Given: list of prime numbers from 50 through 75
Required: List of numbers
Explanation:
To determine the prime numbers between 50 and 75, we need to determine if each of the numbers between 50 and 75 are prime. The numbers in question are as follows:
50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75.
We can eliminate the even numbers from this list because all even numbers are divisible by 2, which means they have a factor other than 1 and themselves.
51,53,55,57,59,61,63,65,67,59,71,73,75.
Now, consider the numbers that have a factor of 3 in this list. These would include 51, 57, 63, 69, and 75. so we can eliminate them from our list.
53,55,59,61,65,67,71,73.
None of the numbers in this list have a factor of 4, so we can't eliminate any on those grounds. However, any number that has a factor of 5 ends in 0 or 5. Notice that 55 and 65 both end in 5, so they have a factor of 5,
53,59,61,67,71,73.53: The only factors of 53 are 1 and 53.59: The only factors of 59 are 1 and 59.61: The only factors of 61 are 1 and 61.67: The only factors of 67 are 1 and 67.71: The only factors of 71 are 1 and 71.73: The only factors of 73 are 1 and 73.
Final Answer: The prime numbers between 50 and 75 are 53, 59, 61, 67, 71, and 73.