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TOT 512 1996 Autumn J A5 500 000 multiples of A not end in 6 same digits

Source:

August 16, 2024
number theorylast digitsDigitDigits

Problem Statement

Does there exist a 66-digit number AA such that none of its 500000500 000 multiples AA, 2A2A, 3A3A, ..., 500000A500 000A ends in 66 identical digits?
(S Tokarev)
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