Attractive numbers: Difference between revisions

Added AutoHotkey
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(Added AutoHotkey)
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<pre>4 6 8 9 10 12 14 15 18 20 21 22 25 26 27 28 30 32 33 34 35 38 39 42 44 45 46 48 49 50 51 52 55 57 58 62 63 65 66 68 69 70 72 74 75 76 77 78 80 82 85 86 87 91 92 93 94 95 98 99 102 105 106 108 110 111 112 114 115 116 117 118 119 120 </pre>
 
=={{header|AutoHotkey}}==
<lang AutoHotkey>AttractiveNumbers(n){
c := prime_numbers(n).count()
if c = 1
return
return isPrime(c)
}
isPrime(n){
return (prime_numbers(n).count() = 1)
}
prime_numbers(n) {
if (n <= 3)
return [n]
ans := []
done := false
while !done
{
if !Mod(n,2){
ans.push(2)
n /= 2
continue
}
if !Mod(n,3) {
ans.push(3)
n /= 3
continue
}
if (n = 1)
return ans
sr := sqrt(n)
done := true
; try to divide the checked number by all numbers till its square root.
i := 6
while (i <= sr+6){
if !Mod(n, i-1) { ; is n divisible by i-1?
ans.push(i-1)
n /= i-1
done := false
break
}
if !Mod(n, i+1) { ; is n divisible by i+1?
ans.push(i+1)
n /= i+1
done := false
break
}
i += 6
}
}
ans.push(n)
return ans
}</lang>
Examples:<lang AutoHotkey>c:= 0
loop
{
if AttractiveNumbers(A_Index)
c++, result .= SubStr(" " A_Index, -2) . (Mod(c, 20) ? " " : "`n")
if A_Index = 120
break
}
MsgBox, 262144, ,% result
return</lang>
{{out}}
<pre> 4 6 8 9 10 12 14 15 18 20 21 22 25 26 27 28 30 32 33 34
35 38 39 42 44 45 46 48 49 50 51 52 55 57 58 62 63 65 66 68
69 70 72 74 75 76 77 78 80 82 85 86 87 91 92 93 94 95 98 99
102 105 106 108 110 111 112 114 115 116 117 118 119 120 </pre>
 
=={{header|AWK}}==
299

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