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Dive deep after the decimal point (Posted on 2020-11-13) Difficulty: 3 of 5
Show that there is a digit unequal to 2 in the decimal representation of 31/3 between the 1000000th and 3141592nd position after the decimal point.

No Solution Yet Submitted by Danish Ahmed Khan    
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Solution Comment 2 of 2 |
Not necessarily satisfying, but still interesting:

1000001th decimal place of 3^(1/3) = 9

1000001th decimal place of 36449604241^(1/29) = 6

WolframAlpha solved the second example in just over a second. so I'm guessing there's an algorithm for it, but not a straightforward one.

The mere 100001th decimal place of 36449604241^(1/29) gives a string including the desired digit:

...02061494563675185733227062783016247523573310541115...



Edited on November 15, 2020, 10:28 pm
  Posted by broll on 2020-11-15 22:21:33

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