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a-pointer prime  and  lucky n.

First numbers that belong to both sets:

13, 631, 1801, 1933, 2053, 5449, 6301, 7333, 12553, 13633, 15121, 17011, 22093, 22921, 23173, 23311, 24181, 25771, 29311, 33091, 36319, 43207, 44389, 45139, 47221, 48541, 49081, 50023, 50599, 51871, 54001, 61153, 64189, 70207, 72139, 75583, 89533, 100333, 102061, 102241, 102481, 108139, 108649, 110251, 111751, 112459, 114031, 115201, 118471, 123169, 127219, 135241, 135979, 137089, 140281, 148207, 151609, 153379, 154213, 164023, 166429, 170299, 171007, 174121, 174169, 175081, 175573, 178039, 180391, 192013, 196927, 199153, 200257, 201403, 204301, 205081, 210739, 218401, 222679, 223339, 227131, 229351, 230203, 232171, 233143, 233251, 234511, 235369, 241711, 260893, 270379, 271501, 279451, 287191, 302443, 304609, 308641, 308773, 310363, 316051, 316819, 324223, 326203, 330271, 333049, 334099, 334231, 357241, 363691, 371797, 372943, 400723, 405157, 408019, 409441, 410461, 412171, 412717, 414331, 432511, 442501, 443089, 448741, 453709, 463399, 463579, 467371, 472597, 473383, 473761, 490591, 500809, 501271, 501637, 503233, 506131, 521251, 521503, 546151, 548461, 553933, 557803, 563419, 567031, 570013, 573409, 593083, 593539, 605809, 606091, 611101, 611671, 622051, 623041, 634759, 638269, 646039, 650359, 660103, 664633, 673129, 675271, 684163, 709561, 712303, 718813, 723859, 730033, 753229, 761833, 765673, 781633, 800419, 801061, 801517, 820051, 824701, 830311, 830449, 837853, 850753, 872959, 886129, 893743, 908821, 919081, 921259, 922261, 929431, 932101, 935461, 943321, 976411, 1004461, 1008331, 1012903, 1017061, 1030723, 1030831, 1035061, 1039111, 1041961, 1042243, 1054549, 1057753, 1062379, 1062469, 1068409, 1070149, 1075621, 1118317, 1120459, 1127773, 1131307, 1134421, 1138519, 1170067, 1172179, 1179019, 1181023, 1186699, 1195387, 1201813, 1202221, 1209781, 1218787, 1223161, 1230301, 1231357, 1240159, 1241893, 1242067, 1242151, 1242289, 1250983, 1257463, 1285813, 1300237, 1300501, 1302253, 1304929, 1305919, 1307281, 1312153, 1320091, 1322341, 1331527, 1334371, 1337563, 1354021, 1354207, 1357969, 1371121, 1386703, 1389403, 1390003, 1410781, 1425271, 1426753, 1430419, 1443103, 1443271, 1450819, 1458433, 1508587, 1511569, 1536049, 1543111, 1543441, 1545667, 1561393, 1578469, 1579057, 1580251, 1600201, 1607293, 1610107, 1617661, 1671643, 1682311.

Some larger examples :