Theorem-guided cryptographic prime generation. Ethoryx Research - Addis Ababa, Ethiopia. Research division behind the Tesfa Grid framework.
The Tesfa Grid is a 6×C matrix that reveals proved theorems about prime number structure, gap hierarchy, and cryptographic generation. Ethoryx is one application of a much broader mathematical framework.
Three completed volumes, all results independent of Ethoryx. The framework is an original contribution to analytic number theory.
Establishes the geometric framework and proves a family of structural theorems concerning the residue distribution and gap behaviour of primes. Core results verified empirically across 348,511 consecutive prime gaps. Research note available at tesfagrid.io.
Studies higher-order differences of consecutive prime gaps and reports an empirical oscillation pattern with substantial statistical significance across large samples. Research note available at tesfagrid.io.
Describes a prime-generation algorithm derived from the structural results of Volume 1. Parameter choices and reference implementation are held internally and made available to commercial licensees. Research note at tesfagrid.io.
The applied volume underlying the Ethoryx product. Establishes efficiency bounds for candidate pre-filtering derived from the geometric framework, and provides benchmark results at 512, 1024, and 2048-bit RSA key sizes across independent measurement runs. Security argument rests on classical results for primes in arithmetic progressions. Detailed implementation held internally.
The Tesfa Grid framework is not specific to cryptography. The same proved constraints apply wherever prime number structure underlies a domain.
Investigating how mathematical hard constraints derived from the framework can replace or augment training data in predictive models. Applicable to any domain where proved structural rules exist genomics, finance, physical systems.
Formally proved efficient prime generation for RSA and ECC. HSM integration, FIPS 186-5 compliance analysis, C implementation for OpenSSL integration. Hardware licensing track.
Investigating potential connections between the framework's structural results and classical questions in the spectral theory of primes, including links to the Riemann zeta function.
Applying the same proved structure-discovery framework to financial time series. Market price movements share the property of appearing random while having demonstrable underlying structure.
Independent research programme, Addis Ababa, Ethiopia. Mathematical research + commercial application.
AAU graduate 2019. Creator of the Tesfa Grid framework. All nine theorems in Volumes 1-3. Ethoryx product lead. arXiv: tesfadereth.
Theorem-guided cryptographic prime generation. Ethoryx Research - Addis Ababa, Ethiopia. Research division behind the Tesfa Grid framework.