What is most of the exact formula of Pie / 3.14?

1 Rhind papyrus 2000 BC 1 3.16045 (= 4(8/9)2) 

2 Archimedes 250 BC 3 3.1418 (average of the bounds) 

3 Vitruvius 20 BC 1 3.125 (= 25/8) 

4 Chang Hong 130 1 3.1622 (= 10) 

5 Ptolemy 150 3 3.14166 

6 Wang Fan 250 1 3.155555 (= 142/45) 

7 Liu Hui 263 5 3.14159 

8 Zu Chongzhi 480 7 3.141592920 (= 355/113) 

9 Aryabhata 499 4 3.1416 (= 62832/2000) 

10 Brahmagupta 640 1 3.1622 (= 10) 

11 Al-Khwarizmi 800 4 3.1416 

12 Fibonacci 1220 3 3.141818 

13 Madhava 1400 11 3.14159265359 

14 Al-Kashi 1430 14 3.14159265358979 

15 Otho 1573 6 3.1415929 

16 Viète 1593 9 3.1415926536 

17 Romanus 1593 15 3.141592653589793 

18 Van Ceulen 1596 20 3.14159265358979323846 

19 Van Ceulen 1596 35 3.1415926535897932384626433832795029 

20 Newton 1665 16 3.1415926535897932 

21 Sharp 1699 71  

22 Seki Kowa 1700 10

23 Kamata 1730 25

24 Machin 1706 100  

25 De Lagny 1719 127 Only 112 correct 

26 Takebe 1723 41  

27 Matsunaga 1739 50  

28 von Vega 1794 140 Only 136 correct 

29 Rutherford 1824 208 Only 152 correct 

30 Strassnitzky, Dase 1844 200  

31 Clausen 1847 248  

32 Lehmann 1853 261 

33 Rutherford 1853 440  

34 Shanks 1874 707 Only 527 correct 

35 Ferguson 1946 620 

 

Computer calculations of  PI

 Mathematician Date Places Type of computer 

 

 Ferguson Jan 1947 710 Desk calculator

 

 Ferguson, Wrench Sept 1947 808 Desk calculator

 

 Smith, Wrench 1949 1120 Desk calculator

 

 Reitwiesner et al. 1949 2037 ENIAC

 

 Nicholson, Jeenel 1954 3092 NORAC

 

 Felton 1957 7480 PEGASUS

 

 Genuys Jan 1958 10000 IBM 704 

 

 Felton May 1958 10021 PEGASUS

 

 Guilloud 1959 16167 IBM 704

 

 Shanks, Wrench 1961 100265 IBM 7090

 

 Guilloud, Filliatre 1966 250000 IBM 7030

 

 Guilloud, Dichampt 1967 500000 CDC 6600

 

 Guilloud, Bouyer 1973 1001250 CDC 7600

 

 Miyoshi, Kanada 1981 2000036 FACOM M-200

 

 Guilloud 1982 2000050

 

 Tamura 1982 2097144 MELCOM 900II

 

 Tamura, Kanada 1982 4194288 HITACHI M-280H

 

 Tamura, Kanada 1982 8388576 HITACHI M-280H

 

 Kanada, Yoshino, Tamura 1982 16777206 HITACHI M-280H

 

 Ushiro, Kanada Oct 1983 10013395 HITACHI S-810/20

 

 Gosper Oct 1985 17526200 SYMBOLICS 3670

 

 Bailey Jan 1986 29360111 CRAY-2

 

 Kanada, Tamura Sept 1986 33554414 HITACHI S-810/20

 

 Kanada, Tamura Oct 1986 67108839 HITACHI S-810/20

 

 Kanada, Tamura, Kubo Jan 1987 134217700 NEC SX-2

 

 Kanada, Tamura Jan 1988 201326551 HITACHI S-820/80

 

 Chudnovskys May 1989 480000000

 

 Chudnovskys June 1989 525229270

 

 Kanada, Tamura July 1989 536870898

 

 Chudnovskys Aug 1989 1011196691

 

 Kanada, Tamura Nov 1989 1073741799

 

 Chudnovskys Aug 1991 2260000000

 

 Chudnovskys May 1994 4044000000

 

 Kanada, Tamura June 1995 3221225466

 

 Kanada Aug 1995 4294967286

 

 Kanada Oct 1995 6442450938

 

 Kanada, Takahashi Aug 1997 51539600000 HITACHI SR2201 

 

 Kanada, Takahashi Sept 1999 206158430000 HITACHI SR8000

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