Square-free integers: Difference between revisions
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square free numbers between 1 and 100 000: 60794 |
square free numbers between 1 and 100 000: 60794 |
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square free numbers between 1 and 1 000 000: 607926</pre> |
square free numbers between 1 and 1 000 000: 607926</pre> |
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=={{header|Arturo}}== |
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<syntaxhighlight lang="arturo">squareFree?: function [n][ |
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mx: to :integer sqrt n |
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loop 2..mx 'r -> |
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if zero? n % r ^ 2 -> return false |
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return true |
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] |
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sqFreeUpTo145: [1 2 3] ++ select 1..145 => squareFree? |
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print "Square-free integers from 1 to 145:" |
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loop split.every: 20 sqFreeUpTo145 'x -> |
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print map x 's -> pad to :string s 4 |
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print "" |
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sqFreeUpToTrillion: select 1000000000000..1000000000145 => squareFree? |
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print "Square-free integers from 1000000000000 to 1000000000145:" |
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loop split.every: 5 sqFreeUpToTrillion 'x -> |
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print map x 's -> pad to :string s 14 |
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print "" |
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print ["Number of square-free numbers between 1 and 100: " s100: <= 3 + enumerate 1..100 => squareFree?] |
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print ["Number of square-free numbers between 1 and 1000: " s1000: <= s100 + enumerate 101..1000 => squareFree?] |
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print ["Number of square-free numbers between 1 and 10000: " s10000: <= s1000 + enumerate 1001..10000 => squareFree?] |
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print ["Number of square-free numbers between 1 and 100000: " s100000: <= s10000 + enumerate 10001..100000 => squareFree?] |
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print ["Number of square-free numbers between 1 and 1000000: " s100000 + enumerate 100001..1000000 => squareFree?]</syntaxhighlight> |
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{{out}} |
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<pre>Square-free integers from 1 to 145: |
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1 2 3 5 6 7 10 11 13 14 15 17 19 21 22 23 26 29 30 31 |
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33 34 35 37 38 39 41 42 43 46 47 51 53 55 57 58 59 61 62 65 |
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66 67 69 70 71 73 74 77 78 79 82 83 85 86 87 89 91 93 94 95 |
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97 101 102 103 105 106 107 109 110 111 113 114 115 118 119 122 123 127 129 130 |
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131 133 134 137 138 139 141 142 143 145 |
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Square-free integers from 1000000000000 to 1000000000145: |
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1000000000001 1000000000002 1000000000003 1000000000005 1000000000006 |
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1000000000007 1000000000009 1000000000011 1000000000013 1000000000014 |
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1000000000015 1000000000018 1000000000019 1000000000021 1000000000022 |
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1000000000023 1000000000027 1000000000029 1000000000030 1000000000031 |
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1000000000033 1000000000037 1000000000038 1000000000039 1000000000041 |
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1000000000042 1000000000043 1000000000045 1000000000046 1000000000047 |
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1000000000049 1000000000051 1000000000054 1000000000055 1000000000057 |
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1000000000058 1000000000059 1000000000061 1000000000063 1000000000065 |
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1000000000066 1000000000067 1000000000069 1000000000070 1000000000073 |
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1000000000074 1000000000077 1000000000078 1000000000079 1000000000081 |
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1000000000082 1000000000085 1000000000086 1000000000087 1000000000090 |
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1000000000091 1000000000093 1000000000094 1000000000095 1000000000097 |
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1000000000099 1000000000101 1000000000102 1000000000103 1000000000105 |
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1000000000106 1000000000109 1000000000111 1000000000113 1000000000114 |
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1000000000115 1000000000117 1000000000118 1000000000119 1000000000121 |
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1000000000122 1000000000123 1000000000126 1000000000127 1000000000129 |
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1000000000130 1000000000133 1000000000135 1000000000137 1000000000138 |
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1000000000139 1000000000141 1000000000142 1000000000145 |
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Number of square-free numbers between 1 and 100: 61 |
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Number of square-free numbers between 1 and 1000: 608 |
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Number of square-free numbers between 1 and 10000: 6083 |
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Number of square-free numbers between 1 and 100000: 60794 |
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Number of square-free numbers between 1 and 1000000: 607926</pre> |
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=={{header|AWK}}== |
=={{header|AWK}}== |