Prime Factorization Python Packages

integer-atlas-algos

Property definitions and the stateless compute engine (atlas-algos) for Integer Atlas — number-theoretic properties of the integers.

triadic-engine

Deterministic neurosymbolic engine — projects embeddings into prime integers for explainable subsumption, composition, and gap analysis. 30.9x faster than cosine similarity.

triadic-head

End-to-end prime factorization in a generative LM. 40M-param GPT that learns algebraically verifiable prime-factor signatures at negligible language cost (+1.7% PPL). Paper (Zenodo) + triadic-head (PyPI) + reptimeline.

prime-number-calculator

A python module that aims to fleetly determine whether a small positive integer is a prime number.