Introduction
Numbers from 1 to 1,000 whose digits add up to n.
n = 1;
for (x = 1, 1000, if (vecsum(digits(x)) == n, print1(x, “, “)));
Digits Add Up to 1
1, 10, 100, 1000
Digits Add Up to 2
2, 11, 20, 101, 110, 200
Digits Add Up to 3
3, 12, 21, 30, 102, 111, 120, 201, 210, 300
Digits Add Up to 4
4, 13, 22, 31, 40, 103, 112, 121, 130, 202, 211, 220, 301, 310, 400
Digits Add Up to 5
5, 14, 23, 32, 41, 50, 104, 113, 122, 131, 140, 203, 212, 221, 230, 302, 311, 320, 401, 410, 500
Numbers from 1 to 1,000,000
Digits Add Up to 6
6, 15, 24, 33, 42, 51, 60, 105, 114, 123, 132, 141, 150, 204, 213, 222, 231, 240, 303, 312, 321, 330, 402, 411, 420, 501, 510, 600
Digits Add Up to 7
7, 16, 25, 34, 43, 52, 61, 70, 106, 115, 124, 133, 142, 151, 160, 205, 214, 223, 232, 241, 250, 304, 313, 322, 331, 340, 403, 412, 421, 430, 502, 511, 520, 601, 610, 700
Digits Add Up to 8
8, 17, 26, 35, 44, 53, 62, 71, 80, 107, 116, 125, 134, 143, 152, 161, 170, 206, 215, 224, 233, 242, 251, 260, 305, 314, 323, 332, 341, 350, 404, 413, 422, 431, 440, 503, 512, 521, 530, 602, 611, 620, 701, 710, 800
Digits Add Up to 9
9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 108, 117, 126, 135, 144, 153, 162, 171, 180, 207, 216, 225, 234, 243, 252, 261, 270, 306, 315, 324, 333, 342, 351, 360, 405, 414, 423, 432, 441, 450, 504, 513, 522, 531, 540, 603, 612, 621, 630, 702, 711, 720, 801, 810, 900
Digits Add Up to 10
19, 28, 37, 46, 55, 64, 73, 82, 91, 109, 118, 127, 136, 145, 154, 163, 172, 181, 190, 208, 217, 226, 235, 244, 253, 262, 271, 280, 307, 316, 325, 334, 343, 352, 361, 370, 406, 415, 424, 433, 442, 451, 460, 505, 514, 523, 532, 541, 550, 604, 613, 622, 631, 640, 703, 712, 721, 730, 802, 811, 820, 901, 910
Digits Add Up to 11
29, 38, 47, 56, 65, 74, 83, 92, 119, 128, 137, 146, 155, 164, 173, 182, 191, 209, 218, 227, 236, 245, 254, 263, 272, 281, 290, 308, 317, 326, 335, 344, 353, 362, 371, 380, 407, 416, 425, 434, 443, 452, 461, 470, 506, 515, 524, 533, 542, 551, 560, 605, 614, 623, 632, 641, 650, 704, 713, 722, 731, 740, 803, 812, 821, 830, 902, 911, 920
Digits Add Up to 12
39, 48, 57, 66, 75, 84, 93, 129, 138, 147, 156, 165, 174, 183, 192, 219, 228, 237, 246, 255, 264, 273, 282, 291, 309, 318, 327, 336, 345, 354, 363, 372, 381, 390, 408, 417, 426, 435, 444, 453, 462, 471, 480, 507, 516, 525, 534, 543, 552, 561, 570, 606, 615, 624, 633, 642, 651, 660, 705, 714, 723, 732, 741, 750, 804, 813, 822, 831, 840, 903, 912, 921, 930
Digits Add Up to 13
49, 58, 67, 76, 85, 94, 139, 148, 157, 166, 175, 184, 193, 229, 238, 247, 256, 265, 274, 283, 292, 319, 328, 337, 346, 355, 364, 373, 382, 391, 409, 418, 427, 436, 445, 454, 463, 472, 481, 490, 508, 517, 526, 535, 544, 553, 562, 571, 580, 607, 616, 625, 634, 643, 652, 661, 670, 706, 715, 724, 733, 742, 751, 760, 805, 814, 823, 832, 841, 850, 904, 913, 922, 931, 940
