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 Repeating decimals (Posted on 2006-09-25)
The decimal expansion of 1/271 repeats with a period of length 5:
.003690036900369 ...

However, it is not the smallest number q for which the decimal expansion of 1/q has a repetition length of 5.

Find the smallest q so that the decimal expansion of 1/q has repetition length n for each of {1, 2, ..., 10}

Is there a simple way of finding such a number?

 See The Solution Submitted by Jer Rating: 4.5000 (2 votes)

 Subject Author Date re(6): General solution Richard 2006-09-27 15:52:05 re(5): General solution Old Original Oskar! 2006-09-27 11:47:07 re(4): General solution Richard 2006-09-26 23:07:48 re(3): General solution Old Original Oskar! 2006-09-26 16:14:41 re(2): General solution Federico Kereki 2006-09-26 11:34:15 re: General solution Jer 2006-09-26 11:17:03 General solution Federico Kereki 2006-09-26 10:58:27 re(3): computer exploration brianjn 2006-09-25 23:36:50 re(2): computer exploration Jer 2006-09-25 11:46:38 re: computer exploration Charlie 2006-09-25 11:35:02 computer exploration Charlie 2006-09-25 11:03:49

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