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|Champagnat numbers (Posted on 2018-01-23)
A Champagnat number is equal to the sum of all the digits in a set of consecutive positive integers, one of which is the number itself.
Thus, 42 is a Champagnat number, since 42 is the sum of all of the digits of 39, 40, 41, 42, 43, 44.
Prove that there exist infinitely many Champagnat numbers.
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