Code RoomMiller-Rabin primality test
HardPrep Room Coding #1208

Miller-Rabin primality test

CodingAlgorithms & data structuresSenior–Staff~35 min

Determine whether a 64-bit integer n is prime using deterministic Miller-Rabin (a fixed set of bases suffices for n < 2^64). Return True/False. Constraints: 0 <= n < 2^63. Handle 0, 1, and small primes correctly. Trial division alone would be far too slow for n near 10^18.

Implement
is_prime(n: int) → bool
Examples
in[561]outfalse
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 35 min
InputExpectedGot
[561]falsenot run yetsample