Brief History of Pi Calculations



From: http://oldweb.cecm.sfu.ca/projects/ISC/Pihistory.html

Table of computation of Pi from 2000 BC to 1900 AD

     Name                   Year             Length  Value
Babylonians                 2000? BCE           1    3.125  = 3 + 1/8
Egyptians                   2000? BCE           1    3.16045 
China                       1200? BCE           1    3 
Bible (1 Kings 7:23)         550? BCE           1    3  
Archimedes                   250? BCE           3    3.1418 (ave.)  
Hon Han Shu                  130 AD             1    3.1622  = sqrt(10) ?  
Ptolemy                      150                3    3.14166  
Chung Hing                   250?               1    3.16227 = sqrt(10)  
Wang Fau                     250?               1    3.15555  = 142/45 
Liu Hui                      263                5    3.14159  
Siddhanta                    380                3    3.1416  
Tsu Ch'ung Chi               480?               7    3.1415926  
Aryabhata                    499                4    3.14156  
Brahmagupta                  640?               1    3.162277 = sqrt(10)  
Al-Khowarizmi                800                4    3.1416  
Fibonacci                   1220                3    3.141818  
Al-Kashi                    1429               14    
Otho                        1573                6    3.1415929  
Viete                       1593                9    3.1415926536 (ave.)  
Romanus                     1593               15    
Van Ceulen                  1596               20    
Van Ceulen                  1615               35    
Newton                      1665               16    
Sharp                       1699               71    
Seki                        1700?              10    
Kamata                      1730?              25    
Machin                      1706              100    
De Lagny                    1719              127    (112 correct)  
Takebe                      1723               41    
Matsunaga                   1739               50    
Vega                        1794              140    
Rutherford                  1824              208    (152 correct)  
Strassnitzky and Dase       1844              200    
Clausen                     1847              248    
Lehmann                     1853              261    
Rutherford                  1853              440    
Shanks                      1874              707    (527 correct)  

From: ftp://pi.super-computing.org/windows/super_pi.zip

Brief history of Pi calculation with computers

     Name                     Year/Month Calculated length  Machine used
G.W. Reitwiesner etc.               1949              2,037  ENIAC
S.C. Nicholson & J. Jeenel          1954              3,092  NORC
G.E. Felton                         1957              7,480  Pegasus
F. Genuys                           1958             10,000  IBM 704
G.E. Felton                         1958             10,020  Pegasus
J. Guilloud                         1959             16,167  IBM 704
W. Shanks & T.W. Wrench Jr.         1961            100,265  IBM 7090
J. Guilloud & J. Filliatre          1966            250,000  IBM 7030
J. Guilloud & M. Dichampt           1967            500,000  CDC 6600
J. Guilloud & M. Bouyer             1973          1,001,250  CDC 7600
K. Miyoshi & Y. Kanada              1981          2,000,036  FACOM M-200 
J. Guilloud                         1981-82       2,000,050  not known
Y. Tamura                           1982          2,097,144  MELCOM 900II
Y. Tamura & Kanada                  1982          4,194,288  HITAC M-280H
Y. Tamura & Kanada                  1982          8,388,576  HITAC M-280H
Y. Kanada, S. Yoshino & Y. Tamura   1983         16,777,206  HITAC M-280H
Y. Ushiro & Y. Kanada               1983/10   (*)10,013,395  HITAC S-810/20
W. Gosper                           1985/10      17,526,200  Symbolics 3670
D.H. Bailey                         1986/01      29,360,111  CRAY-2
Y. Kanada & Y. Tamura               1986/09      33,554,414  HITAC S-810/20
Y. Kanada & Y. Tamura               1986/10      67,108,839  HITAC S-810/20
Y. Kanada, Y. Tamura, Y. Kubo, etc. 1987/01     134,214,700  NEC SX-2
Y. Kanada & Y. Tamura               1988/01     204,326,551  HITAC S-820/80
G.V. Chudnovsky & D.V. Chudnovsky   1989/05     480,000,000  CRAY-2 & IBM-3090/VF
G.V. Chudnovsky & D.V. Chudnovsky   1989/06     535,339,270  IBM 3090
Y. Kanada & Y. Tamura               1989/07     536,870,898  HITAC S-820/80
G.V. Chudnovsky & D.V. Chudnovsky   1989/08   1,011,196,691  IBM 3090
Y. Kanada & Y. Tamura               1989/11   1,073,740,799  HITAC S-820/80
G.V. Chudnovsky & D.V. Chudnovsky   1991/08   2,260,000,000  Home made parallel computer (detail unknown. not verified.)
D. Takahashi & Y. Kanada            1995/06   3,221,220,000  HITAC S-3800/480(uses 2 CPU)
G.V. Chudnovsky & D.V. Chudnovsky   1994/05   4,044,000,000  New home made parallel computer (detail unknown. not verified.)
D. Takahashi & Y. Kanada            1995/08   4,294,960,000  HITAC S-3800/480(uses 2 CPU)
D. Takahashi & Y. Kanada            1995/09   6,442,450,000  HITAC S-3800/480(uses 2 CPU)
D. Takahashi & Y. Kanada            1997/06  51,539,600,000  HITACHI SR2201 Computer Centre, U. of Tokyo, 1024 Processors
D. Takahashi & Y. Kanada            1999/04  68,719,470,000  HITACHI SR8000 Computer Centre, U. of Tokyo, 64 of 128 CPUs
D. Takahashi & Y. Kanada            1999/09 206,158,430,000  HITACHI SR8000 Computer Centre, U. of Tokyo, 128 CPUs
Yasumasa Kanada & 9 man team        2002/09 1.2411 trillion  HITACHI supercompute, Information Technology Center, U. of Tokyo

(*) First pi record calculated with supercomputer. (for the reference.)

Yasumasa KANADA
Computer Centre, University of Tokyo
Bunkyo-ku Yayoi 2-11-16
Tokyo 113 Japan
Fax   : +81-3-3814-7231 (office)
E-mail: kanada@pi.cc.u-tokyo.ac.jp

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Last 5 record lines added by Harry J. Smith. Last update 2002/12.

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