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 The better thing to find out is how many people need to run bitaxes for the solo miners to have a significant chance, like 5%, to mine a block every ten minutes. How many bitaxes for every 1 in a 1000, 500, 100, 50, etc. blocks to be solo mined? 
 To be 5% of the network youd need 50 million bitaxes.
 
 Me and my homies are covering .0000006% of the network. 
 I did some quick rough math, and came up with the following. For a bitaxe to find a block once in each interval, you'd need somewhere around the listed number of bitaxes on the network with the current hashrate. 

1 block per day - 5 million Bitaxes
7 days -  700 thousand
30 days - 160 thousand 
1 year - 15 thousand

How many bitaxes are out there now? Maybe a few hundred to a thousand or so? And we're only adding more. 
 If you ain’t solo mining you ain’t living