Cody

# Problem 60. The Goldbach Conjecture

Solution 116820

Submitted on 21 Jul 2012 by Dimosthenis
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### Test Suite

Test Status Code Input and Output
1   Pass
%% nList = 28:6:76; for i = 1:length(nList) n = nList(i); [p1,p2] = goldbach(n) assert(isprime(p1) && isprime(p2) && (p1+p2==n)); end

p = 2 3 5 7 11 13 17 19 23 p2 = 23 p2 = 17 p2 = 11 p2 = 5 p1 = 23 p2 = 5 p = 2 3 5 7 11 13 17 19 23 29 31 p2 = 31 p2 = 29 p2 = 23 p2 = 17 p2 = 11 p2 = 5 p2 = 3 p1 = 31 p2 = 3 p = 2 3 5 7 11 13 17 19 23 29 31 37 p2 = 37 p2 = 29 p2 = 23 p2 = 17 p2 = 11 p2 = 3 p1 = 37 p2 = 3 p = 2 3 5 7 11 13 17 19 23 29 31 37 41 43 p2 = 43 p2 = 41 p2 = 29 p2 = 23 p2 = 17 p2 = 5 p2 = 3 p1 = 43 p2 = 3 p = 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 p2 = 47 p2 = 41 p2 = 29 p2 = 23 p2 = 11 p2 = 5 p1 = 47 p2 = 5 p = 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 p2 = 53 p2 = 47 p2 = 41 p2 = 29 p2 = 17 p2 = 11 p2 = 5 p1 = 53 p2 = 5 p = Columns 1 through 16 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 Columns 17 through 18 59 61 p2 = 61 p2 = 59 p2 = 53 p2 = 47 p2 = 41 p2 = 23 p2 = 17 p2 = 11 p2 = 5 p2 = 3 p1 = 61 p2 = 3 p = Columns 1 through 16 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 Columns 17 through 19 59 61 67 p2 = 67 p2 = 59 p2 = 53 p2 = 47 p2 = 41 p2 = 29 p2 = 23 p2 = 17 p2 = 11 p2 = 3 p1 = 67 p2 = 3 p = Columns 1 through 16 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 Columns 17 through 21 59 61 67 71 73 p2 = 73 p2 = 71 p2 = 59 p2 = 53 p2 = 47 p2 = 29 p2 = 23 p2 = 17 p2 = 5 p2 = 3 p1 = 73 p2 = 3

2   Pass
%% nList = [18 20 22 100 102 114 1000 2000 36 3600]; for i = 1:length(nList) n = nList(i); [p1,p2] = goldbach(n) assert(isprime(p1) && isprime(p2) && (p1+p2==n)); end

