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evil n.  and  Honaker prime

First numbers that belong to both sets:

263, 1049, 1091, 1433, 1913, 2141, 2221, 2707, 2719, 2729, 2803, 3067, 3137, 3631, 4357, 4397, 4703, 5009, 5507, 5701, 5711, 5741, 5843, 5927, 6353, 6653, 6737, 6827, 7013, 7283, 7481, 7523, 9103, 10429, 11071, 11173, 11251, 11821, 12613, 13127, 13367, 13457, 14159, 14923, 15173, 15671, 15761, 15913, 16193, 16451, 17159, 17189, 18013, 18041, 20533, 20543, 21523, 22807, 24019, 25219, 25339, 26189, 26309, 26731, 27277, 29023, 31517, 32009, 32029, 32261, 34259, 34471, 34543, 35227, 35617, 37039, 37463, 37493, 37717, 38711, 40627, 40823, 41333, 41491, 41851, 42323, 42727, 43543, 44221, 46723, 47017, 47147, 47293, 47491, 47623, 48109, 48473, 50417, 51473, 52553, 52691, 52733, 53309, 53923, 54727, 54941, 55049, 55541, 55733, 56807, 57089, 57119, 57301, 57713, 58411, 58921, 59083, 59093, 60601, 61051, 61253, 61703, 62273, 62303, 63313, 64123, 64231, 64817, 65831, 65843, 66923, 67073, 68813, 68903, 69383, 69463, 70039, 70079, 70139, 70489, 72019, 72701, 73009, 73607, 74231, 76423, 77237, 77249, 77611, 77813, 78017, 78163, 78437, 79333, 80657, 82207, 82217, 82813, 83311, 84017, 84313, 85081, 85093, 85133, 86113, 86243, 87013, 87151, 90173, 90469, 90647, 91571, 91583, 92347, 92627, 93097, 94033, 94151, 94327, 95111, 95219, 97103, 97151, 97241, 101929, 102359, 103619, 109103, 109321, 110119, 110813, 111053, 111443, 113327, 114809, 115571, 115601, 115853, 116089, 116159, 118411, 120473, 120709, 122471, 123217, 123701, 123733, 124183, 124193, 124459, 125627, 126691, 127733, 127763, 129113, 129221, 131009, 131371, 131381, 132283, 132383, 132751, 132763, 133153, 133261, 133811, 133831, 134731, 134741, 136217, 136247, 136337, 136531, 139133, 139831, 140143, 141241, 142231, 143291, 144307, 145063, 145441, 145451, 145513, 145543, 145603, 145771, 146323, 152003, 152851, 154073, 155027, 156361, 157243, 158233, 158731, 160507, 160583, 160981, 161149, 161159, 161923, 162119, 162293, 162493, 162553, 162703, 163127, 163363, 163627, 167107, 167443, 170851, 170881, 171553, 171811, 172807, 172933, 174049, 175853.

Some larger examples :