Prime numbers - Reasoning

The statement in question is whether square numbers can be created by adding two prime numbers together. The answer to this is 'Sometimes', which implies that while it is possible for two prime numbers to sum up to a square number, it is not always the case. For example, the prime numbers 5 and 11 add up to 16, which is indeed a square number (4 squared). However, if we consider the prime numbers 5 and 7, their sum is 12, which is not a square number. Therefore, the creation of square numbers by adding two prime numbers is not a guarantee but rather a possibility that occurs under certain conditions.

Rosie's reasoning reflects an understanding of the nature of prime numbers and square numbers. Prime numbers are numbers greater than 1 that have no positive divisors other than 1 and themselves. Square numbers, on the other hand, are the product of an integer multiplied by itself. While some pairs of prime numbers can sum to a square number, it is not a universal truth for all prime pairs. The relationship between prime numbers and square numbers is not consistent enough to be classified as 'Never' or 'Always True', hence the correct classification is 'Sometimes True'. Rosie's reasoning would involve exploring various combinations of prime numbers to see which pairs, if any, sum up to a square number.