Sum of the prime number 70-80
Mathematics
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Answer
The sum of the prime numbers between 70 and 80 is 223.
Step-by-step solution
2 stepsSteps:
Identify prime numbers between 70 and 80
- A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.
- Numbers in the range: 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80.
- Eliminate even numbers (except 2, which is not in this range) and multiples of 5: 70, 72, 74, 75, 76, 78, 80 are not prime.
- Check remaining numbers:
- 71: Not divisible by 2, 3, 5, 7. (√71 ≈ 8.4, so we only need to check primes up to 7). Thus, 71 is prime.
- 73: Not divisible by 2, 3, 5, 7. (√73 ≈ 8.5). Thus, 73 is prime.
- 77: Divisible by 7 (77 = 7 × 11). Not prime.
- 79: Not divisible by 2, 3, 5, 7. (√79 ≈ 8.8). Thus, 79 is prime.
- The prime numbers in this range are 71, 73, and 79.
Calculate their sum
- Sum = 71 + 73 + 79
- Sum = 144 + 79
- Sum = 223
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