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Hogben n.  and  Moran n.

First numbers that belong to both sets:

21, 111, 133, 2353, 7833, 11991, 13111, 14521, 15751, 22953, 34411, 37443, 39007, 40201, 61257, 72093, 89103, 96411, 115941, 141001, 146307, 155631, 162813, 172641, 209307, 291061, 293223, 311923, 365421, 401323, 474033, 503391, 533631, 691393, 713181, 945757, 973183, 1001001, 1009021, 1025157, 1093071, 1111971, 1137423, 1148113, 1323651, 1370071, 1372413, 1443603, 1652511, 2026353, 2236521, 2336313, 2600157, 2684683, 2987713, 3170181, 3245403, 3835723, 4131057, 4249783, 4303551, 4320163, 4750221, 5123433, 5398653, 5557807, 5671543, 5926791, 6956407, 6972241, 7078261, 7576257, 7792473, 8199633, 8303043, 8523481, 9366661, 10001407, 10352307, 10702713, 11052301, 11098893, 11461611, 11543007, 11604243, 12330633, 12415053, 13166013, 13231407, 13894257, 14261953, 14413413, 15292011, 15464557, 15645981, 17152023, 17276493, 18970381, 19040133, 19276491, 19913907, 20003257, 20200531, 20236503, 21192213, 21284383, 22283121, 22443907, 22795851, 23741257, 23926773, 24319693, 24388783, 25025007, 25537863, 27483807, 27894243, 30090711, 30233503, 31019331, 31747591, 31792683, 34392361, 34521501, 34945833, 36018003, 36126111, 37033311, 37693461, 37767171, 39708903, 40011951, 41351331, 43197757, 43421511, 43540203, 44695911, 45299631, 46233201, 47478991, 50473921, 50758501, 52743907, 53428791, 58775223, 59020807, 60489507, 60582873, 60941443, 63067423, 64296343, 64907193, 65375311, 67002411, 67445157, 68252383, 68865103, 72564843, 73865431, 74502793, 77413603, 78774501, 79343557, 85738341, 86443507, 86573721, 87300993, 88651641, 88858903, 92477073, 93867033, 93983331, 95384523, 99390931.