> For the complete documentation index, see [llms.txt](https://trizen.gitbook.io/sidef-lang/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://trizen.gitbook.io/sidef-lang/programming_tasks/u/ulam_numbers.md).

# Ulam numbers

```ruby
func ulam(n) {

    static u     = Set(1,2)
    static ulams = [0, 1, 2]

    return ulams[n] if (ulams.end >= n)

    ++n

    for(var i = 3; true; ++i) {
        var count = 0

        ulams.each {|v|
            if (u.has(i - v) && (v != i-v)) {
                break if (count++ > 2)
            }
        }

        if (count == 2) {
            ulams << i
            u << i
            break if (ulams.len == n)
        }
    }

    ulams.tail
}

for k in (1..3) {
    say "The 10^#{k}-th Ulam number is: #{ulam(10**k)}"
}
```

## Output:

```
The 10^1-th Ulam number is: 18
The 10^2-th Ulam number is: 690
The 10^3-th Ulam number is: 12294
```