Fesshole 🧻My phone number is a 7-digit prime that shows up in the digits of pi. My husband's phone number is a 7-digit prime that shows up in the digits of e. We met when training students for the Maths Olympiad. The fess is how nerdy we both are.
Gaelan Steele@fesshole wait, isn’t it safe to assume any sequence of 7 digits will appear at some point in the digits of both pi and e?
no_brainer
Anton Piatek@no_brainer @Gaelan @fesshole I guess it's more whether they're in the first hundred digits otherwise yes it's sort of meaningless as I am also fairly sure every combination occurs somewhere as that's part of being irrational
@no_brainer @Gaelan @fesshole I'm not certain but I thought most sequences were, and 7 is a short length.
Guess you can search for your number on a page with the first million digits
https://www.piday.org/million/
Guess you can search for your number on a page with the first million digits
https://www.piday.org/million/
@no_brainer @Gaelan @fesshole mind you, not many digits of my phone number appear. Maybe this is more special
@sldrant @Gaelan @fesshole Thoughts
If we would know all the infinite digits of an irrational number there would be only one (infinite) sequence that matches the digits. If we take away the last digit of our infinite sequence there is at least one match available if we would take out a digit in the middle there will be no match. So I guess it is not necessarily given that a match of *any* 7 digit sequence can be found in the digits of an irrational number.
@no_brainer @Gaelan @fesshole what about a 6 digit? 5 digit? At what point does it always contain every sequence?
@no_brainer @Gaelan @fesshole my degree was 20 years ago, I'm so out of this way of thinking. I'd love to know the answer too...
(AI said it is not guaranteed nor proven, but also doesn't say it can't happen)
(AI said it is not guaranteed nor proven, but also doesn't say it can't happen)
Chaucerburnt@Gaelan @fesshole now I check further, while it's not confirmed that *every* digit sequence shows up somewhere in pi, looks like it has been confirmed that every 7-digit sequence can be found in the first 1 billion digits.
So you are absolutely right. I got distracted by the more general question, apologies!
GĂ©rard Fadrelle@Gaelan you have an application for that ^^ : https://www.angio.net/pi/
(with 100 million of pi decimals, the odds seems to be 99.995%)
@fesshole