Cody

# Problem 241. Project Euler: Problem 7, Nth prime

Solution 138667

Submitted on 13 Sep 2012 by Carsten
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### Test Suite

Test Status Code Input and Output
1   Pass
%% x = 6; y_correct = 13; assert(isequal(euler007(x),y_correct))

ans = Columns 1 through 10 2 3 5 7 11 13 17 19 23 29 Columns 11 through 20 31 37 41 43 47 53 59 61 67 71 Columns 21 through 30 73 79 83 89 97 101 103 107 109 113 ans = 13

2   Pass
%% x = 10001; y_correct = 104743; assert(isequal(euler007(x),y_correct))

ans = Columns 1 through 5 2 3 5 7 11 Columns 6 through 10 13 17 19 23 29 Columns 11 through 15 31 37 41 43 47 Columns 16 through 20 53 59 61 67 71 Columns 21 through 25 73 79 83 89 97 Columns 26 through 30 101 103 107 109 113 Columns 31 through 35 127 131 137 139 149 Columns 36 through 40 151 157 163 167 173 Columns 41 through 45 179 181 191 193 197 Columns 46 through 50 199 211 223 227 229 Columns 51 through 55 233 239 241 251 257 Columns 56 through 60 263 269 271 277 281 Columns 61 through 65 283 293 307 311 313 Columns 66 through 70 317 331 337 347 349 Columns 71 through 75 353 359 367 373 379 Columns 76 through 80 383 389 397 401 409 Columns 81 through 85 419 421 431 433 439 Columns 86 through 90 443 449 457 461 463 Columns 91 through 95 467 479 487 491 499 Columns 96 through 100 503 509 521 523 541 Columns 101 through 105 547 557 563 569 571 Columns 106 through 110 577 587 593 599 601 Columns 111 through 115 607 613 617 619 631 Columns 116 through 120 641 643 647 653 659 Columns 121 through 125 661 673 677 683 691 Columns 126 through 130 701 709 719 727 733 Columns 131 through 135 739 743 751 757 761 Columns 136 through 140 769 773 787 797 809 Columns 141 through 145 811 821 823 827 829 Columns 146 through 150 839 853 857 859 863 Columns 151 through 155 877 881 883 887 907 Columns 156 through 160 911 919 929 937 941 Columns 161 through 165 947 953 967 971 977 Columns 166 through 170 983 991 997 1009 1013 Columns 171 through 175 1019 1021 1031 1033 1039 Columns 176 through 180 1049 1051 1061 1063 1069 Columns 181 through 185 1087 1091 1093 1097 1103 Columns 186 through 190 1109 1117 1123 1129 1151 Columns 191 through 195 1153 1163 1171 1181 1187 Columns 196 through 200 1193 1201 1213 1217 1223 Columns 201 through 205 1229 1231 1237 1249 1259 Columns 206 through 210 1277 1279 1283 1289 1291 Columns 211 through 215 1297 1301 1303 1307 1319 Columns 216 through 220 1321 1327 1361 1367 1373 Columns 221 through 225 1381 1399 1409 1423 1427 Columns 226 through 230 1429 1433 1439 1447 1451 Columns 231 through 235 1453 1459 1471 1481 1483 Columns 236 through 240 1487 1489 1493 1499 1511 Columns 241 through 245 1523 1531 1543 1549 1553 Columns 246 through 250 1559 1567 1571 1579 1583 Columns 251 through 255 1597 1601 1607 1609 1613 Columns 256 through 260 1619 1621 1627 1637 1657 Columns 261 through 265 1663 1667 1669 1693 1697 Columns 266 through 270 1699 1709 1721 1723 1733 Columns 271 through 275 1741 