Cody

# Problem 60. The Goldbach Conjecture

Solution 1255950

Submitted on 23 Aug 2017 by Michael Böhm
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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

a = 2 3 5 7 11 13 17 19 23 b = 0 c = logical 0 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 5 p2 = 23 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 11 p2 = 17 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 17 p2 = 11 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 23 p2 = 5 p1 = 23 p2 = 5 a = 2 3 5 7 11 13 17 19 23 29 31 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 3 p2 = 31 b = 0 c = logical 1 p1 = 5 p2 = 29 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 11 p2 = 23 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 17 p2 = 17 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 23 p2 = 11 b = 0 c = logical 1 p1 = 29 p2 = 5 b = 0 c = logical 1 p1 = 31 p2 = 3 p1 = 31 p2 = 3 a = 2 3 5 7 11 13 17 19 23 29 31 37 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 3 p2 = 37 b = 0 c = logical 0 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 11 p2 = 29 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 17 p2 = 23 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 23 p2 = 17 b = 0 c = logical 1 p1 = 29 p2 = 11 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 37 p2 = 3 p1 = 37 p2 = 3 a = 2 3 5 7 11 13 17 19 23 29 31 37 41 43 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 3 p2 = 43 b = 0 c = logical 1 p1 = 5 p2 = 41 b = 0 c = logical 0 b = 0 c = logical 0 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 17 p2 = 29 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 23 p2 = 23 b = 0 c = logical 1 p1 = 29 p2 = 17 b = 0 c = logical 0 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 41 p2 = 5 b = 0 c = logical 1 p1 = 43 p2 = 3 p1 = 43 p2 = 3 a = 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 b = 0 c = logical 0 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 5 p2 = 47 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 11 p2 = 41 b = 0 c = logical 0 b = 0 c = logical 0 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 23 p2 = 29 b = 0 c = logical 1 p1 = 29 p2 = 23 b = 0 c = logical 0 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 41 p2 = 11 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 47 p2 = 5 p1 = 47 p2 = 5 a = 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 b = 0 c = logical 0 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 5 p2 = 53 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 11 p2 = 47 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 17 p2 = 41 b = 0 c = logical 0 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 29 p2 = 29 b = 0 c = logical 0 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 41 p2 = 17 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 47 p2 = 11 b = 0 c = logical 1 p1 = 53 p2 = 5 p1 = 53 p2 = 5 a = 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 3 p2 = 61 b = 0 c = logical 1 p1 = 5 p2 = 59 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 11 p2 = 53 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 17 p2 = 47 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 23 p2 = 41 b = 0 c = logical 0 b = 0 c = logical 0 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 41 p2 = 23 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 47 p2 = 17 b = 0 c = logical 1 p1 = 53 p2 = 11 b = 0 c = logical 1 p1 = 59 p2 = 5 b = 0 c = logical 1 p1 = 61 p2 = 3 p1 = 61 p2 = 3 a = 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 3 p2 = 67 b = 0 c = logical 0 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 11 p2 = 59 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 17 p2 = 53 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 23 p2 = 47 b = 0 c = logical 1 p1 = 29 p2 = 41 b = 0 c = logical 0 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 41 p2 = 29 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 47 p2 = 23 b = 0 c = logical 1 p1 = 53 p2 = 17 b = 0 c = logical 1 p1 = 59 p2 = 11 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 67 p2 = 3 p1 = 67 p2 = 3 a = 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 3 p2 = 73 b = 0 c = logical 1 p1 = 5 p2 = 71 b = 0 c = logical 0 b = 0 c = logical 0 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 17 p2 = 59 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 23 p2 = 53 b = 0 c = logical 1 p1 = 29 p2 = 47 b = 0 c = logical 0 b = 0 c = logical 0 b = 0 c = logical 0 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 47 p2 = 29 b = 0 c = logical 1 p1 = 53 p2 = 23 b = 0 c = logical 1 p1 = 59 p2 = 17 b = 0 c = logical 0 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 71 p2 = 5 b = 0 c = logical 1 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

