{"id":"power-of-three-prime-dependency","text":"The divisibility trick (`3^19 % n == 0` implies n is a power of 3) is valid only because 3 is prime; applying the same pattern to a composite base would produce false positives since composite powers have non-power divisors.","truth_value":"IN","source":"entries/2026/06/06/power-of-three-solution.md","source_url":"","source_hash":"","justifications":[],"dependents":[],"metadata":{},"created_at":"","updated_at":"","reviewed_at":"","verified_at":"","retracted_at":"","explanation":{"steps":[{"node":"power-of-three-prime-dependency","truth_value":"IN","reason":"premise"}]}}