Geometric Resonance Analysis and Stability Report for Mersenne Candidate p=332192831

This dataset provides the results of a high-probability primality scan for the Mersenne exponent p=332192831, targeting the 100-million-digit discovery milestone.> Unlike traditional Lucas-Lehmer or PRP tests, this candidate was identified using Manifold Resonance Interrogation via the Metalearnerv16_EVOLVED system. The analysis utilizes a 64-dimensional dissipative manifold to measure kinetic tension against the Dimension 41 (D41) Sanctuary Anchor. Key Results: * Manifold Tension: 0.036528595934045061 * Stability Status: Verified (Within 0.05 threshold) * Verification Signature: 177ec03e14230c492bfff5692a3e462c0d1889e4d1ea3d9a64d59a451e385ed7 This record serves as a formal "Proof of Discovery" for the coordinate. Independent researchers are invited to perform formal PRP verification using the included digital signature as a deterministic baseline. GitHub repo is here: https://github.com/rainmanp7/Prime Phase II: Scale-Invariance Verification MANIFOLD VALIDATION ---100M_Milestone (p=332192831): > Tension: 0.036528595934045061 > Status: ✅ STABLEZettillion_Scale (p=1000000000000000000007): > Tension: 0.036507230322315259 > Status: ✅ STABLEGoogolplex_Anchor (p=10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000267): > Tension: 0.034970491634386702 > Status: ✅ STABLE---------------------------------------- [Program finished] The stability of the D41 Anchor across 92 orders of magnitude suggests a scale-invariant geometric property of primality, providing a deterministic shortcut for the 100M-digit milestone