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Curzon n.  and  gapful n.

First numbers that belong to both sets:

105, 165, 198, 330, 341, 405, 473, 561, 1001, 1005, 1065, 1070, 1110, 1125, 1134, 1170, 1185, 1190, 1274, 1278, 1310, 1349, 1365, 1370, 1425, 1430, 1458, 1485, 1530, 1554, 1590, 1610, 1638, 1650, 1661, 1665, 1694, 1730, 1770, 1785, 1790, 1818, 1845, 1850, 1910, 1965, 2025, 2121, 2225, 2325, 2366, 2525, 2553, 2825, 2925, 2961, 3045, 3150, 3210, 3330, 3390, 3434, 3441, 3458, 3605, 3774, 3810, 3870, 4005, 4365, 4545, 4646, 4773, 4905, 4961, 5150, 5250, 5369, 5445, 5454, 5850, 5858, 6161, 6305, 7098, 7125, 7373, 7425, 7725, 7770, 8181, 8925, 9090, 9270, 9393, 9785, 10005, 10010, 10050, 10130, 10170, 10241, 10305, 10365, 10374, 10469, 10490, 10530, 10550, 10605, 10610, 10638, 10670, 10673, 10794, 10830, 10850, 10901, 10910, 10998, 11025, 11085, 11145, 11190, 11250, 11265, 11270, 11310, 11325, 11354, 11358, 11370, 11430, 11450, 11453, 11505, 11510, 11565, 11625, 11634, 11685, 11774, 11781, 11790, 11870, 11985, 11990, 12030, 12045, 12054, 12090, 12210, 12221, 12258, 12285, 12345, 12390, 12410, 12438, 12585, 12614, 12618, 12630, 12650, 12705, 12770, 12810, 12870, 12881, 12885, 12990, 13010, 13070, 13101, 13125, 13130, 13158, 13185, 13250, 13350, 13365, 13410, 13430, 13490, 13530, 13533, 13545, 13605, 13698, 13770, 13790, 13845, 13850, 13874, 13889, 13950, 13970, 14025, 14090, 14154, 14201, 14205, 14238, 14270, 14310, 14313, 14330, 14385, 14418, 14421, 14450, 14510, 14550, 14565, 14573, 14610, 14625, 14670, 14714, 14750, 14790, 14805, 14861, 14870, 14925, 14958, 14994, 15029, 15045, 15090, 15093, 15105, 15134, 15170, 15318, 15330, 15353, 15390, 15414, 15465, 15470, 15525, 15590, 15678, 15765, 15770, 15870, 15885, 15945, 15990, 16038, 16070, 16125, 16130, 16170, 16181, 16185, 16190, 16245, 16305, 16310, 16394, 16398, 16401, 16470, 16485, 16545, 16590, 16605, 16650, 16665, 16674, 16730, 16790, 16814, 16905, 16913, 16965, 16970, 17030.

Some larger examples :