To find the sum of prime numbers that are greater than 60 but less than 70, we first identify the prime numbers within this range. A prime number is a number that has no divisors other than 1 and itself. The numbers to consider between 60 and 70 are:
61
62
63
64
65
66
67
68
69
We check each number for primality:
61: Divisible only by 1 and 61 (Prime)
62: Divisible by 2 (Not Prime)
63: Divisible by 3 (Not Prime)
64: Divisible by 2 (Not Prime)
65: Divisible by 5 (Not Prime)
66: Divisible by 2 (Not Prime)
67: Divisible only by 1 and 67 (Prime)
68: Divisible by 2 (Not Prime)
69: Divisible by 3 (Not Prime)
The prime numbers are 61 and 67. We now calculate their sum:
Sum = 61 + 67 = 128
Therefore, the sum of the prime numbers that are greater than 60 but less than 70 is 128.