As to what was revealed to be the real question:
Hence, the poll question is really, what is the first representational digit in base 1
I think "1" is quite intuitive. prime factorization using base 1 reveals some of the benefits to working in base 1:
They don't have the arbitrary range limitations of Perl's regular number representations while converting between the two is nearly trivial. Plus finding prime base-1 numbers is particularly compact code in Perl. And when the primality test fails you are also handed some factors! So base-1 numbers are perfect for finding prime factorizations! They aren't very space efficient, unfortunately (hey, no one's perfect).
As well as providing handy Perl code for working with them.
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