nuisance vs problem

nuisance

noun
  • A minor annoyance or inconvenience. 

  • Anything harmful or offensive to the community or to a member of it, for which a legal remedy exists. 

  • A person or thing causing annoyance or inconvenience. 

problem

noun
  • A puzzling circumstance. 

  • A difficulty that has to be resolved or dealt with. 

  • A set of moves required to complete a climb. 

  • A question to be answered, schoolwork exercise. 

  • Objection. 

  • Difficulty in accepting or understanding or refusal to accept or understand. 

adj
  • Causing a problem; problematic; troublesome. 

  • Difficult to train or guide; unruly. 

How often have the words nuisance and problem occurred in a corpus of books? (source: Google Ngram Viewer )