1747 1753 1759 1777 Columns 276 through 280 1783 1787 1789 1801 1811 Columns 281 through 285 1823 1831 1847 1861 1867 Columns 286 through 290 1871 1873 1877 1879 1889 Columns 291 through 295 1901 1907 1913 1931 1933 Columns 296 through 300 1949 1951 1973 1979 1987 Columns 301 through 305 1993 1997 1999 2003 2011 Columns 306 through 310 2017 2027 2029 2039 2053 Columns 311 through 315 2063 2069 2081 2083 2087 Columns 316 through 320 2089 2099 2111 2113 2129 Columns 321 through 325 2131 2137 2141 2143 2153 Columns 326 through 330 2161 2179 2203 2207 2213 Columns 331 through 335 2221 2237 2239 2243 2251 Columns 336 through 340 2267 2269 2273 2281 2287 Columns 341 through 345 2293 2297 2309 2311 2333 Columns 346 through 350 2339 2341 2347 2351 2357 Columns 351 through 355 2371 2377 2381 2383 2389 Columns 356 through 360 2393 2399 2411 2417 2423 Columns 361 through 365 2437 2441 2447 2459 2467 Columns 366 through 370 2473 2477 2503 2521 2531 Columns 371 through 375 2539 2543 2549 2551 2557 Columns 376 through 380 2579 2591 2593 2609 2617 Columns 381 through 385 2621 2633 2647 2657 2659 Columns 386 through 390 2663 2671 2677 2683 2687 Columns 391 through 395 2689 2693 2699 2707 2711 Columns 396 through 400 2713 2719 2729 2731 2741 Columns 401 through 405 2749 2753 2767 2777 2789 Columns 406 through 410 2791 2797 2801 2803 2819 Columns 411 through 415 2833 2837 2843 2851 2857 Columns 416 through 420 2861 2879 2887 2897 2903 Columns 421 through 425 2909 2917 2927 2939 2953 Columns 426 through 430 2957 2963 2969 2971 2999 Columns 431 through 435 3001 3011 3019 3023 3037 Columns 436 through 440 3041 3049 3061 3067 3079 Columns 441 through 445 3083 3089 3109 3119 3121 Columns 446 through 450 3137 3163 3167 3169 3181 Columns 451 through 455 3187 3191 3203 3209 3217 Columns 456 through 460 3221 3229 3251 3253 3257 Columns 461 through 465 3259 3271 3299 3301 3307 Columns 466 through 470 3313 3319 3323 3329 3331 Columns 471 through 475 3343 3347 3359 3361 3371 Columns 476 through 480 3373 3389 3391 3407 3413 Columns 481 through 485 3433 3449 3457 3461 3463 Columns 486 through 490 3467 3469 3491 3499 3511 Columns 491 through 495 3517 3527 3529 3533 3539 Columns 496 through 500 3541 3547 3557 3559 3571 Columns 501 through 505 3581 3583 3593 3607 3613 Columns 506 through 510 3617 3623 3631 3637 3643 Columns 511 through 515 3659 3671 3673 3677 3691 Columns 516 through 520 3697 3701 3709 3719 3727 Columns 521 through 525 3733 3739 3761 3767 3769 Columns 526 through 530 3779 3793 3797 3803 3821 Columns 531 through 535 3823 3833 3847 3851 3853 Columns 536 through 540 3863 3877 3881 3889 3907 Columns 541 through 545 3911 3917 3919 3923 3929 Columns 546 through 550 3931 3943 3947 3967 3989 Columns 551 through 555 4001 4003 4007 4013 4019 Columns 556 through 560 4021 4027 4049 4051 4057 Columns 561 through 565 4073 4079 4091 4093 4099 Columns 566 through 570 4111 4127 4129 4133 4139 Columns 571 through 575 4153 4157 4159 4177 4201 Columns 576 through 580 ...

