1. The problem is to list prime numbers, which are numbers greater than 1 that have no positive divisors other than 1 and themselves. 2. The first few prime numbers are: $$2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47$$ 3. For any number $n > 1$, if it is not divisible by any prime number less than or equal to $\sqrt{n}$, then it is prime. 4. This list can be extended as needed using the definition above.