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Edi
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If pi is infinite and nonrepetive and every number combination is in pi, somewhere, does that mean pi itself is in pi somewhere.. ? (that would make it periodic)
Edi said:If pi is infinite and nonrepetive and every number combination is in pi, somewhere, does that mean pi itself is in pi somewhere.. ? (that would make it periodic)
Is there any proof that every (finite) number combination is in pi?If pi is infinite and nonrepetive and every number combination is in pi, somewhere, does that mean pi itself is in pi somewhere.. ? (that would make it periodic)
Dead Boss said:Is there any proof that every (finite) number combination is in pi?
Interesting but does not answer the question which was about the entire countable string. On the other hand, Edi seems to be under the impression that we could have entire string, then additional digits which is not possible.telecomguy said:The string 31415926 occurs at position 50,366,472 counting from the first digit after the decimal point.
http://www.angio.net/pi/bigpi.cgi
Khashishi said:You are looking for a number n such that 10^n*pi-pi is an integer. Call this integer q.
Then (10^n-1)*pi = q
pi = q/(10^n-1)
Khashishi said:You are looking for a number n > 0 such that 10^n*pi-pi is an integer.
jbriggs444 said:Well, I could be even more picky and take n = 0.1200175... and q = 1.
"Pi inside pi inside pi" refers to a mathematical concept in which the digits of the number pi (3.14159...) are found within the digits of pi itself, creating a seemingly infinite pattern.
This concept is possible because pi is an irrational number, meaning it has an infinite number of non-repeating digits. Therefore, any sequence of numbers can be found within pi, including itself.
The concept of "pi inside pi inside pi" is primarily a theoretical concept, but it has been used to test and develop algorithms for computing large numbers of digits of pi. It also serves as an interesting example of the infinite nature of pi and irrational numbers in general.
As pi is an infinite and non-repeating number, theoretically any sequence of numbers can be found within it. However, as the sequence gets longer, the likelihood of its occurrence decreases exponentially.
Yes, this concept can be applied to other irrational numbers with infinite and non-repeating digits, such as the square root of 2 or Euler's number. However, the occurrence of a specific sequence within these numbers is also unlikely due to their infinite nature.