## Description
Math Algorithm Sieve of Eratosthenes creates a boolean list (I made it binary for compact screen view) marking numbers from 0 to num as potentially prime, then iteratively marks multiples of each prime starting from p² as composite. The implementation returns a list of all prime numbers up to the given limit using list comprehension.
*Complexity Analysis:*
- Time Complexity: O(n log log n) — the inner loop marks multiples of each prime, and the sum of reciprocals of primes converges to log log n
- Space Complexity: O(n) — requires a boolean array of size n+1
*Timestamps:*
0:00 — Input Validation And Initialize Prime Flags
0:09 — Main Loop Marking Multiples Starting From P Squared
0:58 — List Comprehension To Collect Prime Numbers and Return
*Resources:*
Telegram: https://t.me/benabub_algoviz
GitHub: https://github.com/benabub
Support channel: https://boosty.to/benabub