Big integer asymptotic feasibility worksheet

Family 109: Integer multiplication below $n\log n$. First review, 8 October 2026.

Problem and potential new use

A commercialization team can quantify the extremely small log-exponent saving and avoid treating it as an immediate arithmetic optimization.

Applicability and commercial boundary

The saving parameter is 2^-182 in a finite-tape bit model. No practical crossover or library benchmark is established.

Initial business decision

Defer performance product. Buyer demand and profitability remain hypotheses. This first pass does not establish a validated commercial market.

Next verification action

Read the machine construction and document precisely which constants would be needed to estimate crossover.

Evidence scope

Catalog statement reviewed; inspect linked opportunity dossier for any deeper source review. This record alone does not establish full manuscript or proof verification.

Source revision fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb. See source metadata for the exact manuscripts and available scope notes.