Oh well, another lame “project” by the boliao JH. Hehe, you guys can contribute if you want, I won’t mind. =D I’ll see how far I can go. Yes, I will try to do in numerical order, starting from 1. Probably will be abandoned/left alone after some time. Lol.
I know this can probably be programmed out by some of you out there, but hey I find more joy in finding my own combinations :P
Conditions to self: use not more than 4 operators (yes I’m lenient on myself).
1 to 300
| 1 = 3² – 2³ | 2 = 3³ – 5² | 3 = 27 – 5³ |
| 4 = 2² | 5 = 25 – 3³ | 6 = 2² + 3³ – 5² |
| 7 = 4² – 3² | 8 = 2³ | 9 = 3² |
| 10 = 17² – 21² + 11² | 11 = 6² – 5² | 12 = 2² + 2³ |
| 13 = 16² – 35 | 14 = 6³ – 11² – 9² | 15 = 35 – 27 – 10² |
| 16 = 4² | 17 = 5² – 2³ | 18 = 6² + 3² – 3³ |
| 19 = 10² – 9² | 20 = 4² + 2² | 21 = 5² – 2² |
| 22 = 7² – 3³ | 23 = 25 – 3² | 24 = 7² – 5² |
| 25 = 5² | 26 = 5² + 3² – 2³ | 27 = 3³ |
| 28 = 25 – 2² | 29 = 5² + 2² | 30 = 8² – 5² – 3² |
| 31 = 25 + 2³ – 3² | 32 = 25 | 33 = 17² – 16² |
| 34 = 5² + 3² | 35 = 6² + 2³ – 3² | 36 = 6² |
| 37 = 6² – 2³ + 3² | 38 = 7³ – 35 – 4² | 39 = 8² – 5² |
| 40 = 6² + 2² | 41 = 25 + 3² | 42 = 23² – 8³ + 5² |
| 43 = 35 – 14² – 2² | 44 = 6² + 2³ | 45 = 6² + 3² |
| 46 = 17² – 35 | 47 = 27 – 9² | 48 = 25 + 4² |
| 49 = 7² | 50 = 5² + 5² | 51 = 10² – 7² |
| 52 = 6² + 4² | 53 = 12² – 3³ – 8² | 54 = 3³ + 3³ |
| 55 = 8³ – 3³ | 56 = 8² – 2³ | 57 = 25 + 5² |
| 58 = 35 – 11² – 8² | 59 = 6³ – 11² – 6² | 60 = 8² – 2² |
| 61 = 5³ – 8² | 62 = 20² – 17² – 7² | 63 = 3³ + 6² |
| 64 = 8² | 65 = 7² + 4² | 66 = 20² – 7³ + 3² |
| 67 = 35 – 12² – 25 | 68 = 8² + 2² | 69 = 13² – 10² |
| 70 = 27 – 7² – 3² | 71 = 27 – 7² – 2³ | 72 = 11² – 7² |
| 73 = 8² + 3² | 74 = 7² + 5² | 75 = 10² – 5² |
| 76 = 5³ – 7² | 77 = 9² – 2² | 78 = 7² + 5² + 2² |
| 79 = 27 – 7² | 80 = 4³ + 4² | 81 = 9² |
| 82 = 9² + 3² – 2³ | 83 = 7² + 5² + 3² | 84 = 10² – 4² |
| 85 = 9² + 2² | 86 = 19² – 35 – 25 | 87 = 6³ – 11² – 2³ |
| 88 = 23² – 21² | 89 = 8² + 5² | 90 = 9² + 3² |
| 91 = 10² – 3² | 92 = 10² – 2³ | 93 = 17² – 14² |
| 94 = 11² – 3³ | 95 = 6³ – 11² | 96 = 26 + 25 |
| 97 = 9³ + 4² | 98 = 5³ – 3³ | 99 = 2² * 3³ – 3² |
| 100 = 10² | 101 = 27 – 3³ | 102 = 7³ – 6³ – 5² |
| 103 = 18² – 10² – 11² | 104 = 10² + 2² | 105 = 13² – 8² |
| 106 = 18² – 13² – 7² | 107 = 10² + 4² – 3² | 108 = 10² + 2³ |
