Search a number
gapful n.  and  interprime n.

First numbers that belong to both sets:

105, 108, 120, 150, 154, 160, 165, 170, 176, 180, 192, 195, 198, 225, 231, 240, 260, 300, 315, 363, 405, 462, 473, 495, 600, 660, 792, 1020, 1032, 1050, 1056, 1092, 1095, 1100, 1120, 1140, 1152, 1190, 1207, 1215, 1220, 1230, 1278, 1290, 1305, 1313, 1320, 1344, 1370, 1377, 1390, 1425, 1443, 1452, 1456, 1485, 1551, 1575, 1590, 1616, 1620, 1624, 1632, 1660, 1665, 1695, 1728, 1750, 1780, 1785, 1872, 1875, 1904, 1910, 1932, 1950, 1990, 1995, 1998, 2075, 2112, 2121, 2268, 2340, 2349, 2420, 2475, 2541, 2640, 2680, 2688, 2751, 2760, 2772, 2783, 2840, 2900, 2960, 3000, 3030, 3045, 3120, 3150, 3240, 3255, 3300, 3330, 3360, 3390, 3441, 3465, 3480, 3540, 3552, 3600, 3675, 3750, 3774, 3840, 3870, 3885, 3930, 4005, 4128, 4224, 4242, 4360, 4368, 4444, 4600, 4646, 4800, 4815, 5100, 5150, 5184, 5300, 5850, 5900, 6045, 6060, 6300, 6360, 6660, 6771, 6780, 6825, 6960, 6969, 7007, 7140, 7350, 7425, 7488, 7560, 7575, 7630, 7725, 7875, 7878, 7881, 8064, 8075, 8240, 8484, 9000, 9009, 9215, 9360, 9408, 9450, 9494, 9630, 9720, 9797, 9990, 10008, 10023, 10050, 10092, 10096, 10140, 10155, 10217, 10245, 10250, 10256, 10272, 10332, 10335, 10340, 10350, 10380, 10395, 10413, 10455, 10458, 10461, 10470, 10500, 10530, 10545, 10610, 10620, 10635, 10654, 10660, 10665, 10700, 10710, 10736, 10785, 10794, 10815, 10850, 10860, 10864, 10875, 10890, 10897, 10965, 10976, 10990, 10998, 11052, 11070, 11085, 11090, 11115, 11140, 11160, 11172, 11175, 11205, 11325, 11340, 11352, 11376, 11430, 11440, 11445, 11490, 11494, 11500, 11538, 11550, 11565, 11583, 11590, 11595, 11685, 11700, 11718, 11760, 11781, 11810, 11832, 11865, 11892, 11900, 11925, 11930, 11936, 11940, 11970, 11984, 12060, 12072, 12111, 12180, 12200, 12233, 12240, 12252, 12258, 12285, 12312, 12336, 12345, 12360.

Some larger examples :