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interprime n.  and  self n.

First numbers that belong to both sets:

9, 42, 64, 86, 108, 154, 165, 176, 198, 266, 288, 312, 334, 356, 446, 501, 615, 714, 771, 828, 861, 1032, 1234, 1278, 1313, 1324, 1390, 1425, 1436, 1491, 1537, 1581, 1616, 1660, 1704, 1715, 1728, 1750, 1884, 1895, 1941, 2007, 2022, 2066, 2088, 2112, 2134, 2268, 2290, 2336, 2391, 2470, 2661, 2716, 2751, 3045, 3168, 3225, 3258, 3326, 3337, 3381, 3528, 3640, 3651, 3684, 3730, 3774, 3921, 4024, 4136, 4158, 4248, 4338, 4360, 4382, 4415, 4472, 4518, 4641, 4685, 4731, 4742, 5010, 5203, 5249, 5328, 5418, 5607, 5631, 5664, 5686, 5697, 5787, 5833, 5967, 6070, 6138, 6340, 6384, 6676, 7115, 7128, 7216, 7240, 7341, 7442, 7554, 7677, 7710, 7734, 7835, 7923, 8028, 8421, 8454, 8577, 8757, 8926, 8937, 8970, 9106, 9130, 9321, 9420, 9646, 9736, 9758, 10122, 10155, 10166, 10245, 10256, 10335, 10458, 10660, 10717, 10794, 10906, 11077, 11314, 11325, 11538, 11694, 11718, 11795, 11817, 11964, 11997, 12111, 12146, 12258, 12326, 12427, 12550, 12561, 12616, 12717, 12730, 12741, 12921, 12932, 12976, 13035, 13046, 13101, 13180, 13202, 13303, 13338, 13518, 13584, 13630, 13641, 13674, 14010, 14214, 14484, 14607, 14631, 14910, 14934, 15114, 15138, 15250, 15261, 15294, 15316, 15340, 15441, 15564, 15575, 15744, 15755, 16071, 16205, 16240, 16251, 16396, 16857, 16912, 16980, 17002, 17028, 17050, 17274, 17296, 17397, 17790, 17926, 17948, 18220, 18231, 18242, 18321, 18420, 18510, 18725, 18780, 19243, 19254, 19410, 19590, 19713, 19770, 20110, 20145, 20167, 20325, 20358, 20391, 20481, 20527, 20538, 20672, 20718, 20751, 20953, 21045, 21078, 21146, 21258, 21280, 21315, 21381, 21561, 21594, 22057, 22101, 22158, 22180, 22191, 22281, 22450, 22461, 22641, 22674, 22685, 22797, 23047, 23058, 23137, 23170, 23181, 23260, 23304, 23574, 23596, 23631, 23910, 23923, 24026, 24127, 24160, 24430, 24441, 24665, 24687, 25001, 25104.

Some larger examples :