Journey into PI Resize


Is \(\pi\) normal? Try it here

On this page we propose the following:

in the field "Number of digits" choose the order of magnitude of the numbers that the program will generate randomly. Then, a Table will be constructed where, for each of these numbers, the number of its occurrences in the first \(1\,000\), \(10\,000\), \(100\,000\),  \(\ldots\), \(1\,000\,000\,000\) significant figures of \(\pi\) will be represented.

Number of digits: 

Note: The next page is very demanding and can take a few minutes to appear.

Example, for Number of digits= 3,

\(10^3\) \(10^4\) \(10^5\) \(10^6\) \(10^7\) \(10^8\) \(10^9\)
\(865\) 2 14 113 1004 9913 99664 1000046
\(585\) 1 8 107 978 9922 98498 989805
\(142\) 1 16 103 1004 10014 100301 999829
\(815\) 2 12 105 1009 9848 99542 998577
\(650\) 0 5 104 1041 10207 100237 999627
\(384\) 4 9 100 990 10040 100282 1001342
\(315\) 1 10 92 950 9890 99703 999335
\(740\) 0 2 87 950 9997 99725 1000436
\( 464\) 0 12 116 1026 9968 98555 988914
\(534\) 4 10 112 967 10015 99990 999857
\(455\) 1 13 107 1046 10018 99813 1000578
\(384\) 4 9 100 990 10040 100282 1001342
\(658\) 1 17 98 976 9875 99549 1000566
\(755\) 1 7 101 1035 10011 99700 998776
\(306\) 1 14 101 947 9734 99472 999432
\(443\) 0 7 95 921 9217 91404 908194
\(574\) 0 11 98 990 9901 100373 1001248

Suggestion: analyze, for each of the columns, the order of magnitude of the different occurrences.
Repeat the experiment for sequences with other orders of magnitude.