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'Weekly Problem 22 - 2010' printed from http://nrich.maths.org/

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How many $2010$ digit numbers are there in which every pair of consecutive digits forms a two digit number that is divisible by $17$ or $23$?

If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.

 

 

This problem is taken from the UKMT Mathematical Challenges.

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