probable-primes

Here are 3 public repositories matching this topic...

Ruqing1963 / Polynomial-Prime-Quadruplets

Bateman–Horn census of prime constellations of Q(n)=n^q−(n−1)^q: 2,393 Q47 quadruplets below 8×10^11 (BPSW-verified), seven-exponent recount, ECPP-certified 1000-digit quadruplets, and a 200,000-digit Q47 PRP. Code, data, certificates, paper v2.

computational-mathematics prime-numbers gmp primality-testing ecppt cyclotomic-polynomials number-theory-problems sieve-methods bateman-horn-conjecture probable-primes prime-constellations singular-series large-primes prime-k-tuples cuban-primes pfgw

Updated Oct 21, 2026
Python

Ruqing1963 / Q47-Quintuplet-Sextuplet-Boundary

Star

Prime quintuplets and the sextuplet boundary for Q(n)=n^47-(n-1)^47 (Titan Project, Part III). Exact Bateman-Horn singular series via Dirichlet L-functions mod 47; parameter-free prediction of 7 quintuplets / 0 sextuplets up to 2e11; first sextuplet expected near N*~1e13. Paper, data, scripts. v2 DOI 10.5281/zenodo.23178170

python latex reproducible-research prime-numbers number-theory zenodo computational-number-theory analytic-number-theory cyclotomic-polynomials sieve-methods bateman-horn-conjecture probable-primes dirichlet-l-functions prime-constellations prime-quintuplets singular-series

Updated Oct 6, 2026
TeX

max-russo-com / max-prime-challenge

Star

Source-available Rust GUI and CLI for MAX Prime Challenge: structured distributed probable-prime search with reproducible local verification and result exports.

rust cli gui reproducible-research distributed-computing mathematics prime-numbers number-theory primality-testing miller-rabin computational-number-theory primality source-available local-verification probable-primes

Updated Oct 3, 2026
Rust

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