Unsolved problems in number theory

  1. What are the most interesting examples of unsolved problems in number theory which an 18 year can understand?
     
  2. jcsd
  3. The Goldbach Conjecture is easy enough to understand: every even number greater than 2 is the sum of two prime numbers.
    Easy to state, fiendishly difficult to prove.
     
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  4. A lot are referenced in the book :
    "Unsolved problems in number theory", R.K.Gay, Springer Edit.
    Much of them are easy to understand.
     
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