What Are Some Accessible Unsolved Problems in Number Theory for Teens?

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matqkks
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What are the most interesting examples of unsolved problems in number theory which an 18 year can understand?
 
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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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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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