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Search a number
admirable n.  and  unprimeable n.

First numbers that belong to both sets:

532, 534, 894, 1074, 1146, 1148, 1266, 1338, 1504, 1506, 1686, 2044, 2324, 2406, 2480, 2492, 2514, 2586, 2828, 2946, 3052, 3054, 3230, 3246, 3282, 3426, 3472, 3668, 3786, 3892, 3954, 4030, 4038, 4062, 4146, 4314, 4434, 4614, 4844, 4854, 4926, 5068, 5456, 5466, 5946, 6186, 6234, 6412, 6414, 6435, 6748, 7086, 7278, 7374, 7386, 7422, 7425, 7734, 7806, 8394, 8454, 8634, 8876, 9112, 9268, 9354, 9654, 9772, 10014, 10052, 10444, 10446, 10806, 11202, 11226, 11228, 11334, 11406, 11408, 11452, 11874, 11994, 12066, 12068, 12124, 12174, 12292, 12318, 12594, 12666, 12774, 13074, 13076, 13278, 13434, 13506, 13602, 13736, 13748, 13866, 13972, 14046, 14262, 14334, 14358, 14394, 14588, 14644, 14646, 14802, 15596, 15654, 15702, 15942, 15988, 16026, 16156, 16158, 16374, 16734, 16772, 16806, 16914, 17142, 17272, 17274, 17276, 17454, 17634, 17778, 17814, 17816, 17948, 17994, 18004, 18006, 18246, 18294, 18474, 18654, 18726, 18822, 18844, 19326, 19348, 19518, 19626, 19628, 19878, 19986, 20132, 20154, 20226, 20766, 20814, 20994, 21234, 21308, 21354, 21426, 21532, 21954, 22206, 22314, 22316, 22602, 22988, 23106, 23212, 23286, 23466, 23514, 23574, 23658, 23934, 24052, 24294, 24306, 24342, 24384, 24666, 24668, 24724, 24774, 24834, 24836, 25062, 25206, 25314, 25386, 25508, 25518, 25554, 25782, 26034, 26288, 26526, 26742, 27114, 27138, 27188, 27356, 27498, 27726, 27834, 27978, 28074, 28146, 28252, 28326, 28338, 28364, 28374, 28506, 28588, 28734, 28986, 29092, 29372, 29514, 29658, 29706, 29708, 29932, 29994, 30066, 30126, 30234, 30354, 30486, 30548, 30604, 30606, 31002, 31026, 31362, 31422, 31444, 31612, 31638, 31674, 31782, 31938, 32106, 32128, 32228, 32284, 32286, 32394, 32514, 32760, 32826, 32874, 32898, 33006, 33068, 33126, 33232, 33236, 33438, 33834, 33846, 33906, 33954, 34076, 34098, 34134, 34206, 34244, 34412, 34446, 34926, 34972, 35034, 35166, 35214, 35216, 35634, 35650, 35718.

Some larger examples :