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Ingy döt Net 2023-07-01 11:58:00 -04:00
parent 7387c8f97b
commit cb5bb5e222
199093 changed files with 3378972 additions and 0 deletions

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import "/math" for Int, Nums
import "/seq" for Lst
import "/fmt" for Fmt
var sieve = Fn.new { |n|
n = n + 1
var s = List.filled(n+1, false)
for (i in 0..n) {
var sum = Nums.sum(Int.properDivisors(i))
if (sum <= n) s[sum] = true
}
return s
}
var limit = 1e5
var c = Int.primeSieve(limit, false)
var s = sieve.call(14 * limit)
var untouchable = [2, 5]
var n = 6
while (n <= limit) {
if (!s[n] && c[n-1] && c[n-3]) untouchable.add(n)
n = n + 2
}
System.print("List of untouchable numbers <= 2,000:")
for (chunk in Lst.chunks(untouchable.where { |n| n <= 2000 }.toList, 10)) {
Fmt.print("$,6d", chunk)
}
System.print()
Fmt.print("$,6d untouchable numbers were found <= 2,000", untouchable.count { |n| n <= 2000 })
var p = 10
var count = 0
for (n in untouchable) {
count = count + 1
if (n > p) {
Fmt.print("$,6d untouchable numbers were found <= $,7d", count-1, p)
p = p * 10
if (p == limit) break
}
}
Fmt.print("$,6d untouchable numbers were found <= $,d", untouchable.count, limit)

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import "/math" for Int, Nums
import "/seq" for Lst
import "/fmt" for Fmt
var limit = 1e6
var m = 63
var c = Int.primeSieve(limit, false)
var n = m * limit + 1
var sumDivs = List.filled(n, 0)
for (i in 1...n) {
var j = i
while (j < n) {
sumDivs[j] = sumDivs[j] + i
j = j + i
}
}
var s = List.filled(n, false)
for (i in 1...n) {
var sum = sumDivs[i] - i // proper divs sum
if (sum <= n) s[sum] = true
}
var untouchable = [2, 5]
n = 6
while (n <= limit) {
if (!s[n] && c[n-1] && c[n-3]) untouchable.add(n)
n = n + 2
}
System.print("List of untouchable numbers <= 2,000:")
for (chunk in Lst.chunks(untouchable.where { |n| n <= 2000 }.toList, 10)) {
Fmt.print("$,6d", chunk)
}
System.print()
Fmt.print("$,7d untouchable numbers were found <= 2,000", untouchable.count { |n| n <= 2000 })
var p = 10
var count = 0
for (n in untouchable) {
count = count + 1
if (n > p) {
Fmt.print("$,7d untouchable numbers were found <= $,9d", count-1, p)
p = p * 10
if (p == limit) break
}
}
Fmt.print("$,7d untouchable numbers were found <= $,d", untouchable.count, limit)