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centered heptagonal n.  and  pernicious n.

First numbers that belong to both sets:

22, 148, 253, 316, 386, 463, 638, 841, 953, 1072, 1618, 1772, 1933, 2101, 2276, 2647, 2843, 3697, 3928, 4411, 4663, 4922, 5461, 6028, 6931, 7246, 8576, 9283, 10781, 11572, 12391, 13672, 14113, 14561, 15016, 16423, 19951, 21022, 22681, 23248, 26188, 28036, 29947, 31256, 33272, 35351, 39698, 40447, 44297, 49148, 50821, 53383, 54251, 57793, 58696, 61447, 65213, 66172, 67138, 68111, 72073, 78226, 82468, 85723, 91288, 92422, 95866, 99373, 100556, 106576, 111518, 114031, 115298, 124363, 127016, 131048, 132406, 133771, 135143, 136522, 139301, 149248, 153616, 155086, 158047, 164053, 165572, 176401, 179558, 182743, 184346, 187573, 194111, 199088, 200761, 214397, 219626, 224918, 230273, 232072, 237511, 239338, 244861, 246716, 250447, 252323, 257993, 259897, 263726, 271468, 273421, 279322, 287288, 289297, 295366, 303556, 307693, 311858, 313951, 318158, 320272, 322393, 324521, 326656, 339613, 346186, 361768, 366283, 368551, 375397, 377693, 386947, 389278, 396313, 398672, 403411, 417796, 420218, 422647, 425083, 427526, 444823, 447322, 452341, 454861, 459922, 462463, 475273, 483043, 485647, 493501, 501418, 514753, 520136, 522838, 530986, 533716, 567022, 569843, 581197, 584053, 615931, 621818, 630701, 639647, 642643, 651673, 654697, 657728, 679141, 694646, 719818, 722996, 732572, 751913, 755161, 761678, 771506, 784708, 818203, 848947, 859321, 866272, 876751, 887293, 905003, 919297, 922888, 933703, 937322, 940948, 944581, 970208, 973897, 977593, 981296, 988723, 992447, 996178, 999916, 1011172, 1014938, 1018711, 1033873, 1037681, 1041496, 1045318, 1049147, 1080031, 1083923, 1103488, 1143143, 1147147, 1155176, 1159201, 1163233, 1167272, 1175371, 1187572, 1191653, 1195741, 1199836, 1203938, 1212163, 1216286, 1228697, 1232848, 1257901, 1278971, 1300216, 1304486, 1308763, 1347571, 1360633, 1373758, 1391356, 1395773, 1400197, 1409066, 1422422, 1431361, 1440328, 1444822, 1453831, 1490147, 1503881, 1517678, 1522291, 1536172, 1540813, 1545461, 1550116, 1554778, 1568806, 1573496, 1592326, 1597051, 1611268, 1625548, 1635103, 1654297, 1668766, 1678447, 1693021, 1697893, 1717451, 1722358, 1732193, 1751947, 1766836, 1806848, 1816921, 1832083, 1847308, 1857493, 1862596, 1872823, 1883078, 1888216, 1893361.

Some larger examples :