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Part of 2014 Bosnia and Herzegovina Junior BMO TST

Problems(1)

Bosnia and Herzegovina JBMO TST 2014 Problem 1

Source: Bosnia and Herzegovina Junior Balkan Mathematical Olympiad TST 2014

9/16/2018
Let xx, yy and zz be nonnegative integers. Find all numbers in form 13xy45z‾\overline{13xy45z} divisible with 792792, where xx, yy and zz are digits.
number theoryDigitsdivisible