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a-pointer prime  and  pernicious n.

First numbers that belong to both sets:

11, 13, 103, 181, 631, 701, 1153, 1171, 1801, 1933, 2017, 2053, 2143, 2213, 2521, 2633, 3041, 3373, 3469, 4231, 5281, 5333, 5717, 6301, 7043, 7333, 9241, 10313, 11321, 11657, 12553, 12601, 13729, 15107, 15121, 17011, 17123, 18061, 18313, 19141, 20129, 20431, 21713, 22921, 23173, 29311, 31547, 32203, 33013, 33091, 33301, 33413, 33811, 36319, 36353, 37123, 37321, 39521, 40543, 41117, 41131, 41243, 42307, 44101, 45061, 45139, 46703, 48541, 49957, 50111, 50311, 50513, 52223, 55127, 55291, 56999, 60413, 60703, 66763, 68611, 70249, 71039, 72229, 72623, 73651, 74027, 74531, 75583, 75941, 77291, 79907, 82051, 82507, 82729, 85061, 100333, 100403, 100649, 100801, 100913, 101183, 101363, 101383, 101411, 101503, 102913, 103291, 110051, 110237, 110251, 110543, 111467, 112459, 112543, 114031, 114451, 114691, 115201, 117223, 117731, 118471, 121453, 122041, 123017, 123127, 123169, 123457, 123503, 123833, 127219, 130099, 130183, 131221, 131591, 133403, 135241, 136277, 137089, 139313, 140689, 141121, 146449, 147031, 149033, 150503, 151357, 151609, 151939, 154459, 154523, 155047, 155627, 157841, 160603, 161017, 161071, 161611, 162229, 162391, 163367, 164209, 164627, 173573, 174121, 175081, 175573, 175601, 177511, 178039, 188801, 192347, 196051, 199049, 200257, 202639, 204679, 204947, 205081, 205201, 207199, 208963, 210263, 210283, 210643, 210739, 211231, 211543, 213097, 215329, 218047, 220411, 225241, 227131, 227951, 229283, 230779, 231031, 231923, 232171, 232571, 235369, 236407, 237581, 240101, 240743, 241229, 241517, 242747, 245593, 246251, 248543, 253613, 255217, 256661, 257921, 260419, 260893, 260921, 261281, 264839, 271501, 272933, 273569, 274403, 276151, 282349, 291701, 300007, 301057, 301471, 302443, 303073, 303097, 305101, 307451, 307969, 309037, 310363, 311137, 312253, 313087, 318107, 318349, 321631, 323419, 324223, 324403, 326063, 326119, 330703, 332053, 338497, 338927, 341879, 345019, 351061, 355111, 355171, 360023, 360197, 363989, 365903, 365941, 368551, 371191, 372943, 375283, 380461, 382331, 382429, 384113, 391579, 394291, 396323, 400093, 400109, 401179, 401287, 401311, 401917.

Some larger examples :