olymmath

CN-TST 2017 Problem 22

  • Test 4

Given integer d>1,md>1,m ,prove that there exists integer k>l>0k>l>0 , such that (22k+d,22l+d)>m.(2^{2^k}+d,2^{2^l}+d)>m.

Dataset text AI-MO AoPS. Quoted with source.

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