[math-fun] Explain the 710.
12 Aug
2016
12 Aug
'16
7:49 p.m.
Easy. In[136]:= TakeLargest[Table[Csc@n/n/n, {n, 999}], 7] // Timing Out[136]= {0.08285, {Csc[1], Csc[3]/9, Csc[2]/4, Csc[710]/504100, Csc[7]/49, Csc[9]/81, Csc[44]/1936}} Change 999 to 39999999: In[135]:= TakeLargest[Table[Csc@n/n/n, {n, 39999999}], 7] // Timing Out[135]= {3135.54, {Csc[1], Csc[3]/9, Csc[2]/4, Csc[710]/504100, Csc[7]/49, Csc[9]/81, Csc[44]/1936}} It took 38 thousand times longer to get the same answer. Ultrahard: Change 39999999 to ∞. Will that change the answer? --rwg Do you think the ∞ answer will *ever* be known?
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Bill Gosper