Sum of all the prime numbers between 70 and 100 is :

Question

Accepted Answer

To determine the sum of all prime numbers between 70 and 100, we first need to identify the prime numbers within this range. A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.

The prime numbers between 70 and 100 are:
- 71
- 73
- 79
- 83
- 89
- 97

Now, let's calculate the sum of these prime numbers:

71 + 73 + 79 + 83 + 89 + 97 = 492

Therefore, the sum of all the prime numbers between 70 and 100 is 492, which corresponds to Option 1.

Explanation for why each of the other options is incorrect:

- **Option 2 (385):** This sum is incorrect because it does not account for all the prime numbers between 70 and 100. The calculation of 385 would involve missing or incorrect numbers.

- **Option 3 (421):** This sum is also incorrect. It does not match the actual sum of the identified prime numbers. The discrepancy indicates that not all prime numbers were included or an error was made in the addition.

- **Option 4 (419):** Similar to the other incorrect options, 419 does not equal the sum of the prime numbers between 70 and 100. This suggests an error in identifying or summing the prime numbers.

In conclusion, the correct sum of all prime numbers between 70 and 100 is 492, which is why Option 1 is the correct answer.