Cody

# Problem 60. The Goldbach Conjecture

Solution 81612

Submitted on 24 Apr 2012 by Sunu
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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 p1 = 5 p2 = 23 p1 = 11 p2 = 17 p1 = 17 p2 = 11 p1 = 23 p2 = 5 p1 = 23 p2 = 5 p = Columns 1 through 10 2 3 5 7 11 13 17 19 23 29 Column 11 31 p1 = 3 p2 = 31 p1 = 5 p2 = 29 p1 = 11 p2 = 23 p1 = 17 p2 = 17 p1 = 23 p2 = 11 p1 = 29 p2 = 5 p1 = 31 p2 = 3 p1 = 31 p2 = 3 p = Columns 1 through 10 2 3 5 7 11 13 17 19 23 29 Columns 11 through 12 31 37 p1 = 3 p2 = 37 p1 = 11 p2 = 29 p1 = 17 p2 = 23 p1 = 23 p2 = 17 p1 = 29 p2 = 11 p1 = 37 p2 = 3 p1 = 37 p2 = 3 p = Columns 1 through 10 2 3 5 7 11 13 17 19 23 29 Columns 11 through 14 31 37 41 43 p1 = 3 p2 = 43 p1 = 5 p2 = 41 p1 = 17 p2 = 29 p1 = 23 p2 = 23 p1 = 29 p2 = 17 p1 = 41 p2 = 5 p1 = 43 p2 = 3 p1 = 43 p2 = 3 p = Columns 1 through 10 2 3 5 7 11 13 17 19 23 29 Columns 11 through 15 31 37 41 43 47 p1 = 5 p2 = 47 p1 = 11 p2 = 41 p1 = 23 p2 = 29 p1 = 29 p2 = 23 p1 = 41 p2 = 11 p1 = 47 p2 = 5 p1 = 47 p2 = 5 p = Columns 1 through 10 2 3 5 7 11 13 17 19 23 29 Columns 11 through 16 31 37 41 43 47 53 p1 = 5 p2 = 53 p1 = 11 p2 = 47 p1 = 17 p2 = 41 p1 = 29 p2 = 29 p1 = 41 p2 = 17 p1 = 47 p2 = 11 p1 = 53 p2 = 5 p1 = 53 p2 = 5 p = Columns 1 through 10 2 3 5 7 11 13 17 19 23 29 Columns 11 through 18 31 37 41 43 47 53 59 61 p1 = 3 p2 = 61 p1 = 5 p2 = 59 p1 = 11 p2 = 53 p1 = 17 p2 = 47 p1 = 23 p2 = 41 p1 = 41 p2 = 23 p1 = 47 p2 = 17 p1 = 53 p2 = 11 p1 = 59 p2 = 5 p1 = 61 p2 = 3 p1 = 61 p2 = 3 p = Columns 1 through 10 2 3 5 7 11 13 17 19 23 29 Columns 11 through 19 31 37 41 43 47 53 59 61 67 p1 = 3 p2 = 67 p1 = 11 p2 = 59 p1 = 17 p2 = 53 p1 = 23 p2 = 47 p1 = 29 p2 = 41 p1 = 41 p2 = 29 p1 = 47 p2 = 23 p1 = 53 p2 = 17 p1 = 59 p2 = 11 p1 = 67 p2 = 3 p1 = 67 p2 = 3 p = 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 Column 21 73 p1 = 3 p2 = 73 p1 = 5 p2 = 71 p1 = 17 p2 = 59 p1 = 23 p2 = 53 p1 = 29 p2 = 47 p1 = 47 p2 = 29 p1 = 53 p2 = 23 p1 = 59 p2 = 17 p1 = 71 p2 = 5 p1 = 73 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 p1 = 5 p2 = 13 p1 = 7 p2 = 11 p1 = 11 p2 = 7 p1 = 13 p2 = 5 p1 = 13 p2 = 5 p = 2 3 5 7 11 13 17 19 p1 = 3 p2 = 17 p1 = 7 p2 = 13 p1 = 13 p2 = 7 p1 = 17 p2 = 3 p1 = 17 p2 = 3 p = 2 3 5 7 11 13 17 19 p1 = 3 p2 = 19 p1 = 5 p2 = 17 p1 = 11 p2 = 11 p1 = 17 p2 = 5 p1 = 19 p2 = 3 p1 = 19 p2 = 3 p = 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 25 73 79 83 89 97 p1 = 3 p2 = 97 p1 = 11 p2 = 89 p1 = 17 p2 = 83 p1 = 29 p2 = 71 p1 = 41 p2 = 59 p1 = 47 p2 = 53 p1 = 53 p2 = 47 p1 = 59 p2 = 41 p1 = 71 p2 = 29 p1 = 83 p2 = 17 p1 = 89 p2 = 11 p1 = 97 p2 = 3 p1 = 97 p2 = 3 p = 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 26 73 79 83 