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interprime n.  and  tau n.

First numbers that belong to both sets:

9, 12, 18, 56, 60, 72, 108, 180, 225, 228, 240, 288, 348, 376, 441, 560, 600, 625, 636, 792, 828, 882, 1016, 1044, 1056, 1089, 1152, 1176, 1344, 1476, 1620, 1632, 1668, 1788, 1864, 1884, 2088, 2148, 2340, 2344, 2364, 2601, 2640, 2688, 2696, 2724, 2772, 2892, 2960, 3064, 3120, 3168, 3240, 3252, 3360, 3372, 3528, 3544, 3552, 3600, 3684, 3736, 3852, 4024, 4050, 4128, 4168, 4224, 4236, 4248, 4500, 4548, 4668, 4788, 4824, 4896, 4932, 5280, 5316, 5384, 5520, 5652, 5664, 5796, 5824, 5864, 5868, 6252, 6320, 6376, 6660, 6684, 6828, 6948, 6960, 7016, 7212, 7308, 8028, 8064, 8240, 8292, 8388, 8604, 8628, 8696, 8744, 9012, 9144, 9224, 9360, 9408, 9432, 9504, 9684, 9708, 9736, 9784, 10008, 10068, 10272, 10308, 10332, 10620, 11052, 11340, 11440, 11760, 11892, 11916, 11964, 12024, 12060, 12108, 12240, 12252, 12396, 12612, 12708, 12992, 13040, 13096, 13572, 13680, 13836, 14004, 14076, 14312, 14496, 14676, 14720, 14868, 14976, 15138, 15208, 15324, 15396, 15456, 15464, 15564, 15592, 15648, 15732, 15744, 15948, 16020, 16080, 16240, 16344, 16424, 16452, 16524, 16641, 16696, 17024, 17028, 17096, 17148, 17208, 17748, 17772, 17916, 17988, 18048, 18108, 18132, 18252, 18304, 18540, 18912, 19104, 19212, 19384, 19428, 19452, 19692, 19816, 20004, 20080, 20232, 20344, 20364, 20508, 20640, 20652, 20772, 20808, 20892, 21060, 21064, 21216, 21496, 21600, 21612, 21732, 21840, 21876, 21952, 21984, 22000, 22368, 22536, 22856, 22860, 23040, 23076, 23292, 23336, 23424, 23704, 23832, 23904, 23964, 24036, 24080, 24348, 24372, 24756, 24804, 24960, 24984, 25092, 25281, 25308, 25848, 25932, 26484, 26748, 26844, 26984, 27204, 27256, 27468, 27540, 27776, 28092, 28224, 28544, 28548, 28572, 28692, 28800, 29196, 29292, 29448, 29568, 29844, 30000, 30080, 30232, 30344, 30468, 30480, 30568, 30612, 30640, 30720, 30852, 30960, 31016.

Some larger examples :