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pancake n.  and  sphenic n.

First numbers that belong to both sets:

154, 742, 1771, 2146, 2486, 2702, 3082, 3322, 5254, 6106, 8386, 9454, 10586, 10879, 11326, 11782, 12562, 13862, 14366, 14707, 15226, 16654, 17206, 18146, 21322, 24311, 25201, 26566, 27262, 28681, 29162, 30382, 30877, 31126, 36047, 36586, 38227, 39061, 39622, 41906, 46057, 46361, 48517, 48829, 50722, 52327, 53302, 55279, 55946, 59686, 62482, 63547, 65342, 67529, 70126, 71254, 73154, 74306, 76246, 80201, 80602, 82622, 84667, 89254, 89677, 91379, 92666, 93962, 94831, 96142, 98791, 103286, 106954, 111629, 112102, 114961, 115922, 119806, 122266, 123754, 125251, 127766, 130306, 132871, 138602, 139657, 140186, 147697, 148786, 151526, 153182, 154847, 155962, 158767, 165026, 170237, 170821, 172579, 174346, 174937, 176122, 180301, 180902, 184529, 185746, 186967, 187579, 188806, 191891, 193754, 207691, 210926, 214186, 219454, 221446, 223447, 224786, 226802, 228151, 230182, 232222, 235642, 237017, 237706, 241166, 243254, 244651, 260282, 263902, 266086, 267547, 280127, 283129, 289942, 293762, 295297, 296066, 299926, 302254, 304591, 310079, 312446, 314029, 321202, 326029, 331706, 332521, 336611, 349867, 351542, 353221, 358282, 365086, 367654, 369371, 378886, 381502, 388522, 390287, 391171, 397387, 402754, 414506, 417242, 423661, 424582, 429202, 430129, 431057, 431986, 436646, 437581, 441331, 444154, 449827, 451726, 454582, 462242, 465131, 467062, 469966, 475801, 485606, 498502, 506522, 511567, 514606, 516637, 522754, 527879, 534062, 540281, 545491, 547582, 550726, 552827, 564454, 567646, 569779, 574057, 588071, 590242, 600061, 607754, 619942, 622171, 631127, 635629, 636757, 637886, 643546, 645817, 652654, 662977, 671062, 672221, 674542, 680362, 681529, 683866, 690901, 695611, 699154, 702706, 711029, 712222, 720601, 731446, 739937, 741154, 747254, 760762, 763231, 776882, 778129, 783127, 786886, 790654, 800746, 807086, 808357, 810902, 824971, 831406, 833987, 848254, 852166, 858706, 861329, 877151, 883786, 890446, 898471, 901154, 905186, 907879, 911926, 913277, 915982, 918691, 933662, 936397, 944626, 946001, 948754, 955654, 966746, 969529, 970922, 977902, 982102, 984907, 993346, 997579, 1003237, 1004654, 1014601, 1016026, 1020307, 1024597.

Some larger examples :