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evil n.  and  weakly prime

First numbers that belong to both sets:

294001, 604171, 1062599, 1282529, 3085553, 5152507, 5564453, 6463267, 7204777, 7469789, 7982543, 8090057, 8353427, 9537371, 9931447, 10564877, 14075273, 14151757, 15973733, 16497121, 17412599, 17424721, 18561293, 18953677, 19851991, 20414561, 21668839, 22431391, 23462969, 25081361, 25151927, 25475617, 25556941, 25948847, 26024267, 26521721, 27242179, 27245539, 27425521, 28978889, 29638519, 30915637, 30964013, 31240481, 32524313, 33051769, 34586371, 35319367, 35355923, 36221597, 37095427, 37448137, 38178211, 38530123, 40085977, 40432489, 40812781, 41745331, 41980441, 42145837, 44617561, 44750351, 45420457, 46301219, 46591507, 47263001, 47457367, 47744239, 48143047, 48341959, 48441331, 49259803, 49353841, 50170513, 50413439, 50456519, 50471857, 53355689, 53420963, 53454589, 53751119, 55204889, 55959643, 56485057, 56690071, 56743469, 57013823, 57375139, 58366619, 58572593, 59704529, 60949807, 61089089, 61589579, 62324861, 62552489, 62725253, 63359161, 64085921, 64087411, 64843237, 65029997, 65702393, 66117679, 66640253, 66854549, 67296517, 67715653, 68428379, 68495347, 68970457, 69315427, 70006253, 70850641, 71370853, 72418187, 72504457, 72673213, 73022273, 73644101, 74190419, 74543663, 75374149, 75448801, 75460849, 76456141, 77438461, 77444701, 77511487, 77540017, 77675639, 78050209, 78440119, 79833133, 80054363, 80286407, 80468587, 81434501, 81608981, 81811589, 82542419, 82742243, 83127119, 84083011, 84159917, 84255251, 84487439, 84733919, 85468223, 85478369, 86504879, 87615019, 88551439, 88903379, 89602771, 89819413, 90997241, 92027977, 92305589, 94113781, 94874159, 94912583, 95517517, 95532289, 97069493, 97283321, 97551143, 97864961, 98285017, 98701003, 98750609, 102871081, 103291453, 104097043, 104908273, 107552111, 110548133, 111438259, 111627713, 115610399, 116061419, 117302429, 118121197, 118966829, 119050499, 119075857, 119686943, 122150891, 122773549, 125286191, 126270601, 126517543, 126772411, 127311133, 128824391, 129461279, 130859077, 131739043, 134143837, 134528677, 135272429, 135870139, 136562467, 137083109, 137165071, 137813021, 139281463, 141017011, 141307483, 142095827, 142380013, 143561773, 144442087, 144481273, 144536701, 144988267, 147826829, 149480959, 150971243, 151187611, 151753867, 154477891, 156148427, 156251789, 156303463, 156589987, 156693529, 157101907, 159290381, 161423527, 162066193, 162123869, 163146457, 163482377, 164787449, 165543479, 165600647, 165613871, 165656159, 166374487, 167056709, 167637101, 167753561, 168956971, 169567081, 170880299, 171206471, 171310747, 173050477, 174465541, 174615391, 175164643, 176598493, 176704379, 177911983, 180044797, 181946617, 182386921, 183855059, 184972289, 186000169, 186343193, 187558759, 189895879, 190056833, 191139671, 192855583, 194437163, 194512459, 194846149, 195315619, 196363373, 196389047, 198129871, 198303601, 198764771, 198873523, 199802621, 200875271, 201674041.

Some larger examples :