covering-systems

Here are 4 public repositories matching this topic...

OMPSHUNYAYA / Shunyaya-Residual-Capacity-Theory

A class-wide exact-two obstruction for modulus 9 in finite odd covering systems, established through a computer-assisted mathematical proof with exact certificates and reproducible verification.

Updated Sep 12, 2026
Python

Sanexxxx777 / erdos-computational-bounds

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SAT + verified LRAT certificate for a covering-system lower bound (Erdős #273), plus a segmented sieve extending verified ranges for #385 and #647 to 1.0011e12

mathematics computational-mathematics reproducibility formal-verification number-theory sat erdos cadical lrat covering-systems

Updated Jul 22, 2026
Python

Aperturesurvivor / irdcs-divisible-by-4

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Explicit verified IRDCS on [1,344] with every modulus divisible by 4

computational-mathematics combinatorics number-theory covering-systems

Updated Aug 9, 2026
Python

ibrahimmian36 / centurion

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Kernel-checked Lean 4 exclusions for the Erdős–Selfridge odd covering problem (Erdős #7): any covering of ℤ by distinct odd moduli > 1 has lcm > 10000.

theorem-proving lean formal-verification number-theory mathlib lean4 formalized-mathematics erdos-problems covering-systems

Updated Sep 28, 2026
Lean

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