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pronic n.  and  Smith n.

First numbers that belong to both sets:

2970, 8372, 12656, 16770, 23870, 28392, 33672, 78680, 82082, 87912, 88506, 166872, 183612, 187056, 271962, 365420, 383780, 449570, 566256, 569270, 882660, 979110, 1097256, 1217712, 1284822, 1395942, 1458056, 1460472, 1487180, 1506756, 1558752, 1573770, 1601490, 1655082, 1665390, 1714790, 1759602, 1778222, 1905780, 2156492, 2275572, 2299772, 2394756, 2397852, 2447660, 2577630, 2743992, 2757260, 2760582, 2834172, 2837540, 2844282, 2908730, 2967006, 2973900, 2984256, 3252612, 3299672, 3715256, 3847482, 3855332, 4078380, 4374372, 4395312, 4428920, 4488042, 4573182, 4637562, 4685060, 4780782, 4984056, 5407950, 5647752, 5666780, 5824982, 5858820, 5897612, 5956040, 6068832, 6177710, 6428760, 6819932, 6893250, 6956406, 6961682, 7099560, 7636932, 7848402, 7865220, 7983450, 8188182, 8717256, 8877420, 8925156, 9117380, 9238560, 9329970, 9409556, 9427970, 9656556, 9675210, 9800030, 9950870, 10288056, 10643906, 10787940, 11597430, 11843922, 12344682, 12492690, 12549306, 13129752, 13678902, 13909170, 14565672, 14695722, 15284190, 15511782, 15693482, 15828462, 15852342, 16341806, 16455192, 16887990, 16904432, 16920882, 17143740, 17677820, 17745156, 17787306, 17804180, 18399810, 18408390, 18735912, 18761892, 18796560, 18848622, 18874680, 18883370, 18892062, 18970380, 19285272, 19602756, 19620470, 19789152, 19896060, 19976430, 21367506, 21487860, 22169972, 22529262, 22576752, 23256506, 23478870, 23585592, 24497550, 25085072, 25275756, 25608660, 25821642, 25831806, 25943742, 26599806, 26672060, 28552992, 28756406, 28788590, 29370980, 29555532, 30277506, 30674982, 31668756, 31736322, 32575556, 32689806, 32895960, 33448872, 33599412, 34368906, 34709772, 36306650, 36693306, 36814556, 37289342, 37742592, 37816350, 38198580, 38359442, 38644872, 38682180, 38781756, 38893932, 39394452, 39532656, 39545232, 39860282, 40189260, 40366962, 42347556, 42595202, 42751982, 42987692, 43817780, 44669172, 44695910, 44762790, 44936912, 45880302, 45975180, 46369290, 46737732, 47561712, 47575506, 48198306, 48476406, 48699462, 49526406, 49709550, 50715762, 50886822, 50958182, 51086756, 51948056, 51991310, 53399556, 53677602, 54974810, 56783760, 56964756, 57342756, 57615690, 58453670, 58545452, 58867256, 59575242, 59590680, 59637006, 59683350, 59729712, 60473952, 61661756, 61866090, 63848090, 63976002, 64296342, 65488556, 66593760, 66920580, 67149830, 67806990, 68483900, 68848506, 69280652, 69447222, 69664062, 70098756, 70266306, 70669242, 71918880, 72957222, 73659306, 74054630, 74071842, 74779256, 75698700, 75820556, 75977372, 77642532, 78172122, 78242870, 78526182, 78934340, 79361372, 79628852, 81063012, 82928342, 83896440, 84079730, 84098070, 84446910.

Some larger examples :