Can anyone give me some suggestions as to how to go about identifying several moduli for any given positive integer that will produce the smallest residues?
The situation is this:
For any given positive integer of 100 decimal digits
I would like to find 5 moduli, the product of which can represent the 100 digit integer. (Does this mean that each moduli should be about 20 digits long?)
I would like the resultant residues for to be 5 digits or less.