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.)
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2$\begingroup$ mathoverflow.net/questions/297601/… $\endgroup$– François BrunaultApr 25, 2018 at 4:24
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$\begingroup$ Unfortunately, this post cannot be closed as a duplicate because the other question does not have an upvoted or accepted answer. $\endgroup$– Alex M.Apr 25, 2018 at 6:03
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1 Answer
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This is a known open conjecture. See this Online Encyclopedia of Integer Sequences entry for references.