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)
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