research

One documented study

My current research page centers on one computational study with a complete notebook, source code, data, checks, plots, and published benchmarks.

independent computational replication

Fibonacci residues modulo prime powers

I counted which residues appear for Fibonacci, Lucas, and Pell sequences modulo prime powers. The Fibonacci computations match selected published benchmark values. The Lucas and Pell observations are finite experiments, not proofs or claims of new discoveries.

read the full study

what a reader can inspect

  • method and code

    Pair-state orbit enumeration, recurrence definitions, and tests.

  • data and checks

    147 finite runs, validation output, and 78 direct cross-checks.

  • limits and sources

    Published benchmarks, finite-test limits, and no novelty claim.