| 109 = 10² + 3² | 110 = 5² + 9² + 2² | 111 = 20² – 17² |
| 112 = 10² + 2² + 2³ | 113 = 10² + 16² – 35 | 114 = 8² + 5² + 5² |
| 115 = 35 – 27 | 116 = 10² + 4² | 117 = 11² – 2² |
| 118 = 7³ – 5³ – 10² | 119 = 27 – 3² | 120 = 27 – 2³ |
| 121 = 11² | 122 = 11² + 3² – 2² | 123 = 10² + 25 – 3² |
| 124 = 27 – 2² | 125 = 5³ | 126 = 5³ + 3² – 2³ |
| 127 = 10² + 3³ | 128 = 27 | 129 = 5³ + 2² |
| 130 = 18² – 13² – 5² | 131 = 18² – 12² – 7² | 132 = 27 + 2² |
| 133 = 5³ + 2³ | 134 = 5³ + 3² | 135 = 24² – 21² |
| 136 = 27 + 2³ | 137 = 27 + 3² | 138 = 7³ – 6² – 13² |
| 139 = 18² – 13² – 4² | 140 = 12² – 2² | 141 = 16² – 35 + 27 |
| 142 = 13² – 3³ | 143 = 12² + 2³ – 3² | 144 = 12² |
| 145 = 12² + 3² – 2³ | 146 = 11² + 5² | 147 = 10² + 27 – 9² |
| 148 = 12² + 2² | 149 = 10² + 7² | 150 = 10² + 5² + 5² |
| 151 = 8³ – 19² | 152 = 12² + 2³ | 153 = 12² + 3² |
| 154 = 35 + 25 – 11² | 155 = 27 + 3³ | 156 = 16² – 15² + 5³ |
| 157 = 11² + 6² | 158 = 35 + 6² – 11² | 159 = 16² – 15² + 27 |
| 160 = 13² – 3² | 161 = 13² – 2³ | 162 = 35 – 9² |
| 163 = 7³ – 6² – 12² | 164 = 10² + 8² | 165 = 13² – 2² |
| 166 = 13² – 27 – 5³ | 167 = 14² – 2² – 5² | 168 = 13² + 2³ – 3² |
| 169 = 13² | 170 = 11² + 7² | 171 = 12² + 3³ |
| 172 = 14² + 2³ – 25 | 173 = 13² + 2² | 174 = 17² – 35 + 27 |
| 175 = 20² – 15² | 176 = 21² – 12² – 11² | 177 = 13² + 2³ |
| 178 = 13² + 3² | 179 = 35 – 8² | 180 = 12² + 6² |
| 181 = 10² + 9² | 182 = 13² + 2² + 3² | 183 = 14² + 6² – 7² |
| 184 = 10² + 10² – 4² | 185 = 11² + 8² | 186 = 7³ – 6² – 11² |
| 187 = 14² – 3² | 188 = 14² – 2³ | 189 = 10² + 8² + 5² |
| 190 = 10² + 9² + 3² | 191 = 7³ – 6³ + 8² | 192 = 14² – 2² |
| 193 = 12² + 7² | 194 = 35 + 25 – 9² | 195 = 14² – 3² + 2² |
| 196 = 14² | 197 = 14² – 2³ + 3² | 198 = 21² – 35 |
| 199 = 18² – 5³ | 200 = 2³ * 5² | 201 = 10² + 27 – 3³ |
| 202 = 11² + 9² | 203 = 18² – 11² | 204 = 14² + 2² |
| 205 = 14² + 3² | 206 = 15² + 2³ – 3³ | 207 = 6³ – 3² |
| 208 = 6³ – 2³ | 209 = 15² – 4² | 210 = 11² + 8² + 5² |
| 211 = 11² + 10² | 212 = 14² + 4² | 213 = 16² – 4² – 3³ |
| 214 = 15² + 5² – 6² | 215 = 7³ – 27 | 216 = 6³ |
| 217 = 15² – 2³ | 218 = 35 – 5² | 219 = 20² – 10² – 9² |
| 220 = 6³ + 2² | 221 = 15² – 2² | 222 = 7³ – 11² |
| 223 = 35 – 4² – 2² | 224 = 6³ + 2³ | 225 = 15² |
| 226 = 11² + 13² – 8² | 227 = 35 – 4² | 228 = 14² + 25 |
