[math-fun] 5000 billion digits of Pi
Apparently, a certain Kondo from Japan in collaboration with Alexander Yee over internet successfuly computed pi to 5000 decimal digits, There is no mention of method, timing, what computer , etc. here is the news in french http://www.starwizz.com/japon-nombre-pi-calculs-67780 they mention it somewhere on the 'Le Monde' in Paris, best regards and have a nice day, simon plouffe
There is no mention of method, timing, what computer , etc
I've never actually fallen into this particular temptation, despite having developed an early multi-precision package for the Atlas I circa 1968. The nearest I came to getting sucked in was when my boss at the time walked in to my office with a visiting researcher who was investigating distribution of decimal(!) digits of sqrt2, and tentatively enquired whether a goodly chunk of same might be made available. My stock rose significantly after I reached into a nearby filing cabinet, and with studiedly elaborate causualness, deposited on my desk a lineprinter listing of the first 100K or so digits ... [the only such thing in my possession, which just happened to have been produced in the course of a recent software test]. But that was back in the stone age. Whatever one may think of the worth of the enterprise, these guys are astoundingly well-informed, well-equipped and determined. And one of them is at the same time finishing his degree --- not to mention apparently pursuing an enthusiasm for computer games. How do these fellows find time to eat or sleep? Fred Lunnon On 8/5/10, Hans Havermann <pxp@rogers.com> wrote:
There is no mention of method, timing, what computer , etc
http://www.numberworld.org/misc_runs/pi-5t/details.html
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The most evident objection to this kind of calculation is that base 10 is just an arbitrary choice. A continued fraction result would avoid this objection, and might actually be mathematically useful. The only such calculation I'm aware of was the one by RWG some 30 years ago that found 17 million terms. It appeared that pi has large denominators appearing earlier than would be expected for a random real number. Has anyone ever used these gazillion digits of pi for some purpose besides setting a new record? Here's a goal for the new decade: calculate pi to a quadrillion places, on a cell phone, while riding a unicycle. -- Gene
Eugene Salamin:
... A continued fraction result would avoid this objection, and might actually be mathematically useful. The only such calculation I'm aware of was the one by RWG some 30 years ago that found 17 million terms.
In 1985. I, for one, was inspired by his effort. In June 1999, Mathematica spewed out 20 million terms for me on my personal computer and in October 2000, 53 million terms. And if I could up that number (alas, my current machine is seven years old), I would. ;)
Has anyone ever used these gazillion digits of pi for some purpose besides setting a new record?
I attempted to create some interesting pictures from the data: http://chesswanks.com/pxp/cfpi.html
From: Hans Havermann <pxp@rogers.com> To: math-fun <math-fun@mailman.xmission.com> Sent: Thu, August 5, 2010 4:42:05 PM Subject: Re: [math-fun] 5000 billion digits of Pi Eugene Salamin:
... A continued fraction result would avoid this objection, and might actually be mathematically useful. The only such calculation I'm aware of was the one by RWG some 30 years ago that found 17 million terms.
In 1985. I, for one, was inspired by his effort. In June 1999, Mathematica spewed out 20 million terms for me on my personal computer and in October 2000, 53 million terms. And if I could up that number (alas, my current machine is seven years old), I would. ;) _______________________________________________ What pi algorithm did you use, arctan, AGM, Ramanujan's 1/pi, etc? Or, did you just use whatever was built into Mathematica? -- Gene
Eugene Salamin:
What pi algorithm did you use, arctan, AGM, Ramanujan's 1/pi, etc? Or, did you just use whatever was built into Mathematica?
Built-in: ContinuedFraction[Pi, 53000001] >> "CFPi53m" Looking through my old stuff, I just found a 483 MB file containing 160 million terms which I must have calculated when I moved up to my current dual-G5 in 2003. How could I forget?!
I wrote:
I just found a 483 MB file containing 160 million terms...
In fact, I have 180 million terms available online, as referenced in Sloane's A001203 http://www.research.att.com/~njas/sequences/A001203
participants (4)
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Eugene Salamin -
Fred lunnon -
Hans Havermann -
Simon Plouffe