The Sphinx's identity crisis is hitting hard! Instead of the traditional "what walks on four legs, then two, then three" riddle, our feline pharaoh is flexing with a prime factorization problem that would make even mathematicians sweat. When the passerby innocently asks if the Sphinx is trying to crack encryption (since prime factorization is the backbone of many cryptographic systems), the Sphinx gets all huffy. Classic case of mathematical projection—asking impossible questions but can't handle being questioned back. Factoring large numbers is practically impossible without quantum computing, which makes this ancient monument surprisingly up-to-date on computational complexity theory!