A **provable prime** is a type of prime number for which its primality can be verified through a mathematical proof or algorithm. This term is often used in the context of cryptography and computational number theory, where the efficiency and certainty of primality testing are crucial. In practice, proving a number is prime can be done through various algorithms, such as: 1. **AKS primality test**: A polynomial-time algorithm that can definitively determine if a number is prime.
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