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29 June, 23:41

Explain why all 6-digit freholl numbers are composite

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  1. 29 June, 23:45
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    Fredholl numbers are numbers, which have 2 different digits, equal number of each one, and zero cannot be the first digit.

    6-digit fredholl numbers are all composite because, all of them can be divided by 3.

    Let's prove it:

    Number can be divided by 3, when sum of it's digits can be divided by 3.

    6-digit fredholl number must consist of three digits A, and three digits B.

    So a sum of their digits is 3A+3B

    3A+3B=3 (A+B) so this number is divisible by 3,

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