Declared Record: 6,442,450,000 Decimal Digits

Dear folks,

Our latest record was established as the followings;

Declared record:
 6,442,450,000 decimal digits
 Two independent calculation based on two different algorithms generated
6,442,450,944 (=3*2^31) decimal digits of pi and comparison of two generated
sequences matched 6,442,450,938 decimal digits, e.g., 6 decimal digits
difference.  Then we are declaring 6,442,450,000 decimal digits as the
new world record.

Main program run:
 Job start    : 19th September 1995 20:54
 Job end      : 24th September 1995 17:32
 Elapsed time : 116:38:12
 Vector CPU   : 112:36:06
 Main memory  : 1856.75 MB
 ES memory    : 32764 MB
 Algorithm    : Borwein's 4-th order convergent algorithm

Verification program run:
 Job start    : 06th October 1995 09:58
 Job end      : 11th October 1995 21:38
 Elapsed time : 131:40:24
 Vector CPU   : 135:45:52
 Main memory  : 1792.75 MB
 ES memory    : 32328 MB
 Algorithm    : Gauss-Legendre algorithm

======================= From here =========================
4,000,000,000-th digits of pi and 1/pi:
 pi  : 94375 34306 22684 47216
 1/pi: 71480 70425 69013 58924
                             ^
                4,000,000,000-th
 (First digit '3' for pi or '0' for 1/pi is not included in the above count.)
================= to there, to be updated later ===========

Frequency distribution for pi-3 up to 6,000,000,000 decimal places:
 '0' : 599963005; '1' : 600033260; '2' : 599999169; '3' : 600000243
 '4' : 599957439; '5' : 600017176; '6' : 600016588; '7' : 600009044
 '8' : 599987038; '9' : 600017038; Chi square = 9.00

Frequency distribution for 1/pi up to 6,000,000,000 decimal places:
 '0' : 599978305; '1' : 600024329; '2' : 600007880; '3' : 600006529
 '4' : 599976720; '5' : 599986534; '6' : 600012285; '7' : 600023761
 '8' : 599975659; '9' : 600007998; Chi square = 5.44

======================= From here =========================
4,294,960,000-th digits of pi and 1/pi;
 pi  : 55675 13149 35865 45528
 1/pi: 96350 29339 14953 51156
                             ^
                4,294,960,000-th
 (First digit '3' for pi or '0' for 1/pi is not included in the above count.)
================= to there, to be updated later ===========

Programs were written by Mr. Daisuke TAKAHASHI, a member of Kanada Lab.
CPU used was HITAC S-3800/480 at the Computer Centre, University of Tokyo.
Two CPU were definitely used through single job parallel processing for
total of four 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: [email protected]

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