The origin
The Tesfa Grid began as pure number theory of a geometric construction of the integers arranged by their residues, studied for what it revealed about the hidden structure of primes. Three research notes have been published so far at tesfagrid.io, including a constraint on consecutive prime gaps verified across 348,511 cases with zero violations.
In the course of that research, it became clear that the same structural results could be applied to computational prime generation, the process at the heart of every RSA key, every TLS handshake, every digital signature in production today. Ethoryx is that application: the mathematics of the Tesfa Grid, engineered into a production cryptographic API.
Why this matters
The cryptographic industry is in the middle of a quiet migration. NIST has finalised post-quantum standards of Kyber (ML-KEM) and Dilithium (ML-DSA) and the push toward larger RSA keys has begun. DigiCert, Microsoft, and others are moving to 3072-bit and 4096-bit RSA. Hardware security modules need to regenerate keys more frequently. Fully homomorphic encryption requires chains of large NTT-compatible primes. zk-SNARK circuits need field primes of specific form.
At every scale, the bottleneck is the same: prime generation is expensive, and the cost scales as O(bits³). A 4096-bit primality test is roughly 512 times more expensive than a 512-bit test. Reducing the number of tests by 60-80% at these scales produces measurable compute savings across any application that generates fresh primes.
The math belongs to the world. The engineering belongs to the company.
How we operate
Open research, private engineering
The mathematical foundations are public. The production C/GMP implementation, parameter choices, and layer integrations are held internally and available to commercial licensees under evaluation agreement.
Outcome claims, measured
Every performance figure on this site is independently measurable. Our live API at api.ethoryx.io can be benchmarked by any customer in an afternoon.
Distribution-preserving
Every prime in the target range remains reachable with uniform probability. No prime excluded. No key weakened. Security is identical to standard generation.
Africa-built, globally useful
Ethoryx is built in Addis Ababa. We believe cryptographic infrastructure is neither a regional capability nor a regional market. The team and the customers are both global.
Team
Tesfaye Dereje
Independent researcher in number theory and cryptography. Author of the Tesfa Grid research programme (three volumes published). Designed the Ethoryx Sieve and the C/GMP production engine. Correspondence: research@ethoryx.io
What we build
Ethoryx ships four products today, all running on the same C/GMP Core engine:
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Ethoryx Prime · RSA : Standard RSA prime generation, 66-79% fewer primality testsLive
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Ethoryx NTT · Field Prime : NTT-compatible primes for FHE, zk-SNARKs, PQCLive
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Ethoryx FHE · Chain : Full coefficient modulus chains for SEAL & OpenFHELive
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Ethoryx HSM · Firmware : Embedded firmware for Thales, Utimaco, nCipher2026
How to engage
If you are a developer, start with the free tier and try the API in five minutes. If you are an enterprise buyer evaluating cryptographic infrastructure, request the technical dossier, we will walk you through a benchmark on your own workload under NDA. If you are an HSM vendor, licensing starts at $50,000 for firmware integration. If you are a researcher, the Tesfa Grid research notes are publicly available and correspondence is welcomed at research@ethoryx.io.