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centered heptagonal n.  and  emirpimes

First numbers that belong to both sets:

2458, 3046, 3473, 4166, 15947, 17893, 22681, 31921, 32593, 38221, 41966, 43513, 47503, 49981, 60523, 64261, 73081, 78226, 81397, 90161, 94711, 99373, 102943, 109033, 115298, 121738, 135143, 136522, 144943, 152153, 155086, 164053, 174833, 179558, 181147, 184346, 189197, 192466, 221383, 224918, 243013, 322393, 330947, 335266, 350603, 364022, 493501, 501418, 509398, 514753, 589786, 660766, 663811, 666863, 716647, 735778, 761678, 794683, 831797, 915713, 930091, 937322, 992447, 996178, 1056826, 1080031, 1099561, 1228697, 1245343, 1257901, 1308763, 1351918, 1360633, 1373758, 1417963, 1458346, 1481026, 1522291, 1564123, 1620781, 1635103, 1693021, 1737121, 1776797, 1872823, 1877947, 1960883, 1966126, 2018941, 2226022, 2437366, 2490223, 2888803, 3010897, 3063061, 3135518, 3168733, 3282973, 3330601, 3440753, 3468571, 3496501, 3517522, 3609341, 3723973, 3811123, 3869783, 3899281, 3958613, 3966061, 4536638, 4544611, 4713661, 4770697, 5069443, 5342611, 5403322, 5455633, 5667397, 5837903, 6029297, 6066103, 6289291, 6421346, 6440323, 6478361, 6602758, 6622001, 6660571, 7022653, 7042498, 7142143, 7152146, 7252561, 7313146, 7343533, 7394318, 7424873, 7455491, 7609526, 7619851, 7702703, 7723486, 7744297, 7775566, 7964503, 8381647, 8544922, 8555863, 8577766, 8776153, 8965601, 9021706, 9089263, 9236501, 9362011, 9419341, 9476846, 9511433, 9638791, 9685313, 9778693, 10073393, 10097158, 10156693, 10192498, 10204447, 10264297, 10493323, 10554013, 10651481, 10737133, 10786231, 10798523, 11208086, 11447353, 11574298, 11587031, 11753197, 11817422, 11959333, 12115111, 12167261, 12271897, 12324383, 12376981, 12469297, 12654958, 12721598, 12788413, 12828586, 12909121, 13288283, 13590046, 13631458, 13700618, 13714471, 13853386, 13937071, 14007001, 14035022, 14077106, 14119253, 14274331, 14330933, 14387647, 14859811, 15207991, 15222586, 15442351, 15501221, 15560203, 15678503, 15722981, 15901523, 15916447, 16021111, 16276723, 16367422, 16397711, 16458373, 16748047, 16932301, 16947701, 17055697, 17303833, 17444197, 17491111, 17506763, 17632231, 17758147, 17868691, 17979578, 18027206, 18202381, 18442621, 18571393, 18652103, 18716797, 18765391, 18846521, 19189178, 19221973, 19271218, 19287647, 19304083, 19551463, 19568011, 19634273, 20760811, 20880322, 22500661, 22785533, 22928641, 24625147, 24792538, 24904447, 24997897, 26267011, 26343773, 28378897, 28939751, 30016393, 30242311, 30283478, 30324673, 30407147, 30427783, 30572431, 30613822, 30738163, 30904343, 31070971, 31238047, 31258963, 31405571, 31426543, 31489501, 31678753, 31995433.

Some larger examples :