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centered heptagonal n.  and  sphenic n.

First numbers that belong to both sets:

638, 4922, 6322, 11978, 15478, 16906, 19426, 21022, 23822, 25586, 28666, 35351, 39698, 48322, 53383, 55126, 70078, 80333, 83546, 92422, 98197, 105358, 107801, 132406, 147806, 156563, 162541, 171718, 182743, 209231, 210946, 233878, 248578, 263726, 269522, 281303, 283291, 285286, 291313, 295366, 301498, 311858, 328798, 346186, 352822, 370826, 382306, 386947, 389278, 401038, 408178, 427526, 439846, 447322, 452341, 462463, 480446, 522838, 553022, 558601, 572671, 575506, 598438, 604241, 612998, 615931, 618871, 645646, 685322, 694646, 704033, 713483, 719818, 768223, 771506, 798022, 814822, 848947, 852398, 869758, 880258, 905003, 908566, 944581, 955522, 962851, 966526, 985006, 1003661, 1014938, 1026278, 1033873, 1049147, 1052983, 1111363, 1147147, 1171318, 1179431, 1191653, 1237006, 1241171, 1249522, 1270522, 1317338, 1338898, 1409066, 1422422, 1449323, 1485583, 1490147, 1494718, 1517678, 1531538, 1568806, 1582897, 1592326, 1606522, 1616021, 1630322, 1639891, 1668766, 1683298, 1697893, 1707658, 1771813, 1786786, 1801822, 1816921, 1827022, 1832083, 1842226, 1852397, 1883078, 1898513, 1908838, 1914011, 1924378, 1950418, 1992446, 2003023, 2034922, 2094058, 2121218, 2132131, 2137598, 2148553, 2220443, 2242801, 2344798, 2356271, 2362018, 2408246, 2449063, 2454922, 2496131, 2502046, 2585591, 2609713, 2676626, 2695022, 2744386, 2831851, 2863421, 2946322, 2997926, 3017393, 3030406, 3036923, 3043447, 3115673, 3155426, 3195431, 3222241, 3242422, 3262666, 3337433, 3351118, 3371698, 3406138, 3426886, 3461606, 3482522, 3503501, 3524543, 3538606, 3595138, 3644971, 3687958, 3702343, 3709546, 3745666, 3760163, 3767422, 3840397, 3921478, 4018393, 4048451, 4063522, 4101322, 4146913, 4162166, 4261993, 4285198, 4292947, 4308466, 4331797, 4347386, 4355191, 4433626, 4473106, 4512761, 4552591, 4584581, 4681223, 4729922, 4738063, 4746211, 4754366, 4778873, 4795246, 4819858, 4836301, 4861018, 4869271, 4885798, 4943863, 4952186, 4993906, 5019022, 5103197, 5128586, 5145547, 5154038, 5196598, 5222218, 5239333, 5265058, 5273647, 5333966, 5359922, 5377261, 5429446, 5481883, 5525773, 5543378, 5561011, 5569838, 5614078, 5640706, 5685226, 5712022, 5828866, 5874121, 5883193, 5901358, 5919551, 6001766, 6075322, 6093781, 6103021, 6177193, 6195806, 6270538, 6326881, 6345718, 6374026, 6497422, 6526066, 6573946, 6583543, 6650918, 6699253, 6728338, 6835522, 6855101, 6884522, 6933697, 6973163, 6983047, 7012741.

Some larger examples :