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How many integer partitions of a googol (10^100) into at most 60 parts
Shalom Gil, Good question. I bet you meant p_60(10^(10000)) NOT p_60(10000). Using the Maple package PARTITIONS, soon to be posted in a joint work with Andrew Sills, typing restart: read PARTITIONS: t0:=time():qmn(60,10^10000): time()-t0; gave 3.121 seconds. If you want to actually see the 589838-digit integer, ending in 71918678375357 it took 3.932 seconds. -Doron Z. |
Jul
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How many integer partitions of a googol (10^100) into at most 60 parts
The further values are also correct, but it is not clear whether Peter had all the digits, or did it with floating point. Joro did a great job, but still it took his computer two hours. Shalosh can do it in two seconds once it found the quasi-polynomial expression for p_60(n), and it found it in 400 seconds. So Shalosh does first symbol-crunching then number-crunching. -Doron Z. |
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accepted | How many integer partitions of a googol (10^100) into at most 60 parts |
Jul
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How many integer partitions of a googol (10^100) into at most 60 parts
The answer is correct, Bravo! I am not sure who joro is, but Gerogi Guniski sent me Email a few minutes ago, with the correct answer, and whether he is joro or not, Georgi won the prize! Georgy, Can you do p_60(10^1000)? p_60(10^10000)? |
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answered | Help with a double sum, please |