◈ 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