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Prime-gap distribution reference
Family 026: Positive lower density of large prime gaps. First application triage, 9 October 2026 Australia/Brisbane.
Problem and potential new use
Number-theory researchers can compare large normalized prime gaps to the stated positive lower density.
Applicability and commercial boundary
The proportion depends on C and sufficient size; no explicit finite guarantee or faster prime generator is supplied.
Initial business decision
Research infrastructure or conditional engineering until a computable implementation, effective bounds and a recurring buyer need are demonstrated. No commercial novelty or profitability is established.
Next verification action
Inspect effective constants and finite sample bias.
Evidence scope
The catalog statement was individually reviewed. Manuscript proof and selected formal scope comparison remain queued. No independent Lean verification was run. Source revision fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb. See source metadata.