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Historical Computation Of PI Table

3.1415926535897932384626433832795028841971693993751....

On our site and in all of our calculators, 3.14159 is the value for PI that we use, except those that we specify as higher accuracy. Please see our Piece Of PI information. You can also calculate it yourself using our PI Calculator. Dividing the PI(e) has always been a problem but sometimes multiplying with it is also. You can do either here; PI power is also available.

Table Of Computation Of Pi From 2000 BC (Roughly, Give Or Take 3.14159 Years) To Now


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)  

The 20'th Century


Ferguson                    1946                   620  

Ferguson                    Jan. 1947              710  

Ferguson and Wrench         Sep. 1947              808  

Smith and Wrench            1949                 1,120  

Reitwiesner et al. (ENIAC)  1949                 2,037  

Nicholson and Jeenel        1954                 3,092  

Felton                      1957                 7,480  

Genuys                      Jan. 1958           10,000  

Felton                      May  1958           10,021  

Guilloud                    1959                16,167  

Shanks and Wrench           1961               100,265  

Guilloud and Filliatre      1966               250,000  

Guilloud and Dichampt       1967               500,000  

Guilloud and Bouyer         1973             1,001,250  

Miyoshi and Kanada          1981             2,000,036  

Guilloud                    1982             2,000,050  

Tamura                      1982             2,097,144  

Tamura and Kanada           1982             4,194,288  

Tamura and Kanada           1982             8,388,576  

Kanada, Yoshino and Tamura  1982            16,777,206  

Ushiro and Kanada           Oct. 1983       10,013,395  

Gosper                      1985            17,526,200  

Bailey                      Jan. 1986       29,360,111  

Kanada and Tamura           Sep. 1986       33,554,414  

Kanada and Tamura           Oct. 1986       67,108,839  

Kanada, Tamura, Kubo et al  Jan. 1987      134,217,700  

Kanada and Tamura           Jan. 1988      201,326,551  

Chudnovskys                 May  1989      480,000,000  

Chudnovskys                 Jun. 1989      525,229,270  

Kanada and Tamura           Jul. 1989      536,870,898  

Kanada and Tamura           Nov. 1989    1,073,741,799  

Chudnovskys                 Aug. 1989    1,011,196,691  

Chudnovskys                 Aug. 1991    2,260,000,000  

Chudnovskys                 May  1994    4,044,000,000  

Takahashi and Kanada        Jun. 1995    3,221,225,466  

Takahashi and Kanada        Aug. 1995    4,294,967,286

Takahashi and Kanada        Oct. 1995    6,442,450,938



The N'th Binary Digit


Bailey, Borwein, Plouffe    Nov. 1995    40,000,000,000 (HEX 921C73C6838FB2)

Bellard                     Jul. 1996   200,000,000,000 (HEX 1A10A49B3E2B82A4404F9193AD4EB6) 

Bellard                     Oct. 1996   400,000,000,000 (HEX 9C381872D27596F81D0E48B95A6C46)

Version 1.3.1


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