Weird numbers: Difference between revisions

Line 1,380:
70 836 4030 5830 7192 7912 9272 10430 10570 10792 10990 11410 11690 12110 12530 12670 13370 13510 13790 13930 14770 15610 15890 16030 16310
</pre>
 
=={{header|Lua}}==
{{trans|C#}}
<lang lua>function make(n, d)
local a = {}
for i=1,n do
table.insert(a, d)
end
return a
end
 
function reverse(t)
local n = #t
local i = 1
while i < n do
t[i],t[n] = t[n],t[i]
i = i + 1
n = n - 1
end
end
 
function tail(list)
return { select(2, unpack(list)) }
end
 
function divisors(n)
local divs = {}
table.insert(divs, 1)
 
local divs2 = {}
 
local i = 2
while i * i <= n do
if n % i == 0 then
local j = n / i
table.insert(divs, i)
if i ~= j then
table.insert(divs2, j)
end
end
i = i + 1
end
 
reverse(divs)
for i,v in pairs(divs) do
table.insert(divs2, v)
end
return divs2
end
 
function abundant(n, divs)
local sum = 0
for i,v in pairs(divs) do
sum = sum + v
end
return sum > n
end
 
function semiPerfect(n, divs)
if #divs > 0 then
local h = divs[1]
local t = tail(divs)
if n < h then
return semiPerfect(n, t)
else
return n == h
or semiPerfect(n - h, t)
or semiPerfect(n, t)
end
else
return false
end
end
 
function sieve(limit)
-- false denotes abundant and not semi-perfect.
-- Only interested in even numbers >= 2
local w = make(limit, false)
local i = 2
while i < limit do
if not w[i] then
local divs = divisors(i)
if not abundant(i, divs) then
w[i] = true
elseif semiPerfect(i, divs) then
local j = i
while j < limit do
w[j] = true
j = j + i
end
end
end
i = i + 1
end
return w
end
 
function main()
local w = sieve(17000)
local count = 0
local max = 25
print("The first 25 weird numbers:")
local n = 2
while count < max do
if not w[n] then
io.write(n, ' ')
count = count + 1
end
n = n + 2
end
print()
end
 
main()</lang>
{{out}}
<pre>The first 25 weird numbers:
70 836 4030 5830 7192 7912 9272 10430 10570 10792 10990 11410 11690 12110 12530 12670 13370 13510 13790 13930 14770 15610 15890 16030 16310</pre>
 
=={{header|Perl}}==
1,452

edits