Optional arithmetic applications

These source projects reuse selected TNFR utilities for supplied arithmetic problems. They are separate from the core engine under src/tnfr and from the active generative research queue in the execution plan. Their formulas, heuristic scores and compatibility names do not establish physical emergence or a new primality/factorization complexity result.

Project	Retained purpose	Boundary
Primality utility	Standalone arithmetic-pressure predicate, optional engine adapters and CLI	Consumes divisor/factor statistics; does not generate primes through nodal dynamics
Factorization lab	Spectral candidate heuristics, arithmetic checks, partition/replay and diagnostic workflows	Candidates and configured acceptance need independent divisibility checks; supplied graphs are not an emergent substrate

The projects moved here from the root primality-test/ and factorization-lab/ directories. Existing Python package names and the optional tnfr.primality, tnfr.factorization and SDK entry points remain available. Checkout adapters discover this directory lazily; an installed optional package takes precedence. The main engine wheel and source distribution exclude these projects.

These are maintained compatibility applications, not additional active research campaigns. Select their tests explicitly using TESTING.md. Their package guides own installation and usage; the number-theory document owns mathematical scope.

Historical JSON captures and the lab's notebooks/archive/ retain their original bytes, including recorded old paths. They are evidence of the recorded run, not current invocation instructions. Relocation does not regenerate them or turn their historical verdicts into current-source validation.