They are: 31 37 41 43 47 53 and 59
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There is no prime number between 60 and 80 that has a consecutive sum. The prime numbers between 60 and 80 are 61, 67, and 71, but none of them have consecutive sums.
The only twin primes (prime numbers which differ by 2) between 30 and 60 are (41, 43)
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A prime number won't be divisible by 5
Because a prime number is a number that has exactly two factors: 1 and itself. 60 has 12 factors: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60.