| 229 = 15² + 2² | 230 = 35 – 2² – 3² | 231 = 16² – 5² |
| 232 = 14² + 6² | 233 = 15² + 2³ | 234 = 15² + 3² |
| 235 = 35 – 2³ | 236 = 19² – 5³ | 237 = 15² + 2³ + 2² |
| 238 = 11² + 11² – 2² | 239 = 35 – 2² | 240 = 16² – 4² |
| 241 = 11² + 13² – 7² | 242 = 11² + 11² | 243 = 35 |
| 244 = 12² + 10² | 245 = 14² + 7² | 246 = 11² + 11² + 2² |
| 247 = 16² – 3² | 248 = 16² – 2³ | 249 = 14² + 7² + 2² |
| 250 = 15² + 5² | 251 = 35 + 2³ | 252 = 16² – 2² |
| 253 = 7³ – 9² – 3² | 254 = 11² + 13² – 6² | 255 = 16² + 2³ – 3² |
| 256 = 16² | 257 = 17² + 2² – 6² | 258 = 11² + 13² – 25 |
| 259 = 35 + 4² | 260 = 16² + 2² | 261 = 15² + 6² |
| 262 = 7³ – 9² | 263 = 18² – 5² – 6² | 264 = 16² + 2³ |
| 265 = 16² + 3² | 266 = 18² – 7² – 3² | 267 = 18² – 7² – 2³ |
| 268 = 35 + 5² | 269 = 13² + 10² | 270 = 35 + 3³ |
| 271 = 18² – 7² – 2² | 272 = 16² + 4² | 273 = 16² + 5² – 2³ |
| 274 = 15² + 7² | 275 = 18² – 7² | 276 = 26² – 20² |
| 277 = 14² + 9² | 278 = 7³ – 7² – 4² | 279 = 35 + 6² |
| 280 = 19² – 9² | 281 = 16² + 5² | 282 = 11² + 13² – 2³ |
| 283 = 18² – 5² – 4² | 284 = 20² – 10² – 4² | 285 = 17² – 2² |
| 286 = 11² + 13² – 2² | 287 = 16² + 2² + 3³ | 288 = 12² + 12² |
| 289 = 17² | 290 = 11² + 13² | 291 = 20² – 10² – 3² |
| 292 = 35 + 7² | 293 = 17² + 2² | 294 = 7³ – 7² |
| 295 = 18² – 5² – 2² | 296 = 14² + 10² | 297 = 17² + 2³ |
| 298 = 17² + 3² | 299 = 18² – 5² | 300 = 20² – 10² |
| 301 = 17² + 2³ + 2² | 302 = 17² + 3² + 2² | 303 = 7³ – 6² – 2² |
| 304 = 20² – 10² +2² | 305 = 17² + 4² | 306 = 17² + 2³ + 3² |
| 307 = 7³ – 6² | 308 = 18² – 4² | 309 = 7³ – 5² – 3² |
| 310 = 17² + 5² – 2² | 311 = 7³ – 6² + 2² | 312 = 19² – 7² |
| 313 = 17² + 2³ + 4² | 314 = 17² + 5² | 315 = 18² – 3² |
| 316 = 18² – 2³ | 317 = 18² – 4² + 3² | 318 = 7³ – 5² |
| 319 = 20² – 9² | 320 = 18² – 2² | 321 = 19² – 7² + 3² |
| 322 = 17² + 7² – 4² | 323 = 20² – 9² + 2² | 324 = 18² |
| 325 = 17² + 6² | 326 = 7³ – 3² – 2³ | 327 = 7³ – 4² |
| 328 = 18² + 2² | 329 = 18² – 2² + 3² | 330 = 7³ – 3² – 2² |
| 331 = 7³ – 2³ – 2² | 332 = 18² + 2³ | 333 = 18² + 3² |
| 334 = 7³ – 3² | 335 = 7³ – 2³ | 336 = 20² – 8² |
| 337 = 18² + 2² + 3² | 338 = 17² + 7² | 339 = 7³ – 2² |
| 340 = 18² + 5² – 3² | 341 = 19² – 5² – 2² | 342 = 20² – 3² – 7² |
| 343 = 7³ | 344 = 7³ – 2³ + 3² | 345 = 19² – 5² |
| 346 = 17² + 2³ + 7² | 347 = 7³ + 2² | 348 = 7³ + 3² – 2² |
