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evil n.  and  pentagonal n.

First numbers that belong to both sets:

5, 12, 51, 92, 210, 287, 330, 715, 1080, 1162, 1247, 1520, 1820, 1926, 2262, 2501, 2625, 2752, 3015, 3432, 3876, 4030, 4187, 4347, 4676, 4845, 5192, 5370, 5735, 5922, 6700, 7107, 7526, 7740, 7957, 8177, 8400, 8626, 9087, 9322, 9560, 9801, 11051, 12105, 12927, 14357, 14652, 14950, 15555, 17442, 17767, 18426, 19437, 19780, 20475, 20827, 21901, 22265, 22632, 23375, 24512, 25676, 28085, 30175, 31032, 31465, 31901, 32782, 34580, 35037, 37367, 37842, 38801, 40262, 40755, 41251, 42252, 44290, 45327, 45850, 46905, 48510, 49051, 50142, 51801, 52360, 52922, 53487, 54626, 55200, 56357, 56940, 57526, 59302, 61105, 61712, 62322, 62935, 64170, 66676, 67947, 68587, 70525, 71177, 71832, 72490, 73151, 74482, 75152, 75825, 77180, 77862, 79235, 79926, 80620, 81317, 83426, 84135, 87001, 87725, 89182, 89915, 90651, 92132, 92877, 95130, 96647, 97410, 100492, 103622, 106001, 106800, 108407, 110026, 111657, 112477, 114126, 115787, 116622, 118301, 126005, 126876, 128627, 129507, 130390, 136655, 137562, 138472, 140301, 141220, 142142, 143995, 145860, 147737, 148680, 149626, 151527, 152482, 153440, 154401, 156332, 157302, 158275, 160230, 162197, 166167, 167167, 168170, 169176, 170185, 175275, 179401, 182527, 183575, 184626, 185680, 186737, 188860, 192067, 195301, 197472, 198562, 200751, 206276, 208507, 210750, 211876, 213005, 215272, 216410, 218695, 223301, 224460, 225622, 226787, 227955, 231477, 233840, 235026, 236215, 237407, 242205, 244622, 245835, 249492, 250717, 253176, 254410, 256887, 259376, 260625, 263132, 264390, 270725, 272001, 273280, 277135, 279720, 282317, 286235, 287547, 290180, 291501, 292825, 294152, 299490, 302177, 303525, 304876, 307587, 313045, 314417, 319935, 321322, 324105, 325501, 326900, 328302, 331115, 332526, 333940, 336777, 339626, 342487, 343922, 345360, 348245, 349692, 356972, 359905, 362850, 365807, 368776, 370265, 371757, 374750, 376251, 379262, 383801, 385320, 388367, 392960, 397580, 403782, 408465, 411602, 414751, 417912, 419497, 421085, 427467, 429070, 430676, 432285, 433897, 437130, 445265, 451827, 453475, 455126.

Some larger examples :