89 97 101 p1 = 5 p2 = 97 p1 = 13 p2 = 89 p1 = 19 p2 = 83 p1 = 23 p2 = 79 p1 = 29 p2 = 73 p1 = 31 p2 = 71 p1 = 41 p2 = 61 p1 = 43 p2 = 59 p1 = 59 p2 = 43 p1 = 61 p2 = 41 p1 = 71 p2 = 31 p1 = 73 p2 = 29 p1 = 79 p2 = 23 p1 = 83 p2 = 19 p1 = 89 p2 = 13 p1 = 97 p2 = 5 p1 = 97 p2 = 5 p = 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 p1 = 5 p2 = 109 p1 = 7 p2 = 107 p1 = 11 p2 = 103 p1 = 13 p2 = 101 p1 = 17 p2 = 97 p1 = 31 p2 = 83 p1 = 41 p2 = 73 p1 = 43 p2 = 71 p1 = 47 p2 = 67 p1 = 53 p2 = 61 p1 = 61 p2 = 53 p1 = 67 p2 = 47 p1 = 71 p2 = 43 p1 = 73 p2 = 41 p1 = 83 p2 = 31 p1 = 97 p2 = 17 p1 = 101 p2 = 13 p1 = 103 p2 = 11 p1 = 107 p2 = 7 p1 = 109 p2 = 5 p1 = 109 p2 = 5 p = 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 Columns 31 through 40 127 131 137 139 149 151 157 163 167 173 Columns 41 through 50 179 181 191 193 197 199 211 223 227 229 Columns 51 through 60 233 239 241 251 257 263 269 271 277 281 Columns 61 through 70 283 293 307 311 313 317 331 337 347 349 Columns 71 through 80 353 359 367 373 379 383 389 397 401 409 Columns 81 through 90 419 421 431 433 439 443 449 457 461 463 Columns 91 through 100 467 479 487 491 499 503 509 521 523 541 Columns 101 through 110 547 557 563 569 571 577 587 593 599 601 Columns 111 through 120 607 613 617 619 631 641 643 647 653 659 Columns 121 through 130 661 673 677 683 691 701 709 719 727 733 Columns 131 through 140 739 743 751 757 761 769 773 787 797 809 Columns 141 through 150 811 821 823 827 829 839 853 857 859 863 Columns 151 through 160 877 881 883 887 907 911 919 929 937 941 Columns 161 through 168 947 953 967 971 977 983 991 997 p1 = 3 p2 = 997 p1 = 17 p2 = 983 p1 = 23 p2 = 977 p1 = 29 p2 = 971 p1 = 47 p2 = 953 p1 = 53 p2 = 947 p1 = 59 p2 = 941 p1 = 71 p2 = 929 p1 = 89 p2 = 911 p1 = 113 p2 = 887 p1 = 137 p2 = 863 p1 = 173 p2 = 827 p1 = 179 p2 = 821 p1 = 191 p2 = 809 p1 = 227 p2 = 773 p1 = 239 p2 = 761 p1 = 257 p2 = 743 p1 = 281 p2 = 719 p1 = 317 p2 = 683 p1 = 347 p2 = 653 p1 = 353 p2 = 647 p1 = 359 p2 = 641 p1 = 383 p2 = 617 p1 = 401 p2 = 599 p1 = 431 p2 = 569 p1 = 443 p2 = 557 p1 = 479 p2 = 521 p1 = 491 p2 = 509 p1 = 509 p2 = 491 p1 = 521 p2 = 479 p1 = 557 p2 = 443 p1 = 569 p2 = 431 p1 = 599 p2 = 401 p1 = 617 p2 = 383 p1 = 641 p2 = 359 p1 = 647 p2 = 353 p1 = 653 p2 = 347 p1 = 683 p2 = 317 p1 = 719 p2 = 281 p1 = 743 p2 = 257 p1 = 761 p2 = 239 p1 = 773 p2 = 227 p1 = 809 p2 = 191 p1 = 821 p2 = 179 p1 = 827 p2 = 173 p1 = 863 p2 = 137 p1 = 887 p2 = 113 p1 = 911 p2 = 89 p1 = 929 p2 = 71 p1 = 941 p2 = 59 p1 = 947 p2 = 53 p1 = 953 p2 = 47 p1 = 971 p2 = 29 p1 = 977 p2 = 23 p1 = 983 p2 = 17 p1 = 997 p2 = 3 p1 = 997 p2 = 3 p = 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 ...

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