is there a string of more than six zeros in the decimal of pi
xerus Tue 05/08/08 11:34
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As far as has been determined there is no consecutively occuring number in pi............which is why it stretches off into infinity.
Surely if there was a string of six zeros this would indicate a finite end to the number, and only one zero would therefore be necessary ?
Or am I missing something ?
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Monkeyeyes, if there WAS a string of six zeros in pi, as there are in other numbers, it doesn't signify the end, e.g. 48.00000000000000001, which is bigger than 48.0. If you see my point (not the decimal one!!?)
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Yes monkeyeyes, you are missing something.
A repeated digit among the decimal expansion of Pi (or any other figutre does NOT signify its end.
Consider the number
5.00000012345
That is certianly a larger number than 5.0.
It doesn't end prematurely just because of the several zeros.
Now to the original question.
The expression of Pi as a decimal has an infinite number of digits. That means it would take an infinite time to calculate and another infinite time to search it. There is absolutely no reason why Pi shouldn't have any digit repeated 6 times within its expression. Just don't expect me to be the one who goes looking for it.
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Of course...............
What I meant was that as far as I'm aware, there has been no six zero repetition discovered thusfar in pi.........
....and that if the final six figures were all zeros there is every likelihood that it would be assumed that the number terminated there ( given the amount of numbers post-decimal point already discovered) and in that case the final zero would suffice.
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d'oh !
"..........the first zero would suffice............."
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monkeyees - sorry but you are not correct.
How can the final digits be any set of numbers when the string is infinite?
Also, there is not only a six zero repetition within pi, there is also a seven zero repetition and an eight zero repetition within the first 200 million digits of pi.
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Ah.............they've obviously discovered more numbers than I've been privy to..............:o)
*note to self*
Must buy larger sheets of lined paper.........
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There must be somewhere in it. If you could prove that there were not it would be a remarkable result.
There is the Feynman point which I guess you know about. the 762nd place where there is a sequence of 6 9s
It gets it's name because Richard Feynman once famously announced he wished he could memorise pi to that point so he could say
"pi is 3.141....999999 and so on"
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If we assume that the digits in pi are infinite and random (and that is what is indicated so far) then any sequence of digits you care to mention is bound to occur in it.
If you were to convert the digits to letters and punctuation, you'd certainly get Hamlet, and all the rest of Shakespeare, and Dickens and Tolstoy....
You wouldn't need monkeys and typewriters.
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I have a computer these days, thankyouveryuch !!
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Question Author
i conclude using stochastic field theory that after the first string of six zeros the rest of the decimals are random
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As far as we know all the digits are random, including the six zeros.
Why should 000000 be any less random than 845032 or 123456?
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while it is is possible it would take a infinite amount of time to confirm its exact location
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