The number of steps that are necessary to factorize a large number using all known algorithms increases exponentially with the size of the number. |
However, a preferred constructor can be used to factorize some code. |
So if the visible universe were the extent of physical reality, physical reality would not even remotely contain the resources required to factorize such a large number. |
The joint probability distributions do not factorize into the product of two independent single distributions. |
If computer processors become fast enough to factorize the 128 digit numbers that are used for encipherment, we can start to use 512 digit numbers. |
The factorize function above introduces another couple of features. |