Question

How many prime numbers are there between 60 and \(70 ?\) List them.

Short answer

Answer: There are 2 prime numbers between 60 and 70, which are 61 and 67.

Step-by-step solution

Determine the numbers to check

Since we are looking for prime numbers between 60 and 70, we will only consider the numbers: 61, 62, 63, 64, 65, 66, 67, 68, and 69.

Determine if each number is prime

Check each number to see if it's a prime number: - 61: 61 is divisible by only 1 and 61, making it a prime number. - 62: 62 is divisible by 2, so it's not a prime number. - 63: 63 is divisible by 3, so it's not a prime number. - 64: 64 is divisible by 2, so it's not a prime number. - 65: 65 is divisible by 5, so it's not a prime number. - 66: 66 is divisible by 2, so it's not a prime number. - 67: 67 is divisible by only 1 and 67, making it a prime number. - 68: 68 is divisible by 2, so it's not a prime number. - 69: 69 is divisible by 3, so it's not a prime number.

Count and list the prime numbers

We found two prime numbers between 60 and 70: 61 and 67.