3   Pass
%% x = 123456; y_correct = 1632899; assert(isequal(euler007(x),y_correct))

ans = Columns 1 through 5 2 3 5 7 11 Columns 6 through 10 13 17 19 23 29 Columns 11 through 15 31 37 41 43 47 Columns 16 through 20 53 59 61 67 71 Columns 21 through 25 73 79 83 89 97 Columns 26 through 30 101 103 107 109 113 Columns 31 through 35 127 131 137 139 149 Columns 36 through 40 151 157 163 167 173 Columns 41 through 45 179 181 191 193 197 Columns 46 through 50 199 211 223 227 229 Columns 51 through 55 233 239 241 251 257 Columns 56 through 60 263 269 271 277 281 Columns 61 through 65 283 293 307 311 313 Columns 66 through 70 317 331 337 347 349 Columns 71 through 75 353 359 367 373 379 Columns 76 through 80 383 389 397 401 409 Columns 81 through 85 419 421 431 433 439 Columns 86 through 90 443 449 457 461 463 Columns 91 through 95 467 479 487 491 499 Columns 96 through 100 503 509 521 523 541 Columns 101 through 105 547 557 563 569 571 Columns 106 through 110 577 587 593 599 601 Columns 111 through 115 607 613 617 619 631 Columns 116 through 120 641 643 647 653 659 Columns 121 through 125 661 673 677 683 691 Columns 126 through 130 701 709 719 727 733 Columns 131 through 135 739 743 751 757 761 Columns 136 through 140 769 773 787 797 809 Columns 141 through 145 811 821 823 827 829 Columns 146 through 150 839 853 857 859 863 Columns 151 through 155 877 881 883 887 907 Columns 156 through 160 911 919 929 937 941 Columns 161 through 165 947 953 967 971 977 Columns 166 through 170 983 991 997 1009 1013 Columns 171 through 175 1019 1021 1031 1033 1039 Columns 176 through 180 1049 1051 1061 1063 1069 Columns 181 through 185 1087 1091 1093 1097 1103 Columns 186 through 190 1109 1117 1123 1129 1151 Columns 191 through 195 1153 1163 1171 1181 1187 Columns 196 through 200 1193 1201 1213 1217 1223 Columns 201 through 205 1229 1231 1237 1249 1259 Columns 206 through 210 1277 1279 1283 1289 1291 Columns 211 through 215 1297 1301 1303 1307 1319 Columns 216 through 220 1321 1327 1361 1367 1373 Columns 221 through 225 1381 1399 1409 1423 1427 Columns 226 through 230 1429 1433 1439 1447 1451 Columns 231 through 235 1453 1459 1471 1481 1483 Columns 236 through 240 1487 1489 1493 1499 1511 Columns 241 through 245 1523 1531 1543 1549 1553 Columns 246 through 250 1559 1567 1571 1579 1583 Columns 251 through 255 1597 1601 1607 1609 1613 Columns 256 through 260 1619 1621 1627 1637 1657 Columns 261 through 265 1663 1667 1669 1693 1697 Columns 266 through 270 1699 1709 1721 1723 1733 Columns 271 through 275 1741 1747 1753 1759 1777 Columns 276 through 280 1783 1787 1789 1801 1811 Columns 281 through 285 1823 1831 1847 1861 1867 Columns 286 through 290 1871 1873 1877 1879 1889 Columns 291 through 295 1901 1907 1913 1931 1933 Columns 296 through 300 1949 1951 1973 1979 1987 Columns 301 through 305 1993 1997 1999 2003 2011 Columns 306 through 310 2017 2027 2029 2039 2053 Columns 311 through 315 2063 2069 2081 2083 2087 Columns 316 through 320 2089 2099 2111 2113 2129 Columns 321 through 325 2131 2137 2141 2143 2153 Columns 326 through 330 2161 2179 2203 2207 2213 Columns 331 through 335 2221 2237 2239 2243 2251 Columns 336 through 340 2267 2269 2273 2281 2287 Columns 341 through 345 2293 2297 2309 2311 2333 Columns 346 through 350 2339 2341 2347 2351 2357 Columns 351 through 355 2371 2377 2381 2383 2389 Columns 356 through 360 2393 2399 2411 2417 2423 Columns 361 through 365 2437 2441 2447 2459 2467 Columns 366 through 370 2473 2477 2503 2521 2531 Columns 371 through 375 2539 2543 2549 2551 2557 Columns 376 through 380 2579 2591 2593 2609 2617 Columns 381 through 385 2621 2633 2647 2657 2659 Columns 386 through 390 2663 2671 2677 2683 2687 Columns 391 through 395 2689 2693 2699 2707 2711 Columns 396 through 400 2713 2719 2729 2731 2741 Columns 401 through 405 2749 2753 2767 2777 2789 Columns 406 through 410 2791 2797 2801 2803 2819 Columns 411 through 415 2833 2837 2843 2851 2857 Columns 416 through 420 2861 2879 2887 2897 2903 Columns 421 through 425 2909 2917 2927 2939 2953 Columns 426 through 430 2957 2963 2969 2971 2999 Columns 431 through 435 3001 3011 3019 3023 3037 Columns 436 through 440 3041 3049 3061 3067 3079 Columns 441 through 445 3083 3089 3109 3119 3121 Columns 446 through 450 3137 3163 3167 3169 3181 Columns 451 through 455 3187 3191 3203 3209 3217 Columns 456 through 460 3221 3229 3251 3253 3257 Columns 461 through 465 3259 3271 3299 3301 3307 Columns 466 through 470 3313 3319 3323 3329 3331 Columns 471 through 475 3343 3347 3359 3361 3371 Columns 476 through 480 3373 3389 3391 3407 3413 Columns 481 through 485 3433 3449 3457 3461 3463 Columns 486 through 490 3467 3469 3491 3499 3511 Columns 491 through 495 3517 3527 3529 3533 3539 Columns 496 through 500 3541 3547 3557 3559 3571 Columns 501 through 505 3581 3583 3593 3607 3613 Columns 506 through 510 3617 3623 3631 3637 3643 Columns 511 through 515 3659 3671 3673 3677 3691 Columns 516 through 520 3697 3701 3709 3719 3727 Columns 521 through 525 3733 3739 3761 3767 3769 Columns 526 through 530 3779 3793 3797 3803 3821 Columns 531 through 535 3823 3833 3847 3851 3853 Columns 536 through 540 3863 3877 3881 3889 3907 Columns 541 through 545 3911 3917 3919 3923 3929 Columns 546 through 550 3931 3943 3947 3967 3989 Columns 551 through 555 4001 4003 4007 4013 4019 Columns 556 through 560 4021 4027 4049 4051 4057 Columns 561 through 565 4073 4079 4091 4093 4099 Columns 566 through 570 4111 4127 4129 4133 4139 Columns 571 through 575 4153 4157 4159 4177 4201 Columns 576 through 580 ...