MathDB

3

Part of 2017 Finnish National High School Mathematics Comp

Problems(1)

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

Source: Finland 2017, p3

9/8/2019
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.
number theoryLast digitDigits