It is a direct corollary that if a number is not prime, it will have a prime factor less than or equal to the square root of that number.
]]>But hey, why would the first 37 primes suffice? (I've never really studied primes)
]]>Edited to add: 1453 is not a randomly picked number. Why?
]]>The game does get harder as you progress though. The blocks fall more frequently as the score goes up, but the score also pushes up the upper bound of the range. The blocks can take any value between 2 and the median of 100, 500 and [score+50].
I agree that having to move around rather than purely entering primes does make the game a bit clumsy, but not that much. And the only alternative I can think of would be that pressing a key will auto-target an appropriate block, which would mean you could win by just pressing them quickly without thought.
]]>...OK, bad plot. But fun game, and surprisingly addictive.
Link here.
My best score is 3x101.
Edit: 2x2x3x37