L. Sofiane Aouadene
Independent researcher in number theory and prime number formulas
Focused on Number Theory, The Generalized Index Generator (GIG), and the fundamental structures of mathematics.
Areas of Interest
Exploring the depths of mathematical theory and its applications.
Number Theory
Prime number distribution, modular arithmetic, and the Generalized Index Generator.
Algorithm Design
Deterministic algorithms for primality testing and composite generation.
Mathematical Proofs
Rigorous derivation of new mathematical frameworks and identities.
Latest Research
The Generalized Index Generator (GIG)
My latest paper introduces a novel, compact, single-variable quadratic equation that deterministically generates every element of the set of primes and composites coprime to 6. This unifies established arithmetic progressions into a single formula.
- Unifies 6k ± 1 into a single formula
- Deterministic composite generation
- New approach to prime counting
# GIG_Equation.tex
function GIG(n) {
return sqrt(12 * n * (3 * n - 1) + 1);
}
// Deterministic generation of Seq
The Grasshopper
Curated by L. Sofiane Aouadene
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