OpenNumber Theory·1985
abc Conjecture
Controls how often a + b = c can have c much larger than the radical of abc.
The abc conjecture is a compact statement with consequences across Diophantine equations. Claimed proofs have generated major controversy, so the consensus status remains delicate.
Summary
The abc conjecture is a compact statement with consequences across Diophantine equations. Claimed proofs have generated major controversy, so the consensus status remains delicate.