Question: Twenty two o five, twenty two fifteen, ...

We have the following sequence of natural numbers
5, 7, 11, 13, 15, 19, 21, 29, 31, 33, 37, 39, 45, 55, 57, 63, 83, 85, 87, 91, 93, 99, 109,
 111, 117, 135, 163, 165, 171, 189, 245, 247, 249, 253, 255, 261, 271, 273, 279, 297, 325,
 327, 333, 351, 405, 487, 489, 495, 513, 567, 731, 733, 735, 739, 741, 747, 757, 759, 765,
 783, 811, 813, 819, 837, 891, 973, 975, 981, 999, 1053, 1215, 1459, 1461, 1467, 1485, 1539,
 1701, 2189, 2191, 2193, 2197, 2199, 2205, 2215, 2217, 2223, 2241, 2269, 2271, 2277, 2295,
 2349, 2431, 2433, 2439, 2457, 2511, 2673, 2917, 2919, 2925, 2943, 2997, 3159, 3645, 4375,
 4377, 4383, 4401, 4455, 4617, 5103, 6563, 6565, 6567, 6571, 6573, 6579, 6589, 6591, 6597,
 6615, 6643, 6645, 6651, 6669, 6723, 6805, 6807, 6813, 6831, 6885, 7047, 7291, 7293, 7299,
 7317, 7371, 7533, 8019, 8749, 8751, 8757, 8775, 8829, 8991, 9477, 10935, 13123, 13125,
 13131, 13149, 13203, 13365, 13851, 15309, 19685, 19687, 19689, 19693, 19695, 19701, 19711,
 19713, 19719, 19737, 19765, 19767, 19773, 19791, 19845, 19927, 19929, 19935, 19953, 20007,
 20169, 20413, 20415, 20421, 20439, 20493, 20655, 21141, 21871, 21873, 21879, 21897, 21951,
 22113, 22599, 24057, 26245, 26247, 26253, 26271, 26325, 26487, 26973, 28431, 32805, 39367,
 39369, 39375, 39393, 39447, 39609, 40095, 41553, 45927, ... .

 What is the next term? Is it possible to find that with Maple? The Lagrange polynomial is not taken into account.

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