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arithmetic n.  and  pernicious n.

First numbers that belong to both sets:

3, 5, 6, 7, 11, 13, 14, 17, 19, 20, 21, 22, 31, 33, 35, 37, 38, 41, 42, 44, 47, 49, 55, 56, 59, 61, 62, 65, 66, 67, 68, 69, 70, 73, 79, 87, 91, 93, 94, 96, 97, 103, 107, 109, 110, 115, 118, 127, 129, 131, 132, 133, 134, 137, 138, 140, 143, 145, 151, 155, 157, 158, 161, 164, 167, 168, 173, 174, 179, 181, 182, 185, 186, 188, 191, 193, 199, 203, 205, 206, 211, 213, 214, 217, 220, 223, 224, 227, 229, 230, 233, 236, 239, 241, 247, 248, 251, 253, 254, 257, 258, 259, 260, 261, 262, 264, 265, 266, 271, 273, 276, 280, 283, 285, 286, 295, 299, 301, 302, 304, 307, 309, 310, 313, 319, 321, 322, 327, 331, 334, 339, 341, 342, 345, 348, 351, 352, 355, 357, 358, 361, 367, 369, 375, 376, 379, 381, 382, 385, 391, 395, 397, 398, 403, 406, 409, 415, 419, 421, 422, 425, 426, 428, 431, 433, 434, 439, 443, 445, 446, 451, 453, 454, 457, 460, 463, 465, 471, 477, 478, 481, 487, 491, 493, 494, 499, 501, 502, 505, 506, 513, 515, 517, 518, 521, 524, 527, 535, 539, 541, 542, 545, 546, 548, 551, 552, 555, 557, 558, 563, 565, 566, 569, 570, 572, 575, 577, 580, 583, 587, 589, 590, 595, 597, 598, 601, 602, 607, 608, 611, 613, 614, 617, 618, 620, 623, 631, 632, 635, 637, 638, 641, 642, 644, 647, 651, 653, 654, 659, 661, 662, 665, 668, 671, 672, 677, 678, 681, 682, 687, 689, 690, 692, 695, 699, 701, 702, 707, 709, 710, 713, 714, 716, 719, 721, 727, 728, 731, 733, 734.

Some larger examples :