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PUZZLET 026

Palindromic Odometer Readings

Three different odometers just happen to be recording numerical palindromes simultaneously: 662266, 74647, and 1001.  They all continue to increment at the same rate. When any odometer reaches a maximum value, it rolls over to zero and starts to increment from there. Odometer

Note that they are all different types: a 4-digit, a 5-digit, and a 6-digit version. What will each device display the next time they are all simultaneously palindromic?

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Last Updated: January 11th, 2010.