Art of Problem Solving

1978 IMO Problems/Problem 1: Difference between revisions

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Created page with "==Problem== <math>m</math> and <math>n</math> are positive integers with <math>m < n</math>. The last three decimal digits of <math>1978^m</math> are the same as the last thre..."
 
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==Solution==
==Solution==
{{Solution}}
{{Solution}}
Solution is available here:
https://www.youtube.com/watch?v=SRl4Wnd60os

Revision as of 17:48, 4 November 2019

Problem

$m$ and $n$ are positive integers with $m < n$. The last three decimal digits of $1978^m$ are the same as the last three decimal digits of $1978^n$. Find $m$ and $n$ such that $m + n$ has the least possible value.

Solution

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Solution is available here: https://www.youtube.com/watch?v=SRl4Wnd60os