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February 6th, 2012, 06:21 AM  #11 
Math Team Joined: Jul 2011 From: North America, 42nd parallel Posts: 3,372 Thanks: 233  Re: Partition (number theory)
Oh wow! That's great, Greathouse! I guess i got a little scared looking at the summation notation and functions with seperate definitions within functions. Do me a favor, try 10^60 and 10^600 and compare times, thanks. 
February 6th, 2012, 01:02 PM  #12  
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms  Re: Partition (number theory) Quote:
But perhaps you don't need to know these exactly  P(10^ already has over 11,000 digits. In that case there are good estimates that will give you what you want.  

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