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Curzon n.  and  Ulam n.

First numbers that belong to both sets:

1, 2, 6, 18, 26, 53, 69, 114, 138, 189, 209, 221, 273, 309, 341, 414, 429, 441, 485, 546, 585, 690, 798, 849, 861, 866, 893, 905, 986, 1101, 1125, 1169, 1338, 1509, 1770, 1790, 2010, 2178, 2393, 2486, 2525, 2550, 2589, 2613, 2618, 2630, 2721, 2750, 2921, 3065, 3290, 3390, 3473, 3593, 3605, 3725, 3974, 4118, 4121, 4233, 4365, 4370, 4409, 4470, 4578, 4641, 4646, 4905, 4925, 5018, 5049, 5081, 5250, 5294, 5489, 5858, 6134, 6410, 6633, 6738, 6806, 6894, 6914, 6938, 7041, 7170, 7278, 7434, 7461, 7473, 7478, 7730, 7886, 7950, 8126, 8238, 8370, 8421, 8514, 8553, 8666, 8754, 8873, 8969, 9401, 9765, 10134, 10173, 10305, 10569, 10806, 10850, 11085, 11226, 11234, 11586, 11625, 11774, 11781, 11886, 12189, 12338, 12438, 12614, 12705, 12810, 12873, 13049, 13533, 13958, 14105, 14193, 14298, 14361, 14454, 14474, 14586, 14894, 14901, 14994, 15014, 15278, 15986, 16025, 16206, 16221, 16245, 16289, 16353, 16394, 16421, 16485, 16673, 16746, 16961, 17301, 17474, 17645, 18146, 18149, 18669, 18681, 18750, 18774, 18794, 19094, 19185, 19314, 19334, 19353, 19485, 19590, 19698, 19749, 19854, 20138, 20433, 20441, 20670, 20690, 20805, 21110, 21149, 21218, 21254, 21386, 21494, 21645, 22014, 22185, 22293, 22469, 22530, 22598, 22745, 22833, 22989, 23114, 23238, 23309, 23634, 23849, 23981, 24089, 24365, 24494, 24665, 25293, 25325, 25386, 25494, 25530, 25601, 25706, 25926, 25946, 26073, 26354, 26373, 26378, 26486, 26945, 27006, 27018, 27045, 27414, 27773, 27866, 27893, 27993, 28233, 28406, 28445, 28494, 28538, 28641, 29054, 29073, 29205, 29381, 29481, 29574, 29726, 29733, 29814, 29985, 30053, 30434, 30525, 30605, 30681, 30701, 31001, 31109, 31233, 31326, 31409, 31974, 31998, 32018, 32054, 32186, 32313, 32450, 32514, 32685, 32709, 32990, 33293, 33486, 33726, 33809, 33921, 33965, 34026, 34073, 34085, 34109, 34385, 34610.

Some larger examples :