Kutaura chikumbiro. Kernel inofunga kana ichiratidza kuti chikumbiro chacho chakakodzera.
A panel of models attacks your problem with the literature, SageMath, PARI/GP and a SMT solver, then formalizes the result in Lean 4 against Mathlib. Lean's kernel either accepts the proof or it does not, and no amount of confident prose changes that. When it fails you get the exact goal that remains, which is usually where the informal argument was hand-waving.
A checker that cannot be persuaded
A failed proof is a finding
Hapana chinoratidzwa kaviri