 66632, 66660, 66662, 66664, 66665, 66666, 71000, 71100, 72000, 72110, 72200, 73100, 73110, 73200, 73210, 73220, 73222, 73310, 74000, 74110, 74220, 74222, 74300, 74330, 74332, 74400, 74420, 74422, 74430, 74432, 75000, 75110, 75310, 75410, 75420, 75422, 75440, 75442, 75444, 76110, 76220, 76222, 76310, 76320, 76322, 76410, 76430.

Some larger examples :