A novel base-prime set was presented generalizing bases of floating point numbers. An asymptotic analysis is presented to reasonably suggest that it might have cardinality strictly between integers and real numbers. This concrete counter-example reasonably suggests that the Continuum Hypothesis (CH) might be false.

Presenting a novel set generalizing the usual base representation of floating point numbers. This “base-prime” set was identified in patented research on nonuniform data sampling and self-stabilizing computer arithmetic.