229

Since Pi is infinite and non-repeating, would that mean any finite sequence of non-repeating numbers should appear somewhere in Pi?

posted
*
by
Avatar
Melatonin@lemmy.dbzer0.com
in
Avatar
asklemmy@lemmy.ml
150 comments
hidereport

How about ANY FINITE SEQUENCE AT ALL?

Sort:
HotTopControversialNewOld
You are viewing a single thread.
View all comments
Avatar
AbouBenAdhem@lemmy.world
75 points
*

A number for which that is true is called a normal number. It’s proven that almost all real numbers are normal, but it’s very difficult to prove that any particular number is normal. It hasn’t yet been proved that π is normal, though it’s generally assumed to be.

permalink
report
reply
Avatar
prime_number_314159@lemmy.world
12 points

I love the idea (and it’s definitely true) that there are irrational numbers which, when written in a suitable base, contain the sequence of characters, “This number is provably normal” and are simultaneously not normal.

permalink
report
parent
reply
Avatar
silasmariner@programming.dev
4 points

Technically to meet OPs criteria it needs only be a rich number in base 10, not necessarily a normal one. Although being normal would certainly be sufficient

permalink
report
parent
reply

Asklemmy

!asklemmy@lemmy.ml

Create post

A loosely moderated place to ask open-ended questions

Search asklemmy 🔍

If your post meets the following criteria, it’s welcome here!

  1. Open-ended question
  2. Not offensive: at this point, we do not have the bandwidth to moderate overtly political discussions. Assume best intent and be excellent to each other.
  3. Not regarding using or support for Lemmy: context, see the list of support communities and tools for finding communities below
  4. Not ad nauseam inducing: please make sure it is a question that would be new to most members
  5. An actual topic of discussion

Looking for support?

Looking for a community?

Icon by @Double_A@discuss.tchncs.de

Community stats

  • 7.9K

    Monthly active users

  • 5.8K

    Posts

  • 316K

    Comments

Community moderators