Calmo numbers: Difference between revisions
Added AppleScript.
Drkameleon (talk | contribs) (added Arturo) |
(Added AppleScript.) |
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165 273 385 399 561 595 665 715 957
</pre>
=={{header|AppleScript}}==
<syntaxhighlight lang="applescript">on properDivisors(n)
set output to {}
if (n > 1) then
set sqrt to n ^ 0.5
set limit to sqrt div 1
if (limit = sqrt) then
set end of output to limit
set limit to limit - 1
end if
repeat with i from limit to 2 by -1
if (n mod i is 0) then
set beginning of output to i
set end of output to n div i
end if
end repeat
set beginning of output to 1
end if
return output
end properDivisors
(* on isCalmo(n)
set pds to properDivisors(n)
set pdCount to (count pds)
if ((pdCount - 3) mod 3 ≠ 1) then return false
repeat with i from 2 to (pdCount - 1) by 3
if (properDivisors((pds's item i) + (pds's item (i + 1)) + (pds's item (i + 2))) ≠ {1}) then ¬
return false
end repeat
return true
end isCalmo *)
-- It turns out that every Calmo number < 5,000,000 is odd
-- and has exactly 6 "eligible" (ie. 7 proper) divisors, so:
on isCalmo(n)
if (n mod 2 = 0) then return false
set pds to properDivisors(n)
return (((count pds) = 7) and ¬
(properDivisors((pds's item 2) + (pds's item 3) + (pds's item 4)) = {1}) and ¬
(properDivisors((pds's item 5) + (pds's item 6) + (pds's end)) = {1}))
end isCalmo
on calmoNumbers(limit)
set output to {}
repeat with n from 20 to limit
if (isCalmo(n)) then set end of output to n
end repeat
return output
end calmoNumbers
return calmoNumbers(999)</syntaxhighlight>
{{output}}
<syntaxhighlight lang="applescript">{165, 273, 385, 399, 561, 595, 665, 715, 957}</syntaxhighlight>
=={{header|Arturo}}==
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