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pancake n.  and  unprimeable n.

First numbers that belong to both sets:

326, 1712, 1892, 2486, 3742, 4852, 5254, 5672, 5996, 7382, 8912, 9454, 9592, 10012, 13204, 13862, 15754, 18722, 20302, 21116, 22792, 23654, 24754, 27262, 27496, 32132, 34192, 35246, 35512, 37676, 43072, 43366, 44552, 45452, 46972, 47896, 48206, 49142, 50404, 57292, 59686, 61076, 61426, 62836, 64262, 65342, 69752, 72772, 73154, 74306, 77422, 79004, 79402, 82622, 84256, 85492, 87572, 88832, 89254, 90952, 97904, 102832, 105112, 106492, 108812, 110216, 115922, 116404, 121772, 124252, 132356, 133904, 134422, 135982, 138602, 140186, 144992, 153182, 155404, 155962, 160462, 162166, 164452, 165026, 166754, 171992, 173756, 183922, 186356, 191272, 195626, 196252, 200662, 201296, 208982, 216812, 224786, 226802, 232222, 235642, 246052, 246754, 249572, 251696, 254542, 260282, 261004, 266816, 269012, 271954, 274912, 283882, 286904, 289942, 296066, 299152, 299926, 302254, 303032, 312446, 328456, 331706, 337432, 347362, 350704, 351542, 354062, 354904, 364232, 374546, 385882, 392942, 395606, 396496, 403652, 406352, 410872, 417242, 420904, 421822, 424582, 429202, 432916, 435712, 443212, 447932, 450776, 454582, 459362, 462242, 474826, 477754, 486592, 498502, 506522, 514606, 517654, 518672, 521732, 525826, 534062, 539242, 542362, 546536, 554932, 555986, 563392, 568712, 571916, 572986, 580504, 581582, 584822, 585904, 594596, 597872, 603352, 607754, 616606, 619942, 628882, 630004, 634502, 656086, 660676, 665282, 674542, 675704, 679196, 680362, 688552, 694432, 712222, 718202, 721802, 723004, 736292, 741154, 742372, 752152, 755836, 771904, 780626, 781876, 785632, 791912, 795692, 816004, 817282, 821122, 826256, 837866, 843052, 857396, 867904, 869222, 873182, 874504, 878476, 879802, 885116, 889112, 899812, 901154, 911926, 915982, 922762, 928204, 932296, 933662, 937766, 939136, 943252, 948754, 950132, 961192, 966746, 977902, 983504, 998992, 1006072, 1010332, 1011754, 1017452, 1021736, 1027462, 1033204, 1034642, 1038962, 1056332, 1062154, 1073846, 1075312, 1081186, 1085602, 1087076, 1098904, 1104842, 1110796, 1116766, 1127252, 1128754, 1134772, 1145342, 1152922, 1163576, 1171216, 1177346, 1181954, 1183492, 1188112, 1194286, 1200476, 1214462, 1220704, 1226962, 1233236, 1237952, 1244254, 1250572.

Some larger examples :