Need an idea for a web application in Java 7.8. What do you advise?

Question

Java

Colleagues, IT people, please give me an idea for a Java 7.8 web application using the following libraries/technologies:

• Spring 4
  
• Concurrency
  
• RESTful WS/SOAP
  
• Hibernate
  

The fact is that there is one vacancy that I would like to get a job, but there is little or no experience in these technologies.
Therefore, I want to make a project and learn along the way, preferably in half a month.

Answer 1

so what to invent -> come to these gentlemen in the office, and ask for it as an intern, for their project.

Answer 2

You can write a service that takes a large array of numbers, divides into subarrays and counts the squares of the numbers in the subarrays and puts them in the database with a request ID. It should be possible to request calculated data by ID.
And put it all on github, then it will come in handy.