| 349 = 18² + 5² | 350 = 7³ + 4² – 3² | 351 = 7³ + 2³ |
| 352 = 7³ + 3² | 353 = 17² + 8² | 354 = 19² – 5² + 3² |
| 355 = 20² – 3² – 6² | 356 = 7³ + 3² + 2² | 357 = 19² – 2² |
| 358 = 18² + 5² + 3² | 359 = 7³ + 4² | 360 = 18² + 6² |
| 361 = 19² | 362 = 17² + 8² + 3² | 363 = 7³ + 4² + 2² |
| 364 = 20² – 6² | 365 = 19² + 2² | 366 = 20² – 3² – 5² |
| 367 = 7³ + 6² – 3² | 368 = 7³ + 5² | 369 = 19² + 3² |
| 370 = 17² + 9² | 371 = 20² – 5² – 2² | 372 = 18² + 8² – 4² |
| 373 = 18² + 7² | 374 = 19² + 2² + 3² | 375 = 20² – 5² |
| 376 = 7³ + 6² | 377 = 19² + 4² | 378 = 19² + 3² + 3² |
| 379 = 20² – 5² + 2² | 380 = 17² + 10² – 3² | 381 = 19² + 4² + 2² |
| 382 = 20² – 3² – 3² | 383 = 20² – 3² – 2³ | 384 = 20² – 4² |
| 385 = 7³ + 6² + 3² | 386 = 19² + 5² | 387 = 20² – 3² – 2² |
| 388 = 18² + 8² | 389 = 17² + 10² | 390 = 19² + 5² + 2² |
| 391 = 20² – 3² | 392 = 7³ + 7² | 393 = 20² – 4² + 3² |
| 394 = 7³ + 4² + 4² | 395 = 20² – 3² + 2² | 396 = 20² – 2² |
| 397 = 19² + 6² | 398 = 17² + 10² + 3² | 399 = 7³ – 5² + 9² |
| 400 = 20² | 401 = | 402 = |
| 403 = | 404 = | 405 = |
| 406 = | 407 = | 408 = |
| 409 = | 410 = | 411 = |
| 412 = | 413 = | 414 = |
| 415 = | 416 = | 417 = |
| 418 = | 419 = | 420 = |
| 421 = | 422 = | 423 = |
| 424 = | 425 = | 426 = |
| 427 = | 428 = | 431 = |
| 430 = | 431 = | 434 = |
| 433 = | 434 = | 437 = |
| 436 = | 437 = | 440 = |
| 439 = | 440 = | 443 = |
| 442 = | 443 = | 446 = |
| 445 = | 446 = | 449 = |
| 448 = | 449 = | 452 = |
| 451 = | 452 = | 455 = |
| 454 = | 455 = | 458 = |
| 457 = | 458 = | 461 = |
| 460 = | 461 = | 464 = |
| 463 = | 464 = | 467 = |
| 466 = | 467 = | 470 = |
| 469 = | 470 = | 473 = |
| 472 = | 473 = | 476 = |
| 475 = | 476 = | 479 = |
| 478 = | 479 = | 482 = |
| 481 = | 482 = | 485 = |
| 484 = | 485 = | 488 = |
| 487 = | 488 = | 491 = |
| 490 = | 491 = | 494 = |
| 493 = | 494 = | 495 = |
| 496 = | 497 = | 498 = |
| 499 = | 500 = | 501 = |
| 502 = | 503 = | 504 = |
| 505 = | 506 = | 507 = |
| 508 = | 509 = | 510 = |
| 511 = | 512 = | 513 = |
| 514 = | 515 = | 516 = |
| 517 = | 518 = | 519 = |
| 520 = | 521 = | 522 = |
| 523 = | 524 = | 525 = |
| 526 = | 527 = | 528 = |
| 529 = | 530 = | 531 = |
| 532 = | 533 = | 534 = |
| 535 = | 536 = | 537 = |
| 538 = | 539 = | 540 = |
| 541 = | 542 = | 543 = |
| 544 = | 545 = | 546 = |
