Re: Zero digits in powers

*** T. Winter makes a valid point. When you use a probabilistic model,
you're really guessing when you have accurately identified a sample
space. In the fifth-power summation example, the factorization in the
formula happesn to give enough information for the proabilistic model to
identify the right proposition. Probabilistc models can give an idea of
what might be most fruitful to try to prove -- but if in the process of
solving the problem you come across new information, you need to
reevaulate your probabilistic expectations in light thereof.

Incidentally, 34N^2-1 is always congruent with 5 or 7 modulo 8. There
you have it.

--OL

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