Code Room
CodingMediumcod-g838
Subject PrimesLevel Mid–Senior~20 minCommon in Algorithms & data structures interviewsIndustries Software development

Question

Return the number of prime numbers less than or equal to n (the prime-counting function pi(n)), for n up to 10^6. Per-number trial division is too slow; build a Sieve of Eratosthenes once and count the survivors. Return 0 for n < 2.

Implement
count_primes(n: int) → int
Examples
in[10]out4
What a strong answer looks like

State your approach and its time/space complexity out loud before you optimize. Handle the edge cases (empty input, duplicates, overflow), and say why you chose this over the brute force. Green tests are the floor, not the grade.

Vibe coding: describe the solution in plain language (or narrate it) and the coach grades your approach. Generating runnable code from your description is coming next.

Run or narrate your approach, then ask the coach.