Sieve of Eratosthenes
Advanced Maths DSA practice problem on Onlearn.
Difficulty: medium.
Topics: What is the Sieve of Eratosthenes and how can it be used to efficiently generate all prime numbers up to a given integer n?, Prime Numbers, Mathematical Algorithms, Sieve of Eratosthenes, Time Complexity, Space Complexity, Arrays, Loops, Conditional Statements, number theory, iterative algorithms, space complexity, visited tracking, array manipulation, time complexity analysis, Prime Numbers, Boolean Marking, Specific Time Complexities.
Problem Statement You are given a positive integer N. Your task is to find all prime numbers up to N (inclusive). A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. Input Specification The input consists of a single integer N (1 <= N <= 10^6). Output Specification Print all prime numbers up to N, each on a new line, in ascending order. Constraints 1 <= N <= 10^6