| 547 = | 548 = | 549 = |
| 550 = | 551 = | 552 = |
| 553 = | 554 = | 555 = |
| 556 = | 557 = | 558 = |
| 559 = | 560 = | 561 = |
| 562 = | 563 = | 564 = |
| 565 = | 566 = | 567 = |
| 568 = | 569 = | 570 = |
| 571 = | 572 = | 573 = |
| 574 = | 575 = | 576 = |
| 577 = | 578 = | 579 = |
| 580 = | 581 = | 582 = |
| 583 = | 584 = | 585 = |
| 586 = | 587 = | 588 = |
| 589 = | 590 = | 591 = |
| 592 = | 593 = | 594 = |
| 595 = | 596 = | 597 = |
| 598 = | 599 = | 600 = |
| 601 = | 602 = | 603 = |
| 604 = | 605 = | 606 = |
| 607 = | 608 = | 609 = |
| 610 = | 611 = | 612 = |
| 613 = | 614 = | 615 = |
| 616 = | 617 = | 618 = |
| 619 = | 620 = | 621 = |
| 622 = | 623 = | 624 = |
| 625 = | 626 = | 627 = |
| 628 = | 629 = | 630 = |
| 631 = | 632 = | 633 = |
| 634 = | 635 = | 636 = |
| 637 = | 638 = | 639 = |
| 640 = | 641 = | 642 = |
| 643 = | 644 = | 645 = |
| 646 = | 647 = | 648 = |
| 649 = | 650 = | 651 = |
| 652 = | 653 = | 654 = |
| 655 = | 656 = | 657 = |
| 658 = | 659 = | 660 = |
| 661 = | 662 = | 663 = |
| 664 = | 665 = | 666 = |
| 667 = | 668 = | 669 = |
| 670 = | 671 = | 672 = |
| 673 = | 674 = | 675 = |
| 676 = | 677 = | 678 = |
| 679 = | 680 = | 681 = |
| 682 = | 683 = | 684 = |
| 685 = | 686 = | 687 = |
| 688 = | 689 = | 690 = |
| 691 = | 692 = | 693 = |
| 694 = | 695 = | 696 = |
| 697 = | 698 = | 699 = |
| 700 = | 701 = | 702 = |
| 703 = | 704 = | 705 = |
| 706 = | 707 = | 708 = |
| 709 = | 710 = | 711 = |
| 712 = | 713 = | 714 = |
| 715 = | 716 = | 717 = |
| 718 = | 719 = | 720 = |
| 721 = | 722 = | 723 = |
| 724 = | 725 = | 726 = |
| 727 = | 728 = | 729 = |
| 730 = | 731 = | 732 = |
| 733 = | 734 = | 735 = |
| 736 = | 737 = | 738 = |
| 739 = | 740 = | 741 = |
| 742 = | 743 = | 744 = |
| 745 = | 746 = | 747 = |
| 748 = | 749 = | 750 = |
| 751 = | 752 = | 753 = |
| 754 = | 755 = | 756 = |
| 757 = | 758 = | 759 = |
| 760 = | 761 = | 762 = |
| 763 = | 764 = | 765 = |
| 766 = | 767 = | 768 = |
| 769 = | 770 = | 771 = |
| 772 = | 773 = | 774 = |
| 775 = | 776 = | 777 = |
| 778 = | 779 = | 780 = |
| 781 = | 782 = | 783 = |
| 784 = | 785 = | 786 = |
| 787 = | 788 = | 789 = |
| 790 = | 791 = | 792 = |
| 793 = | 794 = | 795 = |
| 796 = | 797 = | 798 = |
| 799 = | 800 = | 801 = |
| 802 = | 803 = | 804 = |
| 805 = | 806 = | 807 = |
| 808 = | 809 = | 810 = |
| 811 = | 812 = | 813 = |
