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22 220 038^m-22 220 038^n has 8 zeros at the end

Source: Finland 2017, p3

September 8, 2019
number theoryLast digitDigits

Problem Statement

Consider positive integers mm and nn for which m>nm> n and the number 22220038māˆ’22220038n22 220 038^m-22 220 038^n has are eight zeros at the end. Show that n>7n> 7.
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