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arithmetic n.  and  unprimeable n.

First numbers that belong to both sets:

204, 206, 322, 326, 510, 515, 518, 534, 535, 620, 622, 840, 845, 846, 894, 895, 1070, 1074, 1076, 1078, 1135, 1140, 1142, 1145, 1146, 1148, 1262, 1264, 1265, 1266, 1268, 1330, 1334, 1335, 1336, 1338, 1340, 1342, 1345, 1350, 1355, 1356, 1358, 1410, 1412, 1414, 1415, 1416, 1460, 1462, 1465, 1500, 1502, 1504, 1505, 1506, 1508, 1644, 1645, 1646, 1670, 1672, 1674, 1676, 1678, 1685, 1686, 1710, 1715, 1716, 1718, 1760, 1765, 1766, 1790, 1794, 1795, 1796, 1798, 1854, 1855, 1890, 1892, 1894, 1895, 1896, 1925, 1926, 1964, 1965, 1966, 2045, 2046, 2070, 2072, 2075, 2076, 2078, 2102, 2104, 2105, 2108, 2180, 2182, 2184, 2185, 2190, 2195, 2198, 2320, 2322, 2324, 2326, 2364, 2365, 2366, 2400, 2405, 2406, 2408, 2484, 2485, 2486, 2488, 2490, 2492, 2494, 2495, 2496, 2510, 2514, 2515, 2516, 2518, 2562, 2564, 2565, 2566, 2568, 2580, 2582, 2585, 2586, 2588, 2820, 2822, 2825, 2828, 2940, 2942, 2945, 2946, 2948, 2980, 2982, 2985, 3054, 3055, 3058, 3090, 3092, 3094, 3095, 3140, 3142, 3144, 3145, 3154, 3155, 3156, 3158, 3174, 3178, 3230, 3234, 3235, 3236, 3238, 3245, 3246, 3248, 3260, 3262, 3265, 3266, 3282, 3284, 3285, 3286, 3422, 3424, 3425, 3426, 3428, 3470, 3476, 3478, 3485, 3486, 3500, 3502, 3505, 3565, 3566, 3660, 3662, 3664, 3665, 3666, 3668, 3680, 3682, 3685, 3686, 3740, 3742, 3745, 3752, 3755, 3758, 3780, 3782, 3784, 3785, 3786, 3788, 3810, 3812, 3814, 3815, 3818, 3894, 3895, 3896, 3950, 3952, 3954, 3955, 3956, 3958, 3974, 3975, 3976, 3990, 3995, 3998, 4030, 4035, 4038, 4060, 4062, 4064, 4065, 4066, 4085, 4086, 4088, 4102, 4104, 4105, 4140, 4142, 4145, 4146, 4148, 4160, 4164, 4165, 4166, 4180, 4182, 4185, 4186, 4190, 4192, 4195, 4196, 4198, 4302, 4304.

Some larger examples :