Self-prefix hits of c^m admit exact discrepancy identities, Lambert two-gap candidates, resonance rigidity, and certified O(N^{1-1/ν} polylog N) search; infinitude of 2^m starting with m remains open.
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Self-Referential Leading Digits of Exponential Sequences: Arithmetic Structure and Certified Search
Self-prefix hits of c^m admit exact discrepancy identities, Lambert two-gap candidates, resonance rigidity, and certified O(N^{1-1/ν} polylog N) search; infinitude of 2^m starting with m remains open.