Ok. I solved part of the question I presented above: I now use a
scripting dictionary to store the calculation in memory. At the end of
the sub-routine, the calculations (in this case all relative primes to a
given modulus) are displayed in Column B. Much Faster! This code is
good. Four-digit mods take a few seconds, six-digit mods take a long
time....my next goal is to make a VBA version of the extended euclidian
algorithm which should be much quicker.

I still need help on the second part of my question: Is it possible to
sort the calculations from lowest to highest WHILE THEY ARE ITEMS IN THE
DICTIONARY? (i.e. while they are in memory) so I can list them in Column
B.