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Since Pi is infinite and non-repeating, would that mean any finite sequence of non-repeating numbers should appear somewhere in Pi? (lemmy.dbzer0.com)

submitted 2 days ago* (last edited 2 days ago) by Melatonin@lemmy.dbzer0.com to c/asklemmy@lemmy.ml

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How about ANY FINITE SEQUENCE AT ALL?

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[–] 0x0@lemmy.dbzer0.com 60 points 2 days ago (1 children)

The jury is out on whether every finite sequence of digits is contained in pi.

However, there are a multitude of real numbers that contain every finite sequence of digits when written in base 10. Here's one, which is defined by concatenating the digits of every non-negative integer in increasing order. It looks like this:

0 . 0 1 2 3 4 5 6 7 8 9 10 11 12 ...

[–] sinedpick@awful.systems 2 points 1 day ago

fun fact, "most" real numbers have this property. If you were to mark each one on a number line, you'd fill the whole line out. Numbers that don't have this property are vanishingly rare.