a = 2 3 5 7 11 13 17 b = 0 c = logical 0 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 5 p2 = 13 b = 0 c = logical 1 p1 = 7 p2 = 11 b = 0 c = logical 1 p1 = 11 p2 = 7 b = 0 c = logical 1 p1 = 13 p2 = 5 b = 0 c = logical 0 p1 = 13 p2 = 5 a = 2 3 5 7 11 13 17 19 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 3 p2 = 17 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 7 p2 = 13 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 13 p2 = 7 b = 0 c = logical 1 p1 = 17 p2 = 3 b = 0 c = logical 0 p1 = 17 p2 = 3 a = 2 3 5 7 11 13 17 19 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 3 p2 = 19 b = 0 c = logical 1 p1 = 5 p2 = 17 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 11 p2 = 11 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 17 p2 = 5 b = 0 c = logical 1 p1 = 19 p2 = 3 p1 = 19 p2 = 3 a = 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 3 p2 = 97 b = 0 c = logical 0 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 11 p2 = 89 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 17 p2 = 83 b = 0 c = logical 0 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 29 p2 = 71 b = 0 c = logical 0 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 41 p2 = 59 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 47 p2 = 53 b = 0 c = logical 1 p1 = 53 p2 = 47 b = 0 c = logical 1 p1 = 59 p2 = 41 b = 0 c = logical 0 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 71 p2 = 29 b = 0 c = logical 0 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 83 p2 = 17 b = 0 c = logical 1 p1 = 89 p2 = 11 b = 0 c = logical 1 p1 = 97 p2 = 3 p1 = 97 p2 = 3 a = 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97 101 b = 0 c = logical 0 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 5 p2 = 97 b = 0 c = logical 0 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 13 p2 = 89 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 19 p2 = 83 b = 0 c = logical 1 p1 = 23 p2 = 79 b = 0 c = logical 1 p1 = 29 p2 = 73 b = 0 c = logical 1 p1 = 31 p2 = 71 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 41 p2 = 61 b = 0 c = logical 1 p1 = 43 p2 = 59 b = 0 c = logical 0 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 59 p2 = 43 b = 0 c = logical 1 p1 = 61 p2 = 41 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 71 p2 = 31 b = 0 c = logical 1 p1 = 73 p2 = 29 b = 0 c = logical 1 p1 = 79 p2 = 23 b = 0 c = logical 1 p1 = 83 p2 = 19 b = 0 c = logical 1 p1 = 89 p2 = 13 b = 0 c = logical 1 p1 = 97 p2 = 5 b = 0 c = logical 0 p1 = 97 p2 = 5 a = Columns 1 through 29 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97 101 103 107 109 Column 30 113 b = 0 c = logical 0 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 5 p2 = 109 b = 0 c = logical 1 p1 = 7 p2 = 107 b = 0 c = logical 1 p1 = 11 p2 = 103 b = 0 c = logical 1 p1 = 13 p2 = 101 b = 0 c = logical 1 p1 = 17 p2 = 97 b = 0 c = logical 0 b = 0 c = logical 0 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 31 p2 = 83 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 41 p2 = 73 b = 0 c = logical 1 p1 = 43 p2 = 71 b = 0 c = logical 1 p1 = 47 p2 = 67 b = 0 c = logical 1 p1 = 53 p2 = 61 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 61 p2 = 53 b = 0 c = logical 1 p1 = 67 p2 = 47 b = 0 c = logical 1 p1 = 71 p2 = 43 b = 0 c = logical 1 p1 = 73 p2 = 41 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 83 p2 = 31 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 97 p2 = 17 b = 0 c = logical 1 p1 = 101 p2 = 13 b = 0 c = logical 1 p1 = 103 p2 = 11 b = 0 c = logical 1 p1 = 107 p2 = 7 b = 0 c = logical 1 p1 = 109 p2 = 5 b = 0 c = logical 0 p1 = 109 p2 = 5 a = Columns 1 through 29 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97 101 103 107 109 Columns 30 through 58 113 127 131 137 139 149 151 157 163 167 173 179 181 191 193 197 199 211 223 227 229 233 239 241 251 257 263 269 271 Columns 59 through 87 277 281 283 293 307 311 313 317 331 337 347 349 353 359 367 373 379 383 389 397 401 409 419 421 431 433 439 443 449 Columns 88 through 116 457 461 463 467 479 487 491 499 503 509 521 523 541 547 557 563 569 571 577 587 593 599 601 607 613 617 619 631 641 Columns 117 through 145 643 647 653 659 661 673 677 683 691 701 709 719 727 733 739 743 751 757 761 769 773 787 797 809 811 821 823 827 829 Columns 146 through 168 839 853 857 859 863 877 881 883 887 907 911 919 929 937 941 947 953 967 971 977 983 991 997 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 3 p2 = 997 b = 0 c = logical 0 b = 0 c = logical 0 b = 0 c = logical 0 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 17 p2 = 983 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 23 p2 = 977 b = 0 c = logical 1 p1 = 29 p2 = 971 b = 0 c = logical 0 b = 0 c = logical 0 b = 0 c = logical 0 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 47 p2 = 953 b = 0 c = logical 1 p1 = 53 p2 = 947 b = 0 c = logical 1 p1 = 59 p2 = 941 b = 0 c = logical 0 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 71 p2 = 929 b = 0 c = logical 0 b = 0 c = logical 0 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 89 p2 = 911 b = 0 c = logical 0 b = 0 c = logical 0 b = 0 c = logical 0 b = 0 c = logical 0 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 113 p2 = 887 b = 0 c = logical 0 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 137 p2 = 863 b = 0 c = logical 0 b = 0 c = logical 0 b = 0 c = logical 0 b = 0 c = logical 0 b = 0 c = logical 0 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 173 p2 = 827 b = 0 c = logical 1 p1 = 179 p2 = 821 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 191 p2 = 809 b = 0 c = logical 0 b = 0 c = logical 0 b = 0 c = logical 0 b = 0 c = logical 0 b = 0 c = logical 0 b = 0 c = logical 1 p1 = 227 p2 ...

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