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File  File author  Time 1m (seconds)  Time 16m (seconds)  Comments 
    3.91  106.8  Reference time with Chudnovsky formula 
Pi_Machin  Xavier Gourdon  13.30  361.8  Machin formula p/4=4 atan(1/5)  atan(1/239) 
Pi_Atan_Gauss  Xavier Gourdon  14.31  388.06  Gauss arctan formula p/4 = 12 atan(1/18)+8atan(1/57)5 atan(1/239) 
Pi_Stormer  Pascal Sebah  14.55  388.7  Stormer formula p/4 = 11atan(1/57) + 7atan(1/239)12 atan(1/682) +24atan(1/12943) 
Pi_BBP  Pascal Sebah  44.86  1234  BP formula by Plouffe and Borwein 
Pi_Sebah1  Pascal Sebah  13.36  360.5  p/4 = 8 atan(1/21)+3atan(1/239) +4atan(3/1024) 
Pi_Rational  Pascal Sebah  16.13  421.2  p = 20atan(29/278) + 28atan(3/79) 
Pilyster  Stuart Lyster  16.48  431.8  p/4 = 22atan(1/28) + atan(p/q) with p and q huge integers of thirty digits. 
File  File author  Time 1m (seconds)  Time 16m (seconds)  Comments 
Log2_Easy  Xavier Gourdon  38.36  1087  log(2) = log[1/(11/2)] = å_{n > 0} 1/n/2^{n} 
Log2_Basic  Xavier Gourdon  12.95  360.2  log(2) = 2 atanh(1/3) = 2å_{n > =0} 1/(2n+1)/3^{2n+1} 
Log2_Sebah1  Xavier Gourdon  12.55  338.9  log(2) = 4 atanh(1/6) + 2 atanh(1/99) 
Log2_Sebah2  Xavier Gourdon  13.66  369.9  log(2) = 4 atanh(1/7) + 2 atanh(1/17) 
Log2_Sebah3  Xavier Gourdon  10.83  299.4  log(2) = 18 atanh(1/26)  2 atanh(1/4801) + 8 atanh(1/8749) 
Log2_Sebah4  Pascal Sebah  11.72  312.8  log(2) = 10 atanh(1/17)+4 atanh(13/449) 
Log2_Sebah5  Pascal Sebah  13.22  351  log(2) = 144atanh(1/251)+54atanh(1/449)38atanh(1/4801)+62atanh(1/8749) 
Log2_Sebah6  Pascal Sebah  13.48  363.5  log(2) = 14atanh(1/31)+10atanh(1/49)+6atanh(1/161) 
File  File author  Time 1m (seconds)  Time 16m (seconds)  Comments 
Log10_Easy  Pascal Sebah  19.94  554  log(10) = 6 atanh(1/3)+2atanh(1/9) 
Log10_Sebah1  Pascal Sebah  13.48  362.7  log(10)=46atanh(1/31)+34atanh(1/49)+20atanh(1/161) 

File  File author  Time 1m (seconds)  Time 16m (seconds)  Comments 
Zeta3_Apery  Xavier Gourdon  46.28  1498  Apery's formula 
Zeta3_Zeilberger  Xavier Gourdon  21.72  651  A Amdeberhan Zeilberger formula 
Zeta3_Zeilberger2  Xavier Gourdon  23.36  705.5  Another Amdeberhan Zeilberger formula 
File  File author  Time 1M (seconds)  Comments 
Sqrt2_Easy  Pascal Sebah  7.84  Ö2 = (7/5)(11/50)^{1/2} (Knopp) 
Sqrt2_Sebah1  Pascal Sebah  3.63  Ö2 = (239/169)(11/57122)^{1/2} 
Sqrt2_Sebah2  Pascal Sebah  3.19  Ö2 = (1393/985)(11/1940450)^{1/2} 
Sqrt2_Sebah3  Pascal Sebah  2.78  Ö2 = (8119/5741)(11/65918162)^{1/2} 
Sqrt2_Sebah4  Pascal Sebah  2.56  Ö2 = (47321/33461)(11/2239277042)^{1/2} 
Sqrt2_Sebah5  Pascal Sebah  2.47  Ö2 = (275807/195025)(11/76069501250)^{1/2} 
File  File author  Time 1M (seconds)  Comments 
Golden_Easy  Pascal Sebah  17.28  f = 1/2+(11/5)^{1/2} 
Golden_Sebah1  Pascal Sebah  4.76  f = 1/2+(19/17)(11/1445)^{1/2} 
Golden_Sebah2  Pascal Sebah  3.30  f = 1/2+(341/305)(11/465125)^{1/2} 
Golden_Sebah3  Pascal Sebah  2.73  f = 1/2+(6119/5473)(11/149768645)^{1/2} 
Golden_Sebah4  Pascal Sebah  2.50  f = 1/2+(109801/98209)(11/48225038405)^{1/2} 
Golden_Sebah5  Pascal Sebah  2.34  f = 1/2+(1970299/1762289)(11/15528312597605)^{1/2} 
Golden_Cutler  Anthony Cutler  f = 1/2+(A/B)(11/C)^{1/2} where A and B are 26digits integers and C a 51digits integer 

File  File author  Time 1m (seconds)  Time 16m (seconds)  Comments 
Catalan_Broadhurst  Pascal Sebah  171.9  4888  A Broadhurst BBP formula 
Catalan_Lupas  Pascal Sebah  105.1  3060  A Lupas formula in the Zeilberger style 
Catalan_Sebah1  Pascal Sebah  175.94  4828  A rearragement of Broadhurst formula 
Catalan_Huvent  Gery Huvent  142.02  A formula from G. Huvent 
File  File author  Time 1M (seconds)  Comments 
Lemniscate_Gauss  Pascal Sebah  31.44  A Gauss formula 
Lemniscate_Sebah1  Pascal Sebah  39.53  
Zeta5_Huvent  Gery Huvent  475.78  A zeta(5) formula from G. Huvent 
Zeta5_Broadhurst  Gery Huvent  510.80  A zeta(5) formula from Broadhurst 
Ln2_cube  Gery Huvent  A ln(2)^3 formula 