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Why are all 6 - digit Fredholl numbers composite?

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  1. 7 June, 05:45
    If we have a 6 - digit fredholl number, all numbers must consist of 3 occurrences of digits A, and 3 occurrences of digits B.

    So a sum of their digits is 3a+3b

    3a+3b=3 (a+b) and this number is divisible by 3,

    Therefore any 6-digit fredholl number is divisible by 3.

    If a number is divisible by any other number than 1 and itself, we call that number a composite number.
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