Saturday, July 14, 2007

π Calculations

Here are pi calculations with the year and name of person:





Chronicle of π Calculations
Name Year Correct Digits
Archimedes 250 b.c.e. 3
Ptolemy 150 3
Liu Hui 263 5
Tsu Ch’ung Chi 480? 7
Al-Kashi 1429 14
Romanus 1593 15
Van Ceulen 1615 35
Sharp 1699 71
Machin 1706 100
Strassnitzky and Dase 1844 200
Rutherford 1853 440
Shanks 1874 527
Reitwiesner et al. (ENIAC) 1949 2,037
Genuys 1958 10,000
Shanks and Wrench 1961 100,265
Guilloud and Bouyer 1973 1,001,250
Miyoshi and Kanada 1981 2,000,036
Kanada, Yoshino and Tamura 1982 16,777,206
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 et. al Jan. 1987 134,217,700
Kanada and Tamura Jan. 1988 201,326,551
Chudnovsky Brothers May 1989 480,000,000
Kanada and Tamura Jul. 1989 536,870,898
Kanada and Tamura Nov. 1989 1,073,741,799
Chudnovskys Aug. 1991 2,260,000,000
Chudnovskys May 1994 4,044,000,000
Kanada and Takahashi Oct. 1995 6,442,450,938
Kanada and Takahashi Jul. 1997 51,539,600,000
Kanada and Takahashi Sep. 1999 206,158,430,000
Kanada, Ushiro, Kuroda Dec. 2002 1,241,100,000,000

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