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cyclic n.  and  metadrome

First numbers that belong to both sets:

1, 2, 3, 5, 7, 13, 15, 17, 19, 23, 29, 35, 37, 47, 59, 67, 69, 79, 89, 123, 127, 137, 139, 145, 149, 157, 159, 167, 179, 235, 239, 247, 249, 257, 259, 267, 269, 345, 347, 349, 359, 367, 379, 389, 457, 467, 469, 479, 569, 589, 679, 789, 1235, 1237, 1245, 1247, 1249, 1257, 1259, 1267, 1279, 1289, 1345, 1347, 1349, 1357, 1367, 1457, 1459, 1469, 1479, 1489, 1567, 1579, 1589, 1679, 1689, 1789, 2345, 2347, 2357, 2369, 2389, 2459, 2467, 2479, 2489, 2567, 2569, 2579, 2589, 2689, 2789, 3457, 3467, 3469, 3489, 3567, 3569, 3579, 3589, 3679, 3689, 4567, 4569, 4579, 4589, 4679, 4789, 5689, 12347, 12349, 12359, 12367, 12379, 12389, 12457, 12467, 12469, 12479, 12567, 12569, 12589, 12679, 12689, 13457, 13459, 13469, 13479, 13489, 13567, 13569, 13579, 13589, 13679, 13789, 14567, 14569, 14579, 14689, 14789, 15679, 15689, 16789, 23459, 23467, 23469, 23479, 23489, 23567, 23579, 23689, 23789, 24569, 24589, 24679, 24689, 25679, 25789, 34567, 34579, 34589, 34679, 34789, 35689, 35789, 36789, 45689, 45789, 46789, 56789, 123457, 123467, 123469, 123479, 123567, 123569, 123589, 123679, 123689, 124567, 124589, 124679, 124689, 124789, 125689, 125789, 134567, 134569, 134579, 134789, 135679, 135689, 135789, 136789, 145679, 145689, 145789, 146789, 234569, 234589, 234679, 234689, 235679, 235789, 236789, 245689, 245789, 256789, 345679, 345689, 346789, 356789, 1234567, 1234579, 1234589, 1234679, 1234689, 1234789, 1235689, 1235789, 1245679, 1245689, 1246789, 1256789, 1345679, 1345789, 1346789, 1456789, 2345689, 2345789, 2356789.