The Collatz conjecture
The Collatz conjecture, named after Lothar Collatz who introduced the idea is a perfect example of a mathematical problem that cannot be solved by mathematics and the tools available within the domain and scope of mathematics of today.
It goes a little like this:
it's a nice little conjecture to turn into a program, so I decided to write it in YASS to try and demonstrate this based on the above syntax:
function f ($n) if($n % 2 == 0) $n = $n / 2 else $n = ($n * 3) + 1 end if return $n end function $n = input("Please insert a start number") $iterations = 0 print($n) while($n != 0 and $iterations < 5) $n = f($n) print($n) if($n == 1) $iterations++ end if end while