By name: mersenne-neighborhood-audit description: Auditing the numerical "neighborhood" of certified Mersenne primes to detect spectral echoes or missed loci.
Mersenne Neighborhood Audit Skill
This skill focuses on the high-resolution investigation of the exponent space immediately surrounding known Mersenne primes ($p_{prime} \pm \Delta p$).
🛠️ Core Capabilities
- Neighborhood Mapping: Systematic scanning of exponents in a radius around certified primes.
- Spectral Echo Detection: Identifying composite exponents that exhibit "prime-like" spectral rigidity ($H \to 0$) during the first $10^5$ iterations of the LL-test.
- Ghost Locus Identification: Filtering candidates that GIMPS might have skipped due to thresholding artifacts.
📜 Laws & Contracts
- Baseline Law: Every scan MUST be anchored to a certified prime from the
ua_ledger.sqlite. - Detection Contract: A "Ghost Locus" is defined as any exponent $p$ where the PRP test is negative but the LL-test residue exhibits local stability $> P95$ of the baseline.
- Reporting: Results are saved in
results/mersenne/neighborhoods/.
🚀 Key Scripts
research/mersenne/NEIGHBORHOOD_SCANNER.py: The worker for local radius scans.jules_orders/JULES_ORDER_GHOST_HUNT.json: Delegation template for large $p$ neighborhoods.
Skill injected via Antigravity Oracle protocol.