◈ Conjecture Engine

Enter any Diophantine equation. The engine scans integer solutions, detects patterns, and surfaces plausible mathematical conjectures — modular obstructions, invariants, asymptotics, and structure.

  • Modular obstructions — which residue classes are unsolvable?
  • GCD invariants — are all solutions primitive?
  • Asymptotic density — how does the solution count grow?
  • Inter-variable relationships — parity, sum divisibility
Examples