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congruent n.  and  plaindrome

First numbers that belong to both sets:

5, 6, 7, 13, 14, 15, 22, 23, 24, 28, 29, 34, 37, 38, 39, 45, 46, 47, 55, 56, 69, 77, 78, 79, 88, 111, 112, 116, 117, 118, 119, 124, 125, 126, 127, 133, 134, 135, 136, 137, 138, 145, 148, 149, 156, 157, 158, 159, 166, 167, 188, 189, 199, 222, 223, 224, 226, 229, 237, 238, 239, 244, 245, 246, 247, 248, 255, 257, 269, 277, 278, 279, 299, 333, 334, 335, 336, 344, 348, 349, 357, 358, 359, 366, 367, 368, 369, 389, 399, 444, 445, 446, 447, 448, 455, 457, 468, 469, 477, 478, 479, 557, 558, 559, 566, 567, 568, 589, 599, 668, 669, 677, 678, 679, 689, 777, 788, 789, 799, 888, 889, 999, 1111, 1112, 1113, 1116, 1117, 1118, 1119, 1122, 1125, 1126, 1127, 1133, 1134, 1135, 1136, 1144, 1145, 1146, 1148, 1149, 1155, 1157, 1158, 1159, 1166, 1167, 1169, 1178, 1189, 1199, 1222, 1223, 1224, 1229, 1233, 1236, 1237, 1238, 1239, 1244, 1245, 1246, 1247, 1248, 1249, 1255, 1268, 1269, 1277, 1278, 1279, 1333, 1334, 1335, 1336, 1339, 1344, 1346, 1349, 1357, 1358, 1359, 1366, 1367, 1368, 1379, 1389, 1399, 1445, 1446, 1447, 1449, 1455, 1468, 1469, 1477, 1478, 1479, 1488, 1556, 1557, 1558, 1559, 1566, 1567, 1588, 1589, 1599, 1666, 1669, 1677, 1678, 1679, 1688, 1788, 1789, 1799, 1888, 1999, 2222, 2223, 2228, 2229, 2236, 2237, 2238, 2239, 2244, 2245, 2246, 2247, 2249, 2255, 2256, 2257, 2268, 2269, 2277, 2278, 2279, 2288, 2333, 2334, 2335, 2337, 2349, 2356, 2357, 2358, 2359, 2366, 2367, 2368, 2379, 2388, 2389, 2399, 2445, 2446, 2447, 2455, 2456, 2469, 2477, 2478, 2479, 2488, 2556, 2557, 2558, 2559, 2566, 2567, 2569, 2588, 2589, 2599, 2669.

Some larger examples :