The 3x+1 Problem [video]

Terence Tao has actually gotten a little traction on this in the last few years.

Whole night I was thinking and dreaming about this darned thing, even though I knew it was pretty pointless to do so, considering I'm not even a mathematician and have always found maths hard.

Still a brilliant video and now I get why people could spend 20+ years of their precious lives trying to solve these things.

    $count = 1
    do {
        $count++
        $i = $count
        [string]$array = "$i"
        $range = $i - 1
            do {
                if ($i % 2 -eq 0) {$i = $i / 2} else {$i = (3 \* $i) + 1} 
                $array = "$array" + ",$i"
                if ($i - $count -gt $range) {$range = $i - $count}
                if ($i -eq 2) {$i = "Break"}
                } while ($i -ne "Break")
            $array = "$array" + ",1"
            $hits = (($array -split ",") | Measure-Object).count
            Set-Content -Path "${count}_${hits}Hits_${range}MaxRange.txt" -Value "$array" -NoNewline -Force
        } while ($count -lt 1000)

Edit: Found it... $count = [bigint][math]::pow(10,44) Awesome! I love code!

Why does this need to be solved?

Would that even change anything?