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semiprime  and  triangular n.

First numbers that belong to both sets:

6, 10, 15, 21, 55, 91, 253, 703, 1081, 1711, 1891, 2701, 3403, 5671, 12403, 13861, 15931, 18721, 25651, 34453, 38503, 49141, 60031, 64261, 73153, 79003, 88831, 104653, 108811, 114481, 126253, 146611, 158203, 171991, 188191, 218791, 226801, 258121, 269011, 286903, 351541, 371953, 385003, 392941, 482653, 497503, 518671, 597871, 665281, 703891, 721801, 736291, 765703, 822403, 853471, 869221, 873181, 933661, 954271, 1034641, 1056331, 1104841, 1159003, 1309771, 1314631, 1373653, 1537381, 1660753, 1755001, 1817371, 1869211, 1987021, 2035153, 2053351, 2077741, 2126953, 2201851, 2284453, 2434321, 2741311, 2992681, 3022111, 3059101, 3270403, 3324331, 3363121, 3913003, 3971971, 4082653, 4142881, 4212253, 4255903, 4388203, 4495501, 4567753, 4686391, 4862521, 5013361, 5128003, 5176153, 5292631, 5489641, 6008311, 6186403, 6561253, 6969511, 7138531, 7229503, 7459453, 7787431, 8026021, 8086231, 8231653, 8317081, 8514001, 8563591, 8725753, 9067411, 9080191, 9131401, 9169903, 9493903, 9863461, 10335331, 10403641, 10679131, 10944181, 11056753, 11455291, 11512801, 12095821, 12169711, 12890503, 12936241, 12997351, 13012651, 13073941, 13694761, 14507191, 14571901, 14652991, 14783203, 15028903, 15160771, 15576571, 15896341, 16253551, 16857721, 17278381, 17561701, 17632891, 18225703, 18280081, 18443701, 18736381, 18809911, 19328653, 20081953, 20234341, 20310751, 21770101, 22028203, 22167811, 22187791, 22569121, 22974031, 22994371, 23300551, 23794651, 24377653, 24482503, 24904153, 25052581, 25822891, 26017291, 26255881, 27331921, 27509653, 27956503, 28294003, 28406953, 28565461, 28929421, 29203903, 29664253, 29849401, 30058381, 30595753, 31470211, 32308741, 32429431, 32817151, 33182731, 33796531, 34590403, 34890481, 35469253, 35798491, 36307981, 36487153, 37649503, 37831951, 37962541, 38250631, 38566153, 38882971, 39547171, 40163203, 40621591, 41710411, 42149971, 42702661, 43036003, 44807311, 45950491, 46094401, 46672291, 47253781, 47458153, 48191653, 48398041, 48871441, 49019851, 49735351, 50065021, 50788081, 51030253, 51638203, 53390611, 53483653, 53638903, 54637831, 54731953, 55740961, 56248921, 56887111, 58303801, 58725703, 58986091, 59214403, 60033403, 60527503, 61754941, 62289541, 63602281, 64042903, 65236753, 65923903, 66096253, 68182003, 68427451, 68462551, 69696721, 72884701, 73283671, 73902403, 74450503, 74743651, 74927161, 75184453, 75663451, 76218031, 77146831, 77295961, 77594653, 78456601, 78606991, 78644611, 78795181, 79398901, 79966981, 80118811, 80918281, 81376903, 82452061, 82606231, 83185651, 84272653, 85053403, 85719871, 85837753, 86152501, 86625703, 89532271, 90014653, 91429003, 93591721, 95199301, 96904081, 97071211, 97531561, 99214741.