Digits Add Up to 14
59, 68, 77, 86, 95, 149, 158, 167, 176, 185, 194, 239, 248, 257, 266, 275, 284, 293, 329, 338, 347, 356, 365, 374, 383, 392, 419, 428, 437, 446, 455, 464, 473, 482, 491, 509, 518, 527, 536, 545, 554, 563, 572, 581, 590, 608, 617, 626, 635, 644, 653, 662, 671, 680, 707, 716, 725, 734, 743, 752, 761, 770, 806, 815, 824, 833, 842, 851, 860, 905, 914, 923, 932, 941, 950
Digits Add Up to 15
69, 78, 87, 96, 159, 168, 177, 186, 195, 249, 258, 267, 276, 285, 294, 339, 348, 357, 366, 375, 384, 393, 429, 438, 447, 456, 465, 474, 483, 492, 519, 528, 537, 546, 555, 564, 573, 582, 591, 609, 618, 627, 636, 645, 654, 663, 672, 681, 690, 708, 717, 726, 735, 744, 753, 762, 771, 780, 807, 816, 825, 834, 843, 852, 861, 870, 906, 915, 924, 933, 942, 951, 960
Digits Add Up to 16
79, 88, 97, 169, 178, 187, 196, 259, 268, 277, 286, 295, 349, 358, 367, 376, 385, 394, 439, 448, 457, 466, 475, 484, 493, 529, 538, 547, 556, 565, 574, 583, 592, 619, 628, 637, 646, 655, 664, 673, 682, 691, 709, 718, 727, 736, 745, 754, 763, 772, 781, 790, 808, 817, 826, 835, 844, 853, 862, 871, 880, 907, 916, 925, 934, 943, 952, 961, 970
Digits Add Up to 17
89, 98, 179, 188, 197, 269, 278, 287, 296, 359, 368, 377, 386, 395, 449, 458, 467, 476, 485, 494, 539, 548, 557, 566, 575, 584, 593, 629, 638, 647, 656, 665, 674, 683, 692, 719, 728, 737, 746, 755, 764, 773, 782, 791, 809, 818, 827, 836, 845, 854, 863, 872, 881, 890, 908, 917, 926, 935, 944, 953, 962, 971, 980
Digits Add Up to 18
99, 189, 198, 279, 288, 297, 369, 378, 387, 396, 459, 468, 477, 486, 495, 549, 558, 567, 576, 585, 594, 639, 648, 657, 666, 675, 684, 693, 729, 738, 747, 756, 765, 774, 783, 792, 819, 828, 837, 846, 855, 864, 873, 882, 891, 909, 918, 927, 936, 945, 954, 963, 972, 981, 990
Digits Add Up to 19
199, 289, 298, 379, 388, 397, 469, 478, 487, 496, 559, 568, 577, 586, 595, 649, 658, 667, 676, 685, 694, 739, 748, 757, 766, 775, 784, 793, 829, 838, 847, 856, 865, 874, 883, 892, 919, 928, 937, 946, 955, 964, 973, 982, 991
Digits Add Up to 20
299, 389, 398, 479, 488, 497, 569, 578, 587, 596, 659, 668, 677, 686, 695, 749, 758, 767, 776, 785, 794, 839, 848, 857, 866, 875, 884, 893, 929, 938, 947, 956, 965, 974, 983, 992
Digits Add Up to 21
399, 489, 498, 579, 588, 597, 669, 678, 687, 696, 759, 768, 777, 786, 795, 849, 858, 867, 876, 885, 894, 939, 948, 957, 966, 975, 984, 993
Digits Add Up to 22
499, 589, 598, 679, 688, 697, 769, 778, 787, 796, 859, 868, 877, 886, 895, 949, 958, 967, 976, 985, 994
Digits Add Up to 23
599, 689, 698, 779, 788, 797, 869, 878, 887, 896, 959, 968, 977, 986, 995
Digits Add Up to 24
699, 789, 798, 879, 888, 897, 969, 978, 987, 996
Digits Add Up to 25
799, 889, 898, 979, 988, 997
Digits Add Up to 26
899, 989, 998
Digits Add Up to 27
999
Digits Add Up to 28
There are no numbers from 1 to 1,000 that fit the pattern.