Initialize the Semiprimes Service

This is an exciting take-home assignment because I get to write a service in
Elixir!
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William Carroll 2020-12-11 18:52:35 +00:00
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# 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?