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Old 2013-08-17, 17:40   #4
Batalov
 
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Mar 2008
Phi(3,3^1118781+1)/3

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...and here's the snapshot of sizes. Observe the plateau at k*2^1290000-1 (388290+a few digits); it will grow longer and then will take over the whole end of the list. As a corollary, after it will happen, the apparent rate of the last Top5000 number's size progression ("to the next 10000") will stop for maybe a year.
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