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decagonal n.  and  interprime n.

First numbers that belong to both sets:

370, 855, 2835, 5967, 10660, 11077, 15190, 17755, 22275, 23485, 26001, 32130, 43785, 46332, 51642, 72495, 77980, 85995, 120582, 130501, 156222, 170775, 175770, 187705, 192940, 201825, 218322, 253260, 269620, 292951, 330912, 351945, 371185, 373626, 403542, 408640, 483372, 517320, 561375, 579501, 645210, 684342, 741751, 755595, 787212, 815860, 904876, 927850, 1006510, 1014552, 1026675, 1055242, 1186465, 1190826, 1248247, 1419076, 1428622, 1467126, 1515976, 1570635, 1605922, 1750990, 1761592, 2002932, 2129410, 2158695, 2170465, 2176362, 2194101, 2302047, 2338605, 2406376, 2431260, 2468826, 2544822, 2570410, 2660976, 2779722, 2887450, 2894251, 2921535, 3045897, 3109050, 3179980, 3201415, 3215745, 3434535, 3591972, 3783997, 4013010, 4061232, 4281795, 4356612, 4465825, 4619275, 4889626, 4951737, 5032170, 5095177, 5131357, 5231512, 5547202, 5814126, 5989032, 6126862, 6306376, 6346620, 6611326, 6881440, 6891937, 6902442, 7114222, 7210567, 7448805, 7580385, 7602427, 7624501, 7802245, 7982037, 8118225, 8152452, 8209657, 8255565, 8347765, 9067626, 9115870, 9249201, 9273547, 9310126, 9395757, 9729720, 9917775, 9980860, 10082212, 10133080, 10222407, 10248001, 10260810, 10376451, 10389340, 11004147, 11163951, 11244285, 11500576, 11582110, 11938752, 12105180, 12146967, 12188826, 12244750, 12385120, 12725272, 12796717, 13026685, 13127940, 13142437, 13390110, 13448722, 13463395, 13610565, 13640095, 13832820, 13907305, 14131960, 14617240, 14678476, 14739840, 15095167, 15204150, 15235360, 15360520, 15517690, 15786715, 15818517, 15866280, 15914115, 16106175, 16218742, 16575076, 16672930, 16787457, 17116837, 17466130, 17583345, 17869642, 17988201, 18022147, 18124177, 18209422, 18690490, 18968202, 19003060, 19125315, 20351376, 20477887, 21061215, 21671352, 22309090, 22574376, 22612402, 22631427, 22745745, 23321655, 23729076, 23846130, 24317226, 24534685, 25092585, 25333605, 25819101, 26002350, 26043160, 26206720, 26247690, 26350255, 26432451, 27240570, 27303237, 27617652, 27807165, 27955012, 28124460, 28145677, 28400905, 28593082, 29000917, 29130307, 29716126, 30022180, 30351835, 30616855, 30860802, 31239715, 31396410, 31463685, 31486126, 31620940, 31959235, 32961951, 33099885, 33307326, 34026805, 34120201, 34213725, 34330810, 34471576, 35132292, 35203455, 35227192, 35393575, 35679715, 35751430, 35823217, 35871115, 35991000, 36183232, 36714510, 37103326, 37371825, 37469701, 37665837, 37813275, 37887102, 37961001, 39303495, 39328576, 39479230, 39604995, 39756177, 40059405, 40262197, 40363785, 41747751, 41799457, 42683355, 43050001, 43444576, 43629327, 43787997, 43867440.

Some larger examples :