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Friedman n.  and  nude n.

First numbers that belong to both sets:

126, 128, 216, 1296, 1395, 2916, 3864, 6144, 9216, 11664, 11848, 12288, 12384, 12768, 12996, 13824, 16368, 18432, 19692, 21848, 23328, 24336, 26244, 26364, 26496, 28224, 28728, 28784, 32832, 33696, 34992, 36864, 38424, 39366, 42336, 46368, 46632, 46644, 49896, 49968, 69984, 81648, 82944, 84672, 93312, 111132, 112896, 114244, 114248, 114696, 114772, 116496, 116928, 117726, 117768, 117775, 117936, 118272, 118344, 123648, 124368, 124412, 124416, 124464, 124488, 124632, 129276, 129888, 134832, 136944, 138624, 139392, 139824, 139896, 139932, 139968, 141288, 141384, 146412, 147448, 148176, 149364, 163296, 163848, 163944, 166248, 168264, 169362, 172872, 179739, 182784, 183624, 184368, 186624, 186648, 191664, 193968, 196488, 196632, 211722, 211896, 211968, 213432, 214368, 216432, 217728, 218488, 218736, 221184, 223488, 227136, 228488, 233928, 234264, 234288, 236184, 236196, 236688, 238368, 238464, 238728, 238968, 239616, 243648, 244224, 247968, 248824, 248832, 249696, 261888, 262122, 262128, 262248, 262488, 262848, 263424, 263448, 264384, 264648, 266328, 276864, 281664, 281736, 282744, 283392, 286416, 294336, 294696, 294912, 294984, 298368, 299376, 311472, 314436, 314496, 314688, 314832, 314928, 316224, 316362, 318864, 326424, 326676, 332928, 333396, 334368, 342144, 343332, 343476, 346968, 355995, 366912, 367248, 367416, 371196, 372624, 373212, 376488, 376824, 376992, 377622, 377664, 384912, 388416, 393984, 396864, 399492, 412164, 413496, 416724, 419328, 421632, 422496, 423612, 423936, 432768, 432864, 436224, 438888, 438912, 442368, 443232, 462672, 467712, 484128, 487424, 487872, 491688, 493848, 496368, 498168, 611226, 626688, 627984, 629964, 632448, 639288, 642384, 642816, 663984, 664848, 666792, 669222, 677376, 682344, 684288, 684816, 687624, 688128, 691488, 699696, 699966, 733824, 734664, 734832, 739935, 774144, 777924, 786744, 789264, 834624, 843648, 847728, 868344, 886464, 891144, 892296, 912384, 941184, 968832, 969624, 979776, 983664.