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amenable n.  and  Curzon n.

First numbers that belong to both sets:

1, 5, 9, 21, 29, 33, 41, 53, 65, 69, 81, 89, 105, 113, 125, 141, 153, 165, 173, 189, 209, 221, 233, 245, 249, 261, 273, 281, 285, 293, 309, 321, 329, 341, 345, 369, 393, 405, 413, 429, 441, 453, 473, 485, 509, 525, 545, 561, 581, 585, 593, 629, 641, 645, 653, 713, 725, 729, 741, 749, 761, 765, 785, 789, 809, 813, 833, 849, 861, 873, 893, 905, 933, 953, 965, 989, 993, 1001, 1005, 1013, 1041, 1049, 1065, 1089, 1101, 1121, 1125, 1133, 1169, 1173, 1185, 1205, 1229, 1233, 1265, 1269, 1289, 1329, 1341, 1349, 1353, 1365, 1401, 1409, 1421, 1425, 1469, 1481, 1485, 1505, 1509, 1533, 1541, 1581, 1593, 1601, 1625, 1629, 1649, 1653, 1661, 1665, 1673, 1685, 1733, 1745, 1749, 1769, 1773, 1785, 1821, 1829, 1845, 1869, 1889, 1901, 1925, 1953, 1961, 1965, 1973, 2001, 2009, 2013, 2025, 2045, 2049, 2069, 2105, 2109, 2121, 2129, 2141, 2169, 2181, 2225, 2241, 2253, 2261, 2273, 2301, 2321, 2325, 2345, 2361, 2393, 2465, 2493, 2501, 2505, 2525, 2529, 2549, 2553, 2573, 2585, 2589, 2613, 2661, 2673, 2693, 2709, 2721, 2741, 2753, 2765, 2781, 2825, 2829, 2841, 2889, 2913, 2921, 2925, 2933, 2961, 2969, 2993, 3005, 3021, 3033, 3045, 3065, 3081, 3101, 3105, 3149, 3161, 3189, 3213, 3225, 3245, 3273, 3281, 3285, 3309, 3329, 3345, 3381, 3389, 3401, 3413, 3441, 3449, 3453, 3473, 3485, 3509, 3513, 3521, 3593, 3605, 3609, 3621, 3641, 3653, 3665, 3705, 3725, 3729, 3749, 3753, 3761, 3773, 3801, 3821, 3845, 3849, 3861, 3933, 3941, 3953, 3981, 4005, 4029, 4061, 4073, 4085, 4089, 4109, 4121, 4145, 4181, 4193, 4209, 4221, 4233, 4269, 4281, 4313, 4349, 4353, 4365, 4373, 4389, 4401, 4409, 4433, 4461, 4481.

Some larger examples :