Search a number
apocalyptic n.  and  unprimeable n.

First numbers that belong to both sets:

620, 624, 840, 842, 844, 846, 848, 894, 898, 1075, 1135, 1136, 1138, 1140, 1265, 1338, 1340, 1345, 1415, 1416, 1418, 1464, 1465, 1466, 1468, 1640, 1642, 1644, 1670, 1674, 1682, 1684, 1688, 1715, 1760, 1762, 1766, 1792, 1798, 1855, 1895, 1896, 1925, 1968, 2045, 2070, 2072, 2074, 2076, 2078, 2105, 2180, 2185, 2186, 2195, 2320, 2322, 2324, 2325, 2326, 2360, 2362, 2364, 2365, 2366, 2368, 2404, 2490, 2492, 2564, 2566, 2586, 2588, 2820, 2822, 2824, 2826, 2828, 2940, 2945, 2946, 2980, 2982, 2984, 2985, 2988, 3054, 3055, 3056, 3094, 3096, 3144, 3146, 3148, 3150, 3154, 3155, 3158, 3170, 3175, 3230, 3232, 3236, 3238, 3242, 3244, 3246, 3248, 3260, 3265, 3266, 3268, 3280, 3282, 3284, 3285, 3286, 3288, 3424, 3426, 3428, 3470, 3478, 3480, 3484, 3485, 3486, 3488, 3500, 3502, 3504, 3562, 3566, 3664, 3668, 3680, 3682, 3684, 3688, 3740, 3744, 3745, 3750, 3752, 3754, 3756, 3758, 3784, 3785, 3786, 3788, 3814, 3815, 3816, 3890, 3892, 3894, 3896, 3898, 3950, 3952, 3954, 3955, 3956, 3958, 3970, 3974, 3976, 3978, 3992, 3995, 3996, 3998, 4035, 4060, 4062, 4080, 4084, 4085, 4088, 4100, 4105, 4108, 4140, 4144, 4145, 4146, 4148, 4162, 4164, 4165, 4180, 4182, 4184, 4185, 4186, 4192, 4194, 4195, 4196, 4198, 4300, 4302, 4304, 4306, 4308, 4310, 4312, 4315, 4316, 4318, 4382, 4385, 4388, 4410, 4412, 4415, 4416, 4418, 4430, 4435, 4438, 4470, 4474, 4475, 4476, 4530, 4532, 4535, 4538, 4550, 4552, 4554, 4555, 4556, 4558, 4570, 4572, 4574, 4576, 4578, 4612, 4614, 4615, 4616, 4680, 4682, 4684, 4685, 4686, 4688, 4710, 4712, 4714, 4715, 4716, 4718, 4740, 4742, 4744, 4745, 4746, 4748, 4760, 4762, 4764, 4765, 4766, 4768, 4770, 4776, 4778, 4820, 4822, 4825, 4826, 4840, 4845, 4846, 4848.

Some larger examples :