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lucky n.  and  nude n.

First numbers that belong to both sets:

1, 3, 7, 9, 15, 33, 99, 111, 115, 135, 735, 777, 1155, 1197, 1395, 1575, 1771, 3111, 3171, 3339, 3717, 3915, 5515, 7371, 9135, 9315, 9999, 11535, 13113, 13335, 13515, 13995, 17115, 17535, 19395, 19719, 31311, 31335, 31515, 31773, 33117, 33333, 33993, 35175, 37317, 37737, 51135, 53595, 55335, 55515, 55555, 55935, 57715, 59535, 71379, 73731, 91917, 93339, 93555, 93915, 97335, 99333, 111111, 111115, 111933, 113193, 113319, 113391, 113715, 115335, 117117, 119331, 131139, 131313, 131733, 131775, 131931, 135135, 139797, 171171, 171717, 173733, 177177, 177555, 199395, 311115, 311331, 311355, 311391, 313119, 313173, 315135, 315735, 317331, 319131, 331113, 331119, 333375, 333555, 335355, 357315, 359595, 371175, 373779, 393939, 393993, 395955, 399555, 511155, 513555, 515155, 533535, 535335, 539595, 551515, 553155, 559755, 575575, 593595, 711333, 713979, 717717, 731115, 737331, 753375, 755755, 773955, 777777, 797391, 911115, 919395, 931995, 937377, 939393, 939771, 953955, 955395, 971397, 971775, 973791, 991179, 991935, 993555, 995715, 999117, 1111113, 1111131, 1111555, 1113777, 1113939, 1115155, 1115515, 1115595, 1119393, 1131333, 1131399, 1133133, 1133331, 1133355, 1133595, 1135335, 1137171, 1137339, 1139535, 1151115, 1151955, 1155315, 1155555, 1155735, 1155915, 1171177, 1173711, 1191393, 1195335, 1199133, 1311135, 1311177, 1311333, 1311399, 1315755, 1317393, 1317771, 1319319, 1319355, 1319391, 1331991, 1333131, 1333335, 1333731, 1333773, 1339191, 1339515, 1353555, 1353915, 1355355, 1377999, 1391391, 1393119, 1395135, 1395315, 1511155, 1511595, 1513395, 1513935, 1515135, 1517355, 1531515, 1535355, 1535535, 1539315, 1551115, 1551135, 1555155, 1555335, 1575315, 1711311, 1711773, 1717191, 1733193, 1733319, 1751715, 1771119, 1771371, 1773177, 1775515, 1777111, 1777335, 1793799, 1911339, 1911393, 1911915, 1913355, 1913931, 1931319, 1931391, 1931931, 1939131, 1939311, 1951155, 1953135, 1975995, 1991115, 1993131, 1997919, 3111135, 3111717, 3111993, 3113397, 3113733, 3113775, 3113955, 3117933, 3119139, 3119319, 3119391, 3131313, 3131373, 3131595, 3133131, 3133935, 3135135, 3135555, 3137715, 3139335, 3151155, 3151335, 3153915, 3155535, 3155775, 3159315, 3191193, 3193335, 3199131, 3313395, 3313737, 3315315, 3315555, 3331155, 3331377, 3331713.

Some larger examples :