Cody

# Problem 46600. Generate a list of composite numbers

Solution 3785533

Submitted on 22 Nov 2020 by Sibi
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### Test Suite

Test Status Code Input and Output
1   Pass
n = 10; c_correct = [4 6 8 9 10]; assert(isequal(composites(n),c_correct))

c = 4 6 8 9 10

2   Pass
n = 31; c_correct = [4 6 8 9 10 12 14 15 16 18 20 21 22 24 25 26 27 28 30]; assert(isequal(composites(n),c_correct))

c = 4 6 8 9 10 12 14 15 16 18 20 21 22 24 25 26 27 28 30

3   Pass
n = 500; c = composites(n); len_correct = 404; c_correct80 = [110 207 303 399 495]; assert(isequal(length(c),len_correct) && isequal(c(80:80:end),c_correct80))

c = Columns 1 through 30 4 6 8 9 10 12 14 15 16 18 20 21 22 24 25 26 27 28 30 32 33 34 35 36 38 39 40 42 44 45 Columns 31 through 60 46 48 49 50 51 52 54 55 56 57 58 60 62 63 64 65 66 68 69 70 72 74 75 76 77 78 80 81 82 84 Columns 61 through 90 85 86 87 88 90 91 92 93 94 95 96 98 99 100 102 104 105 106 108 110 111 112 114 115 116 117 118 119 120 121 Columns 91 through 120 122 123 124 125 126 128 129 130 132 133 134 135 136 138 140 141 142 143 144 145 146 147 148 150 152 153 154 155 156 158 Columns 121 through 150 159 160 161 162 164 165 166 168 169 170 171 172 174 175 176 177 178 180 182 183 184 185 186 187 188 189 190 192 194 195 Columns 151 through 180 196 198 200 201 202 203 204 205 206 207 208 209 210 212 213 214 215 216 217 218 219 220 221 222 224 225 226 228 230 231 Columns 181 through 210 232 234 235 236 237 238 240 242 243 244 245 246 247 248 249 250 252 253 254 255 256 258 259 260 261 262 264 265 266 267 Columns 211 through 240 268 270 272 273 274 275 276 278 279 280 282 284 285 286 287 288 289 290 291 292 294 295 296 297 298 299 300 301 302 303 Columns 241 through 270 304 305 306 308 309 310 312 314 315 316 318 319 320 321 322 323 324 325 326 327 328 329 330 332 333 334 335 336 338 339 Columns 271 through 300 340 341 342 343 344 345 346 348 350 351 352 354 355 356 357 358 360 361 362 363 364 365 366 368 369 370 371 372 374 375 Columns 301 through 330 376 377 378 380 381 382 384 385 386 387 388 390 391 392 393 394 395 396 398 399 400 402 403 404 405 406 407 408 410 411 Columns 331 through 360 412 413 414 415 416 417 418 420 422 423 424 425 426 427 428 429 430 432 434 435 436 437 438 440 441 442 444 445 446 447 Columns 361 through 390 448 450 451 452 453 454 455 456 458 459 460 462 464 465 466 468 469 470 471 472 473 474 475 476 477 478 480 481 482 483 Columns 391 through 404 484 485 486 488 489 490 492 493 494 495 496 497 498 500

4   Pass
n = 50011; c = composites(n); len_correct = 44877; c_correct8900 = [10146 20070 29942 39782 49594]; assert(isequal(length(c),len_correct) && isequal(c(8900:8900:end),c_correct8900))