| 814 = | 815 = | 816 = |
| 817 = | 818 = | 819 = |
| 820 = | 821 = | 822 = |
| 823 = | 824 = | 825 = |
| 826 = | 827 = | 828 = |
| 829 = | 830 = | 831 = |
| 832 = | 833 = | 834 = |
| 835 = | 836 = | 837 = |
| 838 = | 839 = | 840 = |
| 841 = | 842 = | 843 = |
| 844 = | 845 = | 846 = |
| 847 = | 848 = | 849 = |
| 850 = | 851 = | 852 = |
| 853 = | 854 = | 855 = |
| 856 = | 857 = | 858 = |
| 859 = | 860 = | 861 = |
| 862 = | 863 = | 864 = |
| 865 = | 866 = | 867 = |
| 868 = | 869 = | 870 = |
| 871 = | 872 = | 873 = |
| 874 = | 875 = | 876 = |
| 877 = | 878 = | 879 = |
| 880 = | 881 = | 882 = |
| 883 = | 884 = | 885 = |
| 886 = | 887 = | 888 = |
| 889 = | 890 = | 891 = |
| 892 = | 893 = | 894 = |
| 895 = | 896 = | 897 = |
| 898 = | 899 = | 900 = |
| 901 = | 902 = | 903 = |
| 904 = | 905 = | 906 = |
| 907 = | 908 = | 909 = |
| 910 = | 911 = | 912 = |
| 913 = | 914 = | 915 = |
| 916 = | 917 = | 918 = |
| 919 = | 920 = | 921 = |
| 922 = | 923 = | 924 = |
| 925 = | 926 = | 927 = |
| 928 = | 929 = | 930 = |
| 931 = | 932 = | 933 = |
| 934 = | 935 = | 936 = |
| 937 = | 938 = | 939 = |
| 940 = | 941 = | 942 = |
| 943 = | 944 = | 945 = |
| 946 = | 947 = | 948 = |
| 949 = | 950 = | 951 = |
| 952 = | 953 = | 954 = |
| 955 = | 956 = | 957 = |
| 958 = | 959 = | 960 = |
| 961 = | 962 = | 963 = |
| 964 = | 965 = | 966 = |
| 967 = | 968 = | 969 = |
| 970 = | 971 = | 972 = |
| 973 = | 974 = | 975 = |
| 976 = | 977 = | 978 = |
| 979 = | 980 = | 981 = |
| 982 = | 983 = | 984 = |
| 985 = | 986 = | 987 = |
| 988 = | 989 = | 990 = |
| 991 = | 992 = | 993 = |
| 994 = | 995 = | 996 = |
| 997 = | 998 = | 999 = |
Special thanks to WaiKit for some checking.
Last update: 7 February 2008
just another hideout 
was wiki-ing and came across http://en.wikipedia.org/wiki/Table_of_prime_factors when i was reading up on number theory. not exactly what u’re doing here, but related. also, i noted your only identifiable rule here is that all numbers must be represented by a set of arithmetic operation of powered factors, of which the minimal power is 2. well, further interesting reading: http://en.wikipedia.org/wiki/Divisibility_rule and http://en.wikipedia.org/wiki/Table_of_divisors
i doing w/o calculators. so bound to have errors. and they are sums/subtractions of powers of sth (integers only).