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Romanian mathematician Dimitrie Pompeiu (1873-1954) posed the following puzzle: ABC398246 is a nine-digit number exactly divisible by 317, whose first three digits (A,B,C) are unknown. What are the digits A, B, and C?

 

  Submitted: 1999-09-02 18:40:00;   Last Modified: 2009-01-04 07:16:34.



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