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?
(In reply to
General solution by Federico Kereki)
Your numbers are not all minimums. See Charlie's posts.
It appears you assumed q is a prime number. Your method still makes sense, but needs adjusting.

Posted by Jer
on 20060926 11:17:03 