2
$\begingroup$

Prove or disprove: Any positive integer N can be expressed as N=a^x-b^y with a,b,x,y >1. (I don't know the answer or whether this conjecture has been addressed.)

$\endgroup$
2

1 Answer 1

3
$\begingroup$

This is a known open conjecture. See this Online Encyclopedia of Integer Sequences entry for references.

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

Not the answer you're looking for? Browse other questions tagged or ask your own question.