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
60,000,000,000-th digits of pi and 1/pi: (Not checked yet.)
pi : ????? ????? ????? ?????
1/pi: ????? ????? ????? ?????
^
60,000,000,000-th
(First digit '3' for pi or '0' for 1/pi is not included in the above count.)
Frequency distribution for pi-3 up to 60,000,000,000 decimal places:
'0' : ??????????; '1' : ??????????; '2' : ??????????; '3' : ??????????
'4' : ??????????; '5' : ??????????; '6' : ??????????; '7' : ??????????
'8' : ??????????; '9' : ??????????; Chi square = ?.??
Frequency distribution for 1/pi up to 60,000,000,000 decimal places:
'0' : ??????????; '1' : ??????????; '2' : ??????????; '3' : ??????????
'4' : ??????????; '5' : ??????????; '6' : ??????????; '7' : ??????????
'8' : ??????????; '9' : ??????????; Chi square = ?.??
68,719,470,000-th digits of pi and 1/pi; (Not checked yet.)
pi : ????? ????? ????? ?????
1/pi: ????? ????? ????? ?????
^
68,719,470,000-th
(First digit '3' for pi or '0' for 1/pi is not included in the above count.)
Some of interesting digits sequences; (Not checked yet.)
(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. CPU used was HITACHI SR8000 at the Computer Centre,
University of Tokyo. Half of total CPU, e.g. 64PE's, were definitely used
through single job parallel processing for both of programs run.
Yasumasa KANADA
Computer Centre, University of Tokyo
Bunkyo-ku Yayoi 2-11-16
Tokyo 113-8658 Japan
Fax : +81-3-3814-7231 (office)
E-mail: kanada@pi.cc.u-tokyo.ac.jp