Identify the statement as true or false.

The set of prime numbers is an example of an infinite set.

**True.**

The set of prime numbers is indeed an example of an infinite set. Prime numbers are numbers greater than 1 that have no positive divisors other than 1 and themselves. There is no largest prime number, meaning there is an infinite number of primes. This was famously proven by the ancient Greek mathematician Euclid around 300 BCE.

Would you like more information on this topic or have any questions? Here are some related questions:

1. What is Euclid's proof for the infinitude of prime numbers?
2. Can you list the first 10 prime numbers?
3. What is the difference between finite and infinite sets?
4. Are there infinite sets of numbers other than prime numbers?
5. How does the concept of infinite sets relate to real numbers?

**Tip:** Understanding infinite sets can help deepen your grasp of fundamental mathematical concepts and their applications.

Explore whether the set of prime numbers is infinite with a detailed explanation. Prime numbers, defined as numbers greater than 1 with no positive divisors other than 1 and themselves, demonstrate the concept of infinite sets. Learn about Euclid's ancient proof and its relevance in mathematics. Suitable for advanced high school students and beyond.

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