Quote:
Originally Posted by firejuggler
]If you complete a T35 on a certain exponent and found no factor, then the chance of a sub 35 digit factor is all but nill.

This isn't quite true when a T35 is finished, there is a 1/e chance of missing a 35 digit factor (if one exists).
It's more accurate to say that after a T35 is done, chances of a 30 or smaller digit factor is nil (1/e^6 or worse). A 33 digit factor has about a 10% chance (1/e^2, roughly) to be missed by a T35.