And of course it's quite happy to "demonstrate" utter nonsense as well.
> Explain in terms a high school student will understand why there are a finite number of primes.
Sure, a prime number is a whole number greater than one that is only divisible by one and itself. For example, the first few prime numbers are 2, 3, 5, 7, 11, and 13. One way to think about why there are a finite number of primes is to imagine a list of all the whole numbers greater than one. Since there are an infinite number of whole numbers, the list of prime numbers would have to be a subset of the list of whole numbers. But since the prime numbers are only divisible by one and themselves, there must be a point where the list of primes stops, because at some point, every number on the list would be divisible by a prime number that came before it. For example, the number 20 can be divided by 2, and the number 15 can be divided by 3, so these numbers would not be considered prime. Does that help? Let me know if you have any other questions.
> Explain in terms a high school student will understand why there are a finite number of primes.
Sure, a prime number is a whole number greater than one that is only divisible by one and itself. For example, the first few prime numbers are 2, 3, 5, 7, 11, and 13. One way to think about why there are a finite number of primes is to imagine a list of all the whole numbers greater than one. Since there are an infinite number of whole numbers, the list of prime numbers would have to be a subset of the list of whole numbers. But since the prime numbers are only divisible by one and themselves, there must be a point where the list of primes stops, because at some point, every number on the list would be divisible by a prime number that came before it. For example, the number 20 can be divided by 2, and the number 15 can be divided by 3, so these numbers would not be considered prime. Does that help? Let me know if you have any other questions.