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How does one prove this

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From what I have seen, the longest length of a repeating sequence for an irrational number is c-1 for a=b/c. This occurs when c is a prime. How does one prove this? Can you give mathematical proof for this?

Here is a link to the problem being discussed: https://boards.straightdope.com/sdmb/showthread.php?t=720360

Reference no: EM13899522

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