tvl-depot/assessments/semiprimes

Semiprimes Service

Introduction

A composite is a number containing at least two prime factors. For example:

15 = 3 × 5
9 = 3 × 3
12 = 2 × 2 × 3

There are ten composites below thirty containing precisely two, not necessarily distinct, prime factors: 4, 6, 9, 10, 14, 15, 21, 22, 25, 26. Let’s call such numbers Semiprimes.

Task

• Write a module which provides a function to tell whether a given number, N, is a semiprime. N will be less than 100,000
• Please implement an API (RESTful or GraphQL) to factor a given number into two prime numbers if it’s a semiprime, otherwise, return an error message.

Stretch Goals

• Handle the invalid inputs.
• Support batch requests: i.e. users could provide 100 numbers, and the API return the answer for all.
• Considering this module will be used by a long running service, could you optimize it to give answers faster?