A working research notebook
Closed investigations in number theory and computation. Every entry lists what was proven, what was measured but unexplained, and what was tested and ruled out — the failures are on the record, not edited out.
A number whose own digits, fed back through repeated summation, reproduce it. 57 confirmed hits across digit-lengths 3–17, a proven additive rule, an unexplained smoothness signature, and a rigorously tested digit-shape hypothesis that came back null.
Among gaps between consecutive primes, only 10 of 18 possible remainders mod 18 ever occur. Verified to 300,000,000 with zero counterexamples, and the mechanism is exact — parity, not statistics.
Quantizing a real 1.48B-parameter model to a 31-level codebook: 5.05:1 compression, 0.997 cosine fidelity, a working AVX2 kernel — and an honest accounting of what it loses to and what a real benchmark refuted.
A local chat frontend for Ollama that only trusts an answer once the model has given it consistently, then serves it instantly. Real measured result: 28.5s live call → 0.076s cache hit, ~375×, persistence verified across a restart.
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