Code RoomNth prime number
MediumPrep Room Coding #759

Nth prime number

CodingAlgorithms & data structuresMid–Senior~25 min

Return the nth prime number, 1-indexed (so the 1st prime is 2, the 6th is 13). Assume 1 <= n <= 10000. You do not know the value of the nth prime in advance, so you must size your sieve adaptively or grow it until you have collected enough primes.

Implement
nth_prime(n: int) → int
Examples
in[6]out13
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.

0:00 of about 25 min
InputExpectedGot
[6]13not run yetsample