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centered triangular n.  and  interprime n.

First numbers that belong to both sets:

4, 64, 274, 12835, 14554, 16696, 18649, 21064, 24004, 24385, 26734, 35806, 47260, 47794, 49414, 64585, 106534, 123124, 162856, 184276, 186385, 189571, 210376, 222916, 238204, 251536, 277996, 301729, 403264, 496801, 549946, 609610, 656374, 748714, 763624, 815860, 826960, 942085, 963604, 978085, 992674, 1004914, 1042084, 1232614, 1248985, 1329634, 1346635, 1383841, 1398286, 1498501, 1543816, 1549909, 1556014, 1568260, 1661635, 1836514, 1951111, 2122366, 2125936, 2249101, 2448010, 2603710, 2639404, 2764210, 2780524, 2792791, 2984266, 3013960, 3121210, 3292264, 3728029, 3784999, 3876085, 4041784, 4455679, 4851904, 4933174, 5231335, 5497966, 5636674, 5836135, 5991004, 6202684, 6227110, 6288385, 6374674, 6523966, 6700324, 6853360, 7066606, 7435954, 7603879, 7671574, 7719139, 8000686, 8372110, 8407585, 8421796, 8543074, 8751961, 9058960, 9236764, 9393760, 9446386, 9582385, 9772885, 9903496, 10034974, 11118010, 11175256, 11249074, 11298421, 11613460, 11764201, 11882116, 12299449, 12506485, 12680335, 13102471, 13334014, 13839610, 14105134, 14391760, 14484835, 14690656, 15078106, 15741541, 15887656, 15946291, 16034446, 16241086, 16310260, 16568479, 17080876, 17900356, 17931460, 17941834, 18275386, 19079884, 19122706, 19521085, 20054989, 20109874, 20374366, 20919736, 21110629, 21279784, 21631510, 21665701, 22599064, 22891114, 23196835, 23742694, 23838274, 24150235, 24294901, 24331135, 24476341, 24597676, 25295014, 26302735, 26378164, 26998210, 27355756, 27612586, 27754354, 27793081, 28848916, 29483884, 30193024, 30206485, 30408760, 30611710, 30625264, 31183561, 31567735, 31636585, 31774510, 32203984, 32552434, 32678335, 32832544, 32874664, 33382210, 33453010, 34913701, 35102110, 35349256, 35699644, 35728921, 35890159, 36169516, 36331744, 36361279, 36999184, 37537510, 37672699, 38504134, 38915614, 38992054, 39053260, 40802161, 41667256, 41857210, 42989944, 43279519, 44186635, 44349610, 45284296, 45465796, 45747010, 45929434, 46312039, 46930864, 46998010, 47739784, 47875276, 48180835, 48794869, 48846214, 49723210, 50904676, 51114610, 51237271, 51289885, 52170760, 52880860, 53166244, 53775235, 55130860, 56135710, 57297871, 57316414, 57799585, 57985960, 58397041, 58678156, 58753234, 59676835, 59790424, 60340960, 60989629, 61795714, 62065585, 62162110, 63990739, 66763369, 66783385, 66883510, 67304854, 67868704, 68050441, 68171734, 69227464, 69737914, 70250239, 71156485, 71197816, 72047746, 72547606, 73216774, 74184085, 76308835, 76565821, 76801771, 77016586, 77749201, 78268429, 79028734, 79224835, 82573471, 85877884, 86605804, 87955960, 88047874, 89919460, 95460760, 97409134, 99230734.