twin-primes

The Turkish Sieve Methodology: Deterministic Computation of Twin and Cousin Prime Pairs Using an N/6 Bit Data Structure

This library help to find prime numbers between given range

This repo is a small study about prime numbers and gaps. It defined the Sieve Sequence math object from scratch, used stainless to verify the key properties and extracted some more properties related to primality, 2-gaps structure and twin primes.

A repository exploring two major conjectures in number theory, the Goldbach conjecture and the twin-prime conjecture, through minimal Goldbach partitions and two new identities involving $\pi(n)$ and $\pi_2(n)$

Data sets

Bash wrappers for PARI/GP exploring classical number theory — Riemann zeta zeros, Gilbreath's conjecture, prime gaps, twin primes, and more.

Data sets

Several large scale mathematical problems were solved using the computer's excellent calculating ability and python.

Official repository for the Modular Projection Sieve: a sublinear Θ(√N/log N) memory algorithm based on Kmin± prime-coprime entanglement over (ℤ/6ℤ)ˣ. Features discrete spectral operator analysis (GOE quantum chaos), Lean 4 formal proofs, and reproducible Python/Numba execution up to N=10⁹.

Data sets

This Java command-line application analyzes a range of integers to identify specific number theory properties and applies a custom bitwise encryption algorithm. The program is a practical exercise in algorithmic thinking, number theory, and low-level bit manipulation.

Explorador interactivo de los primos gemelos: espiral de Ulam, conteo π₂(x) frente a Hardy–Littlewood y constante de Brun · dual: GitHub Pages o FastAPI

Minimal Goldbach pairs in prime and twin-prime counting

A machine-verified Lean 4 reading of the great conjectures through one prohibition — the impossibility of a perpetual engine (Fermat's infinite descent). Twin primes reduce to a single open node; no Millennium problem is solved.

"Analysis I" course coding project

Exploring Prime Distribution via Dynamical Methods