tvl-depot/assessments/semiprimes
William Carroll 1eab926121 Define stubbed default.nix
In case I want to package this project with Nix. For now, it's useful to store
this at the project root because it help my Emacs's `project-find-file`
function.
2020-12-11 22:43:53 +00:00
..
server Define Math module 2020-12-11 22:43:26 +00:00
default.nix Define stubbed default.nix 2020-12-11 22:43:53 +00:00
README.md Initialize the Semiprimes Service 2020-12-11 18:52:35 +00:00

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. Lets 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 10^5.
  • Please implement an API (RESTful or GraphQL) to factor a given number into two prime numbers if its 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?