Quote Originally Posted by Joe O View Post
It is important to note that the boxes are numbered, and
1) The lower numbered boxes are more likely to contain a diamond than the higher numbered boxes.
2) The higher numbered boxes are harder to open than the lower numbered boxes.
Taking that a bit further, the difficulty of opening the boxes is proportional to the square of the box number, and the overall chance of finding a diamond (taking into account how hard it is to open the box as well as the likelihood of a given box containing a diamond) is inversely proportional approximately to the cube of the box number times the logarithm of the box number. Diamonds in higher numbered boxes are much harder to find. You really don't want to miss the easy ones, ever.

The allure of progressing twice as fast is obvious, but the penalty for missing a prime is tremendous.