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Is there a sequence in pi?

Posted on July 18, 2021 by Author

Table of Contents

  • 1 Is there a sequence in pi?
  • 2 Is Pi infinitely big?
  • 3 Does pi contain all finite sequences?
  • 4 Does $\\Pi$ contain every possible string of digits?
  • 5 What is the probability of pi being statistically random?

Is there a sequence in pi?

After thousands of years of trying, mathematicians are still working out the number known as pi or “?”. We have known since the 18th century that we will never be able to calculate all the digits of pi because it is an irrational number, one that continues forever without any repeating pattern.

Is Pi infinitely big?

Pi is not infinitely large, if that’s what you mean by an “infinite number”. It does have infinitely many non-repeating decimal places because it is an “irrational number”. Irrational numbers cannot be expressed as the ratio of two integers (like a fraction).

Does pi contain all finite sequences?

Does π contain all possible number combinations? Pi is an infinite, nonrepeating (sic) decimal – meaning that every possible number combination exists somewhere in pi.

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Does the number pi contain every finite sequence of numbers?

Mathematician: As it turns out, mathematicians do not yet know whether the digits of pi contains every single finite sequence of numbers.

Is Pi an infinitely repeating number?

On the other hand, since pi is an irrational number, we do know that its digits never terminate, and it does not contain an infinitely repeating sequence (like 12341234123412341234…).

Does $\\Pi$ contain every possible string of digits?

However, if the decimal expansion of $\\pi$ contains every possible finite string of digits, which seems quite likely, then the rest of the statement is indeed correct. Of course, in that case it also contains numerical equivalents of every book that will never be written, among other things.

What is the probability of pi being statistically random?

In particular, if we generate a number from an infinite stream of digits selected uniformly at random, then there is a probability of 100\% that such a number contains each and every finite sequences of digits, and pi has the appearance of being statistically random.

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