Sum of Prime Numbers Between 10 and 30

Prime numbers are fascinating because they are only divisible by 1 and themselves. Finding the sum of all prime numbers within a specific range, such as between 10 and 30, is a common exercise for both students and enthusiasts of mathematics.

Identifying Prime Numbers Between 10 and 30

To find the prime numbers between 10 and 30, we need to identify numbers that are only divisible by 1 and themselves. The prime numbers within this range are:

11 13 17 19 23 29

Summing the Prime Numbers

Now that we have identified the prime numbers, let's sum them up:

11 13 24 17 19 36 23 29 52

Adding these sums together gives:

24 36 52 112

Therefore, the sum of all prime numbers between 10 and 30 is 112.

Brute Force Solution Using J Programming Language

For those familiar with the J programming language, a concise solution can be provided as follows:

/10 30 rl p:i.15 112

This code identifies the prime numbers between 10 and 30, and then calculates their sum, which is 112.

Python 2.7 Implementation

To fully understand the process, let's implement the solution in Python. Here is a simple program:

def prime(n):
    flag  True
    for j in range(2, n):
        if n % j  0 and j ! n:
            flag  False
            return flag
        elif n  j:
            return flag
count  0
scount  0
for num in range(10, 31):
    if prime(num):
        count   1
        scount   num
print("The sum of the {} primes between 10 and 30 is {}".format(count, scount))

This program outputs:

Program to find the sum of prime numbers between 10 and 30. Here is the list: 1 : 11 2 : 13 3 : 17 4 : 19 5 : 23 6 : 29 The sum of the 6 primes between 10 and 30 is 112.

Thus, the sum is 112.