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congruent n.  and  pancake n.

First numbers that belong to both sets:

7, 22, 29, 37, 46, 56, 79, 92, 137, 154, 191, 254, 277, 301, 326, 352, 407, 436, 596, 631, 742, 781, 821, 862, 904, 991, 1276, 1327, 1379, 1432, 1486, 1541, 1597, 1654, 1831, 2279, 2416, 2486, 2557, 2629, 2702, 2776, 2927, 3004, 3161, 3487, 3742, 3829, 3917, 4006, 4279, 4372, 4466, 4852, 4951, 5254, 5357, 5461, 5566, 5887, 6106, 6556, 6671, 6904, 7022, 7141, 7261, 7382, 7504, 7751, 8002, 8647, 8912, 9046, 9181, 9317, 9454, 9592, 9731, 9871, 10012, 10879, 11326, 11477, 11629, 11782, 12247, 12404, 13204, 13367, 13531, 13696, 13862, 14029, 14197, 14366, 14536, 14879, 15932, 16111, 16472, 16654, 16837, 17021, 17206, 17392, 17767, 18722, 19111, 19702, 19901, 20101, 20302, 20504, 20911, 21116, 22367, 23006, 23221, 23437, 23654, 23872, 24311, 24532, 25652, 25879, 26336, 26566, 26797, 27029, 27262, 27967, 29404, 29647, 30136, 30382, 30629, 30877, 31126, 31879, 33671, 34454, 34717, 34981, 35246, 35512, 36047, 36316, 36586, 37951, 38782, 39061, 39341, 39622, 39904, 40187, 40471, 40756, 41906, 42196, 42487, 43366, 43661, 43957, 44254, 45151, 46972, 47279, 47896, 48206, 48517, 48829, 49142, 50087, 51361, 51682, 52327, 52976, 53302, 53629, 53957, 54286, 54616, 55279, 55612, 55946, 57631, 58654, 58997, 59341, 59686, 60727, 61076, 62836, 63191, 64262, 64621, 64981, 65342, 65704, 66431, 67529, 68636, 69007, 69752, 70126, 70501, 70877, 71254, 71632, 72391, 75079, 75856, 76246, 76637, 77029, 77422, 77816, 78607, 79004, 80201, 81407, 82622, 83029, 83437, 83846, 84667, 85079, 85492, 87572, 87991, 89254, 89677, 90101, 90526, 91807, 92666, 94396, 94831, 95704, 96142, 96581, 97021, 97462, 97904, 98791, 99236, 101927, 103286, 103741, 104197, 104654, 105112, 105571, 106031, 106492, 109279, 110686, 111157, 111629, 112102, 112576, 113527, 114004, 116404, 116887, 117856, 118342, 118829, 119317, 119806, 121279, 124252, 124751, 125251, 125752, 126254, 126757, 127261, 127766.

Some larger examples :