first message from 1 Aug 97     -     second message from April 99
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Posted-Date: Fri, 1 Aug 1997 15:20:22 -0200 (GMT)
Mime-Version: 1.0
Date: Fri, 1 Aug 1997 15:32:00 +0200
To: Lukas Mueller <lmueller@pop.agri.ch>
From: xpolakis@hol.gr (Antreas P. Hatzipolakis)
Subject: Pi
 
Dear Lukas,
Greetings from Athens - Antreas
Latest PI news by Kanada Pi-Laboratory
 
Dear PI people;
 
Now is the time for the announcement of new world record of pi. It took longer time than our expectation. Nearly two years has passed since we got new world record of 6.4 billion. Now, we got eight times more record than 6.4 billion as the following texts which you can get with anonymous ftp
Our latest record was established as follows:
 
Declared record: 51,539,600,000 decimal digits
 
Two independent calculations based on two different algorithms generated 51,539,607,552 (=3*2^34) decimal digits of pi and comparison of two generated sequences matched 51,539,607,510 decimal digits, e.g., a 42 decimal digits difference. Then we are declaring 51,539,600,000 decimal digits as the new world record. (See related lecture on Pi.)
 
Main program run:
Job start : 6th June 1997 22:29:06
Job end : 8th June 1997 03:32:17
Elapsed time : 29:03:11
Main memory : 212 GB
Algorithm : Borwein's 4-th order convergent algorithm
(Run the algorithm.)
 
Verification program run:
Job start : 4th July 1997 22:11:42
Job end : 6th July 1997 11:19:58
Elapsed time : 37:08:16
Main memory : 188 GB
Algorithm : Gauss-Legendre algorithm (Brent-Salamin)
 
Machine used: HITACHI SR2201 at the Computer Centre, University of Tokyo, with 1024 Processors.
 
50,000,000,000-th digits of pi and 1/pi:
 
pi : 85133 98712 75109 30042
1/pi: 1191 08624 25640 78042
 
(First digit '3' for pi or '0' for 1/pi is not included in the above count.)
 
Frequency distribution for pi-3 up to 50,000,000,000 decimal places:
 
'0' : 5000012647; '1' : 4999986263; '2' : 5000020237; '3' : 4999914405
'4' : 5000023598; '5' : 4999991499; '6' : 4999928368; '7' : 5000014860
'8' : 5000117637; '9' : 4999990486;
Chi square = 5.60
 
Frequency distribution for 1/pi up to 50,000,000,000 decimal places:
 
'0' : 4999969955; '1' : 5000113699; '2' : 4999987893; '3' : 5000040906
'4' : 4999985863; '5' : 4999977583; '6' : 4999990916; '7' : 4999985552
'8' : 4999881183; '9' : 5000066450;
Chi square = 7.04
 
51,539,600,000-th digits of pi and 1/pi
 
pi : 70532 46569 86142 12904
1/pi: 0081 50624 62192 72973
 
(First digit '3' for pi or '0' for 1/pi is not included in the above count.)
 
Some interesting digit sequences
 
0123456789 : from 17,387,594,880-th of pi
0123456789 : from 26,852,899,245-th of pi
0123456789 : from 30,243,957,439-th of pi
0123456789 : from 34,549,153,953-th of pi
0123456789 : from 41,952,536,161-th of pi
0123456789 : from 43,289,964,000-th of pi
 
9876543210 : from 21,981,157,633-th of pi
9876543210 : from 29,832,636,867-th of pi
9876543210 : from 39,232,573,648-th of pi
9876543210 : from 42,140,457,481-th of pi
9876543210 : from 43,065,796,214-th of pi
 
09876543210 : from 42,321,758,803-th of pi
 
27182818284 : from 45,111,908,393-th of pi
 
0123456789 : from 6,214,876,462-th of 1/pi
01234567890 : from 50,494,465,695-th of 1/pi
 
9876543210 : from 15,603,388,145-th of 1/pi
9876543210 : from 51,507,034,812-th of 1/pi
 
999999999999 : from 12,479,021,132-th of 1/pi
 
(First digit '3' for pi or '0' for 1/pi is not included in the above count.)
 
Programs were written by Mr. Daisuke TAKAHASHI, a Research Associate at our Computer Centre.
Message passing routines were written by myself.
CPU used was the HITACHI SR2201 at the Computer Centre, University of Tokyo.
1024 PE's were definitely used through single job parallel processing for total of two programs run.
======================================================================
Yasumasa KANADA
Computer Centre, University of Tokyo
Bunkyo-ku Yayoi 2-11-16
Tokyo 113 Japan
Fax : +81-3-3814-7231 (office)
E-mail: Yasumasa Kanada

 second message from April '99

Dear folks,

Our latest record was established as the followings;

Declared record: 68,719,470,000 decimal digits
Two independent calculation based on two different algorithms generated 68,719,476,736 (=2^36) decimal digits of pi and comparison of two generated sequences matched 68,719,476,693 decimal digits, e.g., 43 decimal digits difference. Then we are declaring 68,719,470,000 decimal digits as the new world record.

Main program run:
Job start : 2nd April 1999 20:14:38
Job end : 4th April 1999 05:08:41
Elapsed time : 32:54:02
Main memory : 296 GB
Algorithm : Gauss-Legendre algorithm

Verification program run:
Job start : 4th April 1999 05:08:48
Job end : 5th April 1999 20:29:25
Elapsed time : 39:20:37
Main memory : 280 GB
Algorithm : Borwein's 4-th order convergent algorithm
======================================================================

Yasumasa KANADA
Computer Centre, University of Tokyo
Bunkyo-ku Yayoi 2-11-16
Tokyo 113 Japan
Fax : +81-3-3814-7231 (office)
E-mail: Yasumasa Kanada