has anybody ever calculated if Pi (3.14)ever repeats in sequence?

Question

how many digits out if any if Pi(3.14) will the digits begin to repeat itself

Answer 1

My understanding is there's a computer somewhere still calculating pi... and I was told this over thirty years ago! Evidently volumes have been printed with all the digits to date, and there has never been a repeat in it's sequence yet.

Answer 2

Depends on what you mean by repeat. The value of Pi has been calculated to over 1 trillion digits with no simple (ie detectable by computer) repetition detected. There comes a point where, if there is a pattern, it is so incredibly convoluted and complex that it escapes our ability to detect it.

Note that with only 50 digits of Pi, the circumference of any circle that would fit in the observable universe (ignoring the curvature of space) could be computed with an error less than the size of a proton. What this means is that there are limits to what is practical vs what is theoretical. That limit is reached quite rapidly with Pi and anything beyond that is in the realm of fantasy instead od reality.

I mean, let's say we do find a repeat of the pattern in Pi after calculating it to the 100 trillionth digit. Does that mean anything? Nope. It is so far away from reality as to be a delusion.

Answer 3

Pi, which is the ratio of a circle's circumference to its diameter, is an irrational number. This fact was proved in 1761 by Johann Heinrich Lambert, a German mathematician, physicist, and astronomer.

Irrational numbers are numbers that cannot be expressed as a ratio of two integers which means that pi will never repeat.

It is possible to find sequences in pi. For example, 314 first occurs at position 2,120 after the decimal point and 314159 occurs at position 176,451. However, the distribution of these sequences does not seem to have any pattern.

Answer 4

So far, no repeating sequence has been found. People are working on this problem all the time. I think pi's been calculated out to several million (possibly more) decimal places, and still no repeating sequences have shown up.

EDITED TO ADD: I just googled pi, and found that a Johann Lambert back in the 1700s proved that pi has no repeating decimals.

Answer 5

π has long ago been proven to be an irrational number, meaning its decimal representation will never have a repeating pattern. Many mathematicians are fascinated by the decimal representation of π, though, and will continue to write programs to try to develop it to more decimal places than ever before. Part of the fascination is due to its seemingly random distribution of digits.

If you're interested in π and the distribution of its digits, grab your favorite search engine and look up a "Pi Search Page." (A couple of them are http://www.angio.net/pi/bigpi.cgi and http://www.pisearch.de.vu .) You can enter any string of digits and the program will show you where in π it is. There is a string of eight 8's about 47 million decimal places after the decimal point in π. There is a string of six 0's less than 1.7 million decimal places after the point. My Social Security number is there, all nine digits in a row of it, but I'd have to go 134 million decimal places after the point to find it. My eight-digit birthday (mmddyyyy) is in π, too... almost 174 million decimal places in. It's pretty cool, in a math-geek sort of way.

Answer 6

Pi never repeats it's sequence or to be more exact no one has ever found it to repeat it's sequence .

Answer 7

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Answer 8

Yes,but you'll have to study/research for the answer yourself

Answer 9

i suppose so. they wouldn't dare to teach us something wrong, would they?:)))