p = 2 3 5 7 11 13 17 p2 = 13 p2 = 11 p2 = 7 p2 = 5 p1 = 13 p2 = 5 p = 2 3 5 7 11 13 17 19 p2 = 17 p2 = 13 p2 = 7 p2 = 3 p1 = 17 p2 = 3 p = 2 3 5 7 11 13 17 19 p2 = 19 p2 = 17 p2 = 11 p2 = 5 p2 = 3 p1 = 19 p2 = 3 p = Columns 1 through 16 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 Columns 17 through 25 59 61 67 71 73 79 83 89 97 p2 = 97 p2 = 89 p2 = 83 p2 = 71 p2 = 59 p2 = 53 p2 = 47 p2 = 41 p2 = 29 p2 = 17 p2 = 11 p2 = 3 p1 = 97 p2 = 3 p = Columns 1 through 16 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 Columns 17 through 26 59 61 67 71 73 79 83 89 97 101 p2 = 97 p2 = 89 p2 = 83 p2 = 79 p2 = 73 p2 = 71 p2 = 61 p2 = 59 p2 = 43 p2 = 41 p2 = 31 p2 = 29 p2 = 23 p2 = 19 p2 = 13 p2 = 5 p1 = 97 p2 = 5 p = Columns 1 through 16 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 Columns 17 through 30 59 61 67 71 73 79 83 89 97 101 103 107 109 113 p2 = 109 p2 = 107 p2 = 103 p2 = 101 p2 = 97 p2 = 83 p2 = 73 p2 = 71 p2 = 67 p2 = 61 p2 = 53 p2 = 47 p2 = 43 p2 = 41 p2 = 31 p2 = 17 p2 = 13 p2 = 11 p2 = 7 p2 = 5 p1 = 109 p2 = 5 p = Columns 1 through 16 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 Columns 17 through 32 59 61 67 71 73 79 83 89 97 101 103 107 109 113 127 131 Columns 33 through 48 137 139 149 151 157 163 167 173 179 181 191 193 197 199 211 223 Columns 49 through 64 227 229 233 239 241 251 257 263 269 271 277 281 283 293 307 311 Columns 65 through 80 313 317 331 337 347 349 353 359 367 373 379 383 389 397 401 409 Columns 81 through 96 419 421 431 433 439 443 449 457 461 463 467 479 487 491 499 503 Columns 97 through 112 509 521 523 541 547 557 563 569 571 577 587 593 599 601 607 613 Columns 113 through 128 617 619 631 641 643 647 653 659 661 673 677 683 691 701 709 719 Columns 129 through 144 727 733 739 743 751 757 761 769 773 787 797 809 811 821 823 827 Columns 145 through 160 829 839 853 857 859 863 877 881 883 887 907 911 919 929 937 941 Columns 161 through 168 947 953 967 971 977 983 991 997 p2 = 997 p2 = 983 p2 = 977 p2 = 971 p2 = 953 p2 = 947 p2 = 941 p2 = 929 p2 = 911 p2 = 887 p2 = 863 p2 = 827 p2 = 821 p2 = 809 p2 = 773 p2 = 761 p2 = 743 p2 = 719 p2 = 683 p2 = 653 p2 = 647 p2 = 641 p2 = 617 p2 = 599 p2 = 569 p2 = 557 p2 = 521 p2 = 509 p2 = 491 p2 = 479 p2 = 443 p2 = 431 p2 = 401 p2 = 383 p2 = 359 p2 = 353 p2 = 347 p2 = 317 p2 = 281 p2 = 257 p2 = 239 p2 = 227 p2 = 191 p2 = 179 p2 = 173 p2 = 137 p2 = 113 p2 = 89 p2 = 71 p2 = 59 p2 = 53 p2 = 47 p2 = 29 p2 = 23 p2 = 17 p2 = 3 p1 = 997 p2 = 3 p = Columns 1 through 8 2 3 5 7 11 13 17 19 Columns 9 through 16 23 29 31 37 41 43 47 53 Columns 17 through 24 59 61 67 71 73 79 83 89 Columns 25 through 32 97 101 103 107 109 113 127 131 Columns 33 through 40 137 139 149 151 157 163 167 173 Columns 41 through 48 179 181 191 193 197 199 211 223 Columns 49 through 56 227 229 233 239 241 251 257 263 Columns 57 through 64 269 271 277 281 283 293 307 311 Columns 65 through 72 313 317 331 337 347 349 353 359 Columns 73 through 80 367 373 379 383 389 397 401 409 Columns 81 through 88 419 421 431 433 439 443 449 457 Columns 89 through 96 461 463 467 479 487 491 499 503 Columns 97 through 104 509 521 523 541 547 557 563 569 Columns 105 through 112 571 577 587 593 599 601 607 613 Columns 113 through 120 617 619 631 641 643 647 653 659 Columns 121 through 128 661 673 677 683 691 701 709 719 Columns 129 through 136 727 733 739 743 751 757 761 769 Columns 137 through 144 773 787 797 809 811 821 823 827 Columns 145 through 152 829 839 853 857 859 863 877 881 Columns 153 through 160 883 887 907 911 919 929 937 941 Columns 161 through 168 947 953 967 971 977 983 991 997 Columns 169 through 176 1009 1013 1019 1021 1031 1033 1039 1049 Columns 177 through 184 1051 1061 1063 1069 1087 1091 1093 1097 Columns 185 through 192 1103 1109 1117 1123 1129 1151 1153 1163 Columns 193 through 200 1171 1181 1187 1193 1201 1213 1217 1223 Columns 201 through 208 1229 1231 1237 1249 1259 1277 1279 1283 Columns 209 through 216 1289 1291 1297 1301 1303 1307 1319 1321 Columns 217 through 224 1327 1361 1367 1373 1381 1399 1409 1423 Columns 225 through 232 1427 1429 1433 1439 1447 1451 1453 1459 Columns 233 through 240 1471 1481 1483 1487 1489 1493 1499 1511 Columns 241 through 248 1523 1531 1543 1549 1553 1559 1567 1571 Columns 249 through 256 1579 1583 1597 1601 1607 1609 1613 1619 Columns 257 through 264 1621 1627 1637 1657 1663 1667 1669 1693 Columns 265 through 272 1697 1699 1709 1721 1723 1733 1741 1747 Columns 273 through 280 1753 1759 1777 1783 1787 1789 1801 1811 Columns 281 through 288 1823 1831 1847 1861 1867 1871 1873 1877 Columns 289 through 296 1879 1889 1901 1907 1913 1931 1933 1949 Columns 297 through 303 1951 1973 1979 1987 1993 1997 1999 p2 = 1997 p2 = 1993 p2 = 1987 p2 = 1933 p2 = 1873 p2 = 1861 p2 = 1801 p2 = 1789 p2 = 1777 p2 = 1759 p2 = 1723 p2 = 1693 p2 = 1669 p2 = 1663 p2 = 1627 p2 = 1621 p2 = 1579 p2 = 1567 p2 = 1543 p2 = 1459 p2 = 1453 p2 = 1429 p2 = 1423 p2 = 1399 p2 = 1381 p2 = 1327 p2 = 1291 p2 = 1249 p2 = 1231 p2 = 1213 p2 = 1171 p2 = 1123 p2 = 1117 p2 = 1093 p2 = 1063 p2 = 1033 p2 = 1009 p2 = 991 p2 = 967 p2 = 937 p2 = 907 p2 = 883 p2 = 877 p2 = 829 p2 = 787 p2 = 769 p2 = 751 p2 = 709 p2 = 673 p2 = 619 p2 = 601 p2 = 577 p2 = 571 p2 = 547 p2 = 541 p2 = 457 p2 = 433 p2 = 421 p2 = 379 p2 = 373 p2 = 337 p2 = 331 p2 = 307 p2 = 277 p2 = 241 p2 = 223 p2 = 211 p2 = 199 p2 = 139 p2 = 127 p2 = 67 p2 = 13 p2 = 7 p2 = 3 p1 = 1997 p2 = 3 p = 2 3 5 7 11 13 17 19 23 29 31 p2 = 31 p2 = 29 p2 = 23 p2 = 19 p2 = 17 p2 = 13 p2 = 7 p2 = 5 p1 = 31 p2 = 5 p = Columns 1 through 8 2 3 5 7 11 13 17 19 Columns 9 through 16 23 29 31 37 41 43 47 53 Columns 17 through 24 59 61 67 71 73 79 83 89 ...