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self n.  and  semiprime

First numbers that belong to both sets:

9, 86, 121, 143, 187, 209, 299, 323, 334, 411, 413, 446, 501, 514, 591, 626, 681, 703, 749, 771, 793, 815, 817, 905, 951, 973, 995, 1006, 1043, 1111, 1133, 1177, 1199, 1234, 1267, 1313, 1346, 1357, 1379, 1401, 1469, 1502, 1513, 1537, 1603, 1649, 1671, 1717, 1739, 1761, 1829, 1851, 1895, 1906, 1919, 1941, 1963, 1985, 2033, 2066, 2077, 2123, 2167, 2189, 2246, 2257, 2279, 2369, 2391, 2402, 2413, 2426, 2481, 2571, 2582, 2615, 2661, 2705, 2762, 2773, 2841, 2863, 2885, 2918, 2931, 2942, 2986, 3113, 3214, 3247, 3269, 3291, 3326, 3337, 3403, 3427, 3482, 3493, 3561, 3629, 3651, 3662, 3695, 3763, 3785, 3831, 3921, 3998, 4009, 4101, 4169, 4213, 4226, 4237, 4281, 4303, 4393, 4415, 4417, 4439, 4461, 4529, 4562, 4573, 4595, 4619, 4685, 4742, 4786, 4819, 4821, 4843, 4955, 5069, 5091, 5102, 5137, 5249, 5293, 5315, 5317, 5339, 5361, 5383, 5429, 5462, 5473, 5506, 5541, 5585, 5631, 5686, 5721, 5765, 5809, 5833, 5855, 5899, 5921, 5989, 6059, 6081, 6103, 6127, 6193, 6239, 6261, 6283, 6362, 6395, 6406, 6463, 6485, 6518, 6542, 6621, 6722, 6799, 6821, 6889, 6922, 6979, 7071, 7082, 7093, 7115, 7117, 7183, 7251, 7262, 7273, 7295, 7319, 7341, 7363, 7418, 7431, 7453, 7519, 7543, 7609, 7633, 7655, 7666, 7721, 7745, 7778, 7811, 7822, 7835, 7846, 7969, 7991, 8002, 8013, 8061, 8083, 8105, 8129, 8173, 8285, 8318, 8331, 8465, 8509, 8522, 8566, 8621, 8678, 8711, 8735, 8746, 8801, 8891, 8902, 8913, 8926, 8981, 9003, 9014, 9073, 9119, 9242, 9253, 9286, 9365, 9409, 9466, 9523, 9578, 9589, 9611, 9701, 9813, 9881, 9903, 9914, 9938, 9993, 10109, 10379, 10401, 10447, 10537, 10581, 10603, 10649, 10671, 10715, 10717, 10783, 10805, 10851, 10862, 10873, 10895, 10919, 10963, 11099, 11167.

Some larger examples :