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Solve Sum of Prime Numbers using Python Language

Solve Sum of Prime Numbers using Python to enhance your skills with python coding practice , master coding concepts, and prepare for interviews with practical exercises and detailed solutions.

Sum of Prime Numbers

Difficulty : Easy

Categories :

  • Searching algorithms
  • Mathematics

Given a positive integer N, find the sum of all prime numbers between 1 and N (inclusive).

Constraints:

  • 1 ≤ N ≤ 1000000

Examples:

Input: N = 5
Output: 10
Explanation: Prime numbers between 1 and 5 are 2, 3, and 5.
Their sum is 2 + 3 + 5 = 10.
Input: N = 10
Output: 17
Explanation: Prime numbers between 1 and 10 are 2, 3, 5, and 7.
Their sum is 2 + 3 + 5 + 7 = 17.

Follow-up:

Can you optimize your solution to achieve the expected time complexity of O(N*log(log(N))) using the Sieve of Eratosthenes algorithm?

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