Data update

This commit is contained in:
Ingy döt Net 2024-03-06 22:25:12 -08:00
parent ed705008a8
commit 0df55f9f24
2196 changed files with 32999 additions and 3075 deletions

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on isArithmetic(n)
if (n < 4) then
if (n < 0) then return {arithmetic:false, composite:missing value}
return {arithmetic:(n mod 2 = 1), composite:false}
end if
set factorSum to 1 + n
set factorCount to 2
set sqrt to n ^ 0.5
set limit to sqrt div 1
if (limit = sqrt) then
set factorSum to factorSum + limit
set factorCount to 3
set limit to limit - 1
end if
repeat with i from 2 to limit
if (n mod i = 0) then
set factorSum to factorSum + i + n div i
set factorCount to factorCount + 2
end if
end repeat
return {arithmetic:(factorSum mod factorCount = 0), composite:(factorCount > 2)}
end isArithmetic
on task()
set output to {linefeed & "The first 100 arithmetic numbers are:"}
set {n, hitCount, compositeCount, pad} to {0, 0, 0, " "}
repeat 10 times
set row to {}
set targetCount to hitCount + 10
repeat until (hitCount = targetCount)
set n to n + 1
tell isArithmetic(n) to if (its arithmetic) then
set hitCount to hitCount + 1
if (its composite) then set compositeCount to compositeCount + 1
set row's end to text -4 thru -1 of (pad & n)
end if
end repeat
set output's end to join(row, "")
end repeat
repeat with targetCount in {1000, 10000, 100000, 1000000}
repeat while (hitCount < targetCount)
set n to n + 1
tell isArithmetic(n) to if (its arithmetic) then
set hitCount to hitCount + 1
if (its composite) then set compositeCount to compositeCount + 1
end if
end repeat
set output's end to (linefeed & "The " & targetCount & "th arithmetic number is " & n) & ¬
(linefeed & "(" & compositeCount & " composite numbers up to here)")
end repeat
return join(output, linefeed)
end task
on join(lst, delim)
set astid to AppleScript's text item delimiters
set AppleScript's text item delimiters to delim
set txt to lst as text
set AppleScript's text item delimiters to astid
return txt
end join
task()

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"
The first 100 arithmetic numbers are:
1 3 5 6 7 11 13 14 15 17
19 20 21 22 23 27 29 30 31 33
35 37 38 39 41 42 43 44 45 46
47 49 51 53 54 55 56 57 59 60
61 62 65 66 67 68 69 70 71 73
77 78 79 83 85 86 87 89 91 92
93 94 95 96 97 99 101 102 103 105
107 109 110 111 113 114 115 116 118 119
123 125 126 127 129 131 132 133 134 135
137 138 139 140 141 142 143 145 147 149
The 1000th arithmetic number is 1361
(782 composite numbers up to here)
The 10000th arithmetic number is 12953
(8458 composite numbers up to here)
The 100000th arithmetic number is 125587
(88219 composite numbers up to here)
The 1000000th arithmetic number is 1228663
(905043 composite numbers up to here)"