From c23a12746c8192859436392737de1667083e098a Mon Sep 17 00:00:00 2001 From: William Carroll Date: Fri, 11 Dec 2020 18:52:35 +0000 Subject: Initialize the Semiprimes Service This is an exciting take-home assignment because I get to write a service in Elixir! --- assessments/semiprimes/README.md | 30 ++++++++++++++++++++++++++++++ 1 file changed, 30 insertions(+) create mode 100644 assessments/semiprimes/README.md (limited to 'assessments/semiprimes/README.md') diff --git a/assessments/semiprimes/README.md b/assessments/semiprimes/README.md new file mode 100644 index 000000000000..3ea04b6b34cc --- /dev/null +++ b/assessments/semiprimes/README.md @@ -0,0 +1,30 @@ +# 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 10^5. +- 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? -- cgit 1.4.1