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1/998001

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Work with numbers sometimes presents interesting surprises. Some mathematicians made a career finding such interesting, but in most cases useless cases.

Unfortunately, most of the tools that are used for calculations will hide the result, but if you find one that doesn’t (1/998001 = 1.002003004005006e-06), it may not be immediately noticeable, but dividing 1 by 998001 gives as a result, all the numbers are from 001 to 999.
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If you are interested in this kind of mathematics, then 1/9801 will produce a similar result, a sequence of numbers from 01 to 99

You can see in WolframAlpha. Click “More digits” in the “Decimal approximation” block:
www.wolframalpha.com/input/?i=1%2F998001
www.wolframalpha.com/input/?i=1%2F9801

Source: https://habr.com/ru/post/137092/


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