Prime numbers 3 - Reasoning
Maths Resource Description
The discussion between Zach and Rosie centres on a mathematical reasoning question about prime numbers. Specifically, they are considering the prime numbers between 20 and 50 that exhibit a unique property: when the digits of the prime number are reversed, the resulting number is also prime. Rosie claims that within the given range, there is only one prime number that meets this criterion, which is 37, since its reverse, 73, is also a prime number. Zach, on the other hand, mentions the number 79, which is outside the specified range, but also has this property as its reverse, 97, is prime as well.
Upon examining the list of prime numbers between 20 and 50, which includes 23, 29, 31, 37, 41, 43, and 47, we find that Rosie's assertion is not entirely correct. While she correctly identifies 37 as having the property, she overlooks the number 31, whose reverse, 13, is also a prime number. Therefore, there are two prime numbers between 20 and 50 with the same property, not just one as Rosie suggests. This indicates a need to review the prime numbers and their reversals to ensure accurate reasoning and understanding of the property in question.