The numbers are: 31, 37, 41, 43, 47. Basically just check to make sure each number isn't divisible by 2, 3, 5, and 7, when you are looking at numbers less than 120.
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The prime numbers between 30 and 50 are 31,43,39,41, and 47
The prime numbers between 31 and 50 are 37,41,43,47.
prime numbers between 50 and 60: 53 & 59
prime numbers between 50 and 80 = 53,59,61,67 ,71,73,79
prime numbers between 40 and 50: 41, 43, 47