c = Columns 1 through 15 4 6 8 9 10 12 14 15 16 18 20 21 22 24 25 Columns 16 through 30 26 27 28 30 32 33 34 35 36 38 39 40 42 44 45 Columns 31 through 45 46 48 49 50 51 52 54 55 56 57 58 60 62 63 64 Columns 46 through 60 65 66 68 69 70 72 74 75 76 77 78 80 81 82 84 Columns 61 through 75 85 86 87 88 90 91 92 93 94 95 96 98 99 100 102 Columns 76 through 90 104 105 106 108 110 111 112 114 115 116 117 118 119 120 121 Columns 91 through 105 122 123 124 125 126 128 129 130 132 133 134 135 136 138 140 Columns 106 through 120 141 142 143 144 145 146 147 148 150 152 153 154 155 156 158 Columns 121 through 135 159 160 161 162 164 165 166 168 169 170 171 172 174 175 176 Columns 136 through 150 177 178 180 182 183 184 185 186 187 188 189 190 192 194 195 Columns 151 through 165 196 198 200 201 202 203 204 205 206 207 208 209 210 212 213 Columns 166 through 180 214 215 216 217 218 219 220 221 222 224 225 226 228 230 231 Columns 181 through 195 232 234 235 236 237 238 240 242 243 244 245 246 247 248 249 Columns 196 through 210 250 252 253 254 255 256 258 259 260 261 262 264 265 266 267 Columns 211 through 225 268 270 272 273 274 275 276 278 279 280 282 284 285 286 287 Columns 226 through 240 288 289 290 291 292 294 295 296 297 298 299 300 301 302 303 Columns 241 through 255 304 305 306 308 309 310 312 314 315 316 318 319 320 321 322 Columns 256 through 270 323 324 325 326 327 328 329 330 332 333 334 335 336 338 339 Columns 271 through 285 340 341 342 343 344 345 346 348 350 351 352 354 355 356 357 Columns 286 through 300 358 360 361 362 363 364 365 366 368 369 370 371 372 374 375 Columns 301 through 315 376 377 378 380 381 382 384 385 386 387 388 390 391 392 393 Columns 316 through 330 394 395 396 398 399 400 402 403 404 405 406 407 408 410 411 Columns 331 through 345 412 413 414 415 416 417 418 420 422 423 424 425 426 427 428 Columns 346 through 360 429 430 432 434 435 436 437 438 440 441 442 444 445 446 447 Columns 361 through 375 448 450 451 452 453 454 455 456 458 459 460 462 464 465 466 Columns 376 through 390 468 469 470 471 472 473 474 475 476 477 478 480 481 482 483 Columns 391 through 405 484 485 486 488 489 490 492 493 494 495 496 497 498 500 501 Columns 406 through 420 502 504 505 506 507 508 510 511 512 513 514 515 516 517 518 Columns 421 through 435 519 520 522 524 525 526 527 528 529 530 531 532 533 534 535 Columns 436 through 450 536 537 538 539 540 542 543 544 545 546 548 549 550 551 552 Columns 451 through 465 553 554 555 556 558 559 560 561 562 564 565 566 567 568 570 Columns 466 through 480 572 573 574 575 576 578 579 580 581 582 583 584 585 586 588 Columns 481 through 495 589 590 591 592 594 595 596 597 598 600 602 603 604 605 606 Columns 496 through 510 608 609 610 611 612 614 615 616 618 620 621 622 623 624 625 Columns 511 through 525 626 627 628 629 630 632 633 634 635 636 637 638 639 640 642 Columns 526 through 540 644 645 646 648 649 650 651 652 654 655 656 657 658 660 662 Columns 541 through 555 663 664 665 666 667 668 669 670 671 672 674 675 676 678 679 Columns 556 through 570 680 681 682 684 685 686 687 688 689 690 692 693 694 695 696 Columns 571 through 585 697 698 699 700 702 703 704 705 706 707 708 710 711 712 713 Columns 586 through 600 714 715 716 717 718 720 721 722 723 724 725 726 728 729 730 Columns 601 through 615 731 732 734 735 736 737 738 740 741 742 744 745 746 747 748 Columns 616 through 630 749 750 752 753 754 755 756 758 759 760 762 763 764 765 766 Columns 631 through 645 767 768 770 771 772 774 775 776 777 778 779 780 781 782 783 Columns 646 through 660 784 785 786 788 789 790 791 792 793 794 795 796 798 799 800 Columns 661 through 675 801 802 803 804 805 806 807 808 810 812 813 814 815 816 817 Columns 676 through 690 818 819 820 822 824 825 826 828 830 831 832 833 834 835 836 Columns 691 through 705 837 838 840 841 842 843 844 845 846 847 848 849 850 851 852 Columns 706 through 720 854 855 856 858 860 861 862 864 865 866 867 868 869 ...

5   Pass
n = 3628800; c = composites(n); len_correct = 3370110; c_correct670000 = [728682 1450680 2170682 2889408 3607220]; assert(isequal(length(c),len_correct) && isequal(c(670000:670000:end),c_correct670000))

c = Columns 1 through 15 4 6 8 9 10 12 14 15 16 18 20 21 22 24 25 Columns 16 through 30 26 27 28 30 32 33 34 35 36 38 39 40 42 44 45 Columns 31 through 45 46 48 49 50 51 52 54 55 56 57 58 60 62 63 64 Columns 46 through 60 65 66 68 69 70 72 74 75 76 77 78 80 81 82 84 Columns 61 through 75 85 86 87 88 90 91 92 93 94 95 96 98 99 100 102 Columns 76 through 90 104 105 106 108 110 111 112 114 115 116 117 118 119 120 121 Columns 91 through 105 122 123 124 125 126 128 129 130 132 133 134 135 136 138 140 Columns 106 through 120 141 142 143 144 145 146 147 148 150 152 153 154 155 156 158 Columns 121 through 135 159 160 161 162 164 165 166 168 169 170 171 172 174 175 176 Columns 136 through 150 177 178 180 182 183 184 185 186 187 188 189 190 192 194 195 Columns 151 through 165 196 198 200 201 202 203 204 205 206 207 208 209 210 212 213 Columns 166 through 180 214 215 216 217 218 219 220 221 222 224 225 226 228 230 231 Columns 181 through 195 232 234 235 236 237 238 240 242 243 244 245 246 247 248 249 Columns 196 through 210 250 252 253 254 255 256 258 259 260 261 262 264 265 266 267 Columns 211 through 225 268 270 272 273 274 275 276 278 279 280 282 284 285 286 287 Columns 226 through 240 288 289 290 291 292 294 295 296 297 298 299 300 301 302 303 Columns 241 through 255 304 305 306 308 309 310 312 314 315 316 318 319 320 321 322 Columns 256 through 270 323 324 325 326 327 328 329 330 332 333 334 335 336 338 339 Columns 271 through 285 340 341 342 343 344 345 346 348 350 351 352 354 355 356 357 Columns 286 through 300 358 360 361 362 363 364 365 366 368 369 370 371 372 374 375 Columns 301 through 315 376 377 378 380 381 382 384 385 386 387 388 390 391 392 393 Columns 316 through 330 394 395 396 398 399 400 402 403 404 405 406 407 408 410 411 Columns 331 through 345 412 413 414 415 416 417 418 420 422 423 424 425 426 427 428 Columns 346 through 360 429 430 432 434 435 436 437 438 440 441 442 444 445 446 447 Columns 361 through 375 448 450 451 452 453 454 455 456 458 459 460 462 464 465 466 Columns 376 through 390 468 469 470 471 472 473 474 475 476 477 478 480 481 482 483 Columns 391 through 405 484 485 486 488 489 490 492 493 494 495 496 497 498 500 501 Columns 406 through 420 502 504 505 506 507 508 510 511 512 513 514 515 516 517 518 Columns 421 through 435 519 520 522 524 525 526 527 528 529 530 531 532 533 534 535 Columns 436 through 450 536 537 538 539 540 542 543 544 545 546 548 549 550 551 552 Columns 451 through 465 553 554 555 556 558 559 560 561 562 564 565 566 567 568 570 Columns 466 through 480 572 573 574 575 576 578 579 580 581 582 583 584 585 586 588 Columns 481 through 495 589 590 591 592 594 595 596 597 598 600 602 603 604 605 606 Columns 496 through 510 608 609 610 611 612 614 615 616 618 620 621 622 623 624 625 Columns 511 through 525 626 627 628 629 630 632 633 634 635 636 637 638 639 640 642 Columns 526 through 540 644 645 646 648 649 650 651 652 654 655 656 657 658 660 662 Columns 541 through 555 663 664 665 666 667 668 669 670 671 672 674 675 676 678 679 Columns 556 through 570 680 681 682 684 685 686 687 688 689 690 692 693 694 695 696 Columns 571 through 585 697 698 699 700 702 703 704 705 706 707 708 710 711 712 713 Columns 586 through 600 714 715 716 717 718 720 721 722 723 724 725 726 728 729 730 Columns 601 through 615 731 732 734 735 736 737 738 740 741 742 744 745 746 747 748 Columns 616 through 630 749 750 752 753 754 755 756 758 759 760 762 763 764 765 766 Columns 631 through 645 767 768 770 771 772 774 775 776 777 778 779 780 781 782 783 Columns 646 through 660 784 785 786 788 789 790 791 792 793 794 795 796 798 799 800 Columns 661 through 675 801 802 803 804 805 806 807 808 810 812 813 814 815 816 817 Columns 676 through 690 818 819 820 822 824 825 826 828 830 831 832 833 834 835 836 Columns 691 through 705 837 838 840 841 842 843 844 845 846 847 848 849 850 851 852 Columns 706 through 720 854 855 856 858 860 861 862 864 865 866 867 868 869 ...

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