Search a number
alternating n.  and  emirpimes

First numbers that belong to both sets:

49, 58, 85, 94, 123, 129, 143, 169, 183, 185, 187, 321, 327, 329, 341, 381, 581, 589, 723, 781, 921, 923, 961, 985, 1214, 1234, 1238, 1418, 1438, 1454, 1658, 1814, 1874, 1894, 3098, 3418, 3694, 3814, 3898, 4109, 4121, 4145, 4181, 4183, 4187, 4307, 4309, 4321, 4369, 4385, 4387, 4541, 4727, 4765, 4781, 4907, 4963, 4981, 5078, 5414, 5438, 5458, 5498, 5674, 5818, 5834, 7034, 7058, 7094, 7274, 7438, 7814, 7834, 7858, 8141, 8143, 8185, 8189, 8309, 8321, 8341, 8345, 8347, 8507, 8545, 8549, 8561, 8587, 8705, 8903, 8909, 8945, 8983, 9014, 9034, 9038, 9098, 9458, 9634, 9818, 10109, 10123, 10129, 10167, 10183, 10327, 10345, 10347, 10349, 10363, 10367, 10523, 10541, 10561, 10705, 10721, 10741, 10747, 10749, 10943, 10967, 10981, 12127, 12169, 12361, 12365, 12367, 12387, 12509, 12523, 12563, 12587, 12701, 12707, 12709, 12761, 12767, 12769, 12783, 12785, 12949, 12989, 14109, 14129, 14165, 14167, 14183, 14185, 14309, 14367, 14383, 14501, 14507, 14509, 14569, 14585, 14701, 14727, 14765, 14789, 14909, 14961, 14989, 16105, 16109, 16123, 16129, 16145, 16307, 16309, 16321, 16327, 16367, 16387, 16501, 16507, 16509, 16565, 16721, 16723, 16743, 16781, 16783, 16909, 16923, 16941, 16969, 18129, 18163, 18167, 18185, 18187, 18365, 18383, 18385, 18509, 18527, 18547, 18563, 18589, 18707, 18709, 18727, 18761, 18769, 18901, 18949, 18965, 18967, 18969, 18983, 30143, 30185, 30329, 30563, 30587, 30787, 30929, 30963, 30967, 32101, 32149, 32161, 32187, 32365, 32501, 32521, 32567, 32583, 32709, 32743, 32761, 32765, 32961, 34103, 34109, 34145, 34163, 34165, 34169, 34187, 34329, 34345, 34387, 34509, 34709, 34723, 34745, 34761, 34769, 34789, 34901, 34907, 34909, 34987, 36143, 36181, 36301, 36327, 36349, 36367, 36503, 36509, 36521, 36581, 36745, 36903, 36969, 36983, 36987, 38101, 38141, 38147, 38341, 38381, 38387, 38389, 38523, 38527, 